Post-transcriptional regulation of circadian gene expression by miRNAs

La grande majorité des organismes vivants ont développé un système d'horloges biologiques internes, appelées aussi horloges circadiennes, contrôlant l'expression de gênes impliqués dans de nombreux processus moléculaires et comportementaux. Au cours de la dernière décennie, des analyses « microarray » et séquençages à haut débit sur divers tissus de mammifères, indiquent que jusqu'à 20% du transcriptome serait sous contrôle circadien. Il était jusqu'à présent admis que la majorité des ARNm ayant une accumulation rythmique était générée par une transcription qui était elle-même rythmique. Toutefois, de récentes études ont suggéré qu'une proportion considérable des ARNm cycliques serait en fait générée par des mécanismes post-transcriptionnelles, incluant une régulation par micro-ARN (miARN). Lorsque j'ai débuté mon travail de thèse, l'influence des miARN sur l'expression des gènes circadiens, au niveau pangénomique, était encore méconnue. Par l'utilisation d'un modèle murin, dont la biogenèse des miARN a été spécifiquement désactivée au niveau des cellules hépatiques (knockout conditionnel pour Dicer), je me suis donc intéressée au rôle que jouaient ces molécules régulatrices sur la rythmicité de l'expression génique dans le foie. Des séquençages sur l'ensemble du transcriptome révèlent que l'horloge interne du foie est étonnement résistante à la perte totale des miARN. Nous avons cependant trouvé que les miARN agissent de façon importante sur la régulation de l'expression des gènes contrôlés par l'horloge moléculaire. La corégulation par les miARN, affectant jusqu'à 30% des gènes transcrits de façon rythmiques, conduit ainsi à une modulation de phase et d'amplitude du rythme de l'abondance des ARNm. En revanche, seuls peu de transcrits dépendent uniquement des miARN pour la rythmicité de leur accumulation. Enfin, mon travail met en évidence plusieurs miARN spécifiques, qui semblent préférentiellement moduler l'expression des gènes cycliques et permet l'identification de voies hépatiques particulièrement sujettes à une double régulation par les miARN et l'horloge biologique interne. La première masse d'analyses a essentiellement porté sur le rôle que jouent les miARN au niveau de l'expression des gènes contrôlés par l'horloge interne. Dans deux études de suivi, je me suis penchée sur deux aspects supplémentaires et complémentaires de la manière dont les miARN et l'oscillation de l'expression des gènes interagissent. Dans les hépatocytes murins, spécifiquement privés de Dicer, je me suis demandée si un phénotype horloge avait pu être masqué, dû à un entraînement stable de l'horloge du foie par l'horloge maîtresse du cerveau. J'ai donc commencé une série d'expériences ambitieuses (impliquant la mesure de la rythmicité du foie in vivo, chez l'animal vivant) afin de déséquilibrer l'entrainement de l'horloge hépatique via l'utilisation d'un protocole nutritionnel spécifique. Les premiers résultats suggèrent que dans des conditions où l'animal subit une restriction alimentaire pendant la journée, les miARN sont importants dans la cinétique d'adaptation des organes périphériques à un nouvel horaire de sustentation. Dans une deuxième ligne de recherche, j'ai plus profondément étudié quels seraient les miARN responsables des rythmes post-transcriptionnels des ARNm, en utilisant le séquençage de « small » ARN sur 24h. L'analyse est en cours et se poursuivra après l'obtention de mon diplôme. De façon générale, mon travail révèle d'importants et nouveaux rôles des miARN dans la modulation de l'expression circadienne des gènes hépatiques. De plus, le set de données générées dans l'étude déjà publiée, peut dorénavant servir de ressource valable pour de prochaines investigations sur le rôle physiologique que les miARN jouent au niveau du foie. -- Most living organisms have developed internal timing systems, called circadian clocks, to drive the rhythmic expression of genes involved in many molecular and behavioral processes. Over the last decade, microarray analyses and high- throughput sequencing from various mammalian tissues have indicated that up to 20% of the transcriptome are under circadian control. It was generally assumed that the majority of rhythmic mRNA accumulation is generated by rhythmic transcription. However, recent studies have suggested that a considerable proportion of mRNA cycling may actually be generated by post-transcriptional mechanisms, including by microRNAs. When I started my thesis work, it was still unknown how miRNAs influence circadian gene expression in a genome-wide fashion. Using a mouse model in which miRNA biogenesis can be inactivated in hepatocytes (conditional Dicer knockout mouse), I have thus addressed the role that these regulatory molecules play in rhythmic gene expression in the liver. Whole transcriptome sequencing revealed that the hepatic core clock was surprisingly resilient to total miRNA loss. However, we found that miRNAs acted as important regulators of clock-controlled gene expression. Co- regulation by miRNAs, which affected up to 30% of rhythmically transcribed genes, thus led to the modulation of phases and amplitudes of mRNA abundance rhythms. By contrast, only very few transcripts were strictly dependent on miRNAs for their rhythmic accumulation. Finally, my work highlights several specific miRNAs that appear to preferentially modulate cyclic gene expression, and identifies pathways in the liver that are particularly prone to dual regulation through miRNAs and the clock. The first bulk of analyses mainly dealt with the role that miRNAs play at the level of rhythmic clock output gene expression. In two follow-up studies I further delved into two additional, complementary aspects of how miRNAs and gene expression oscillations interact. First, I addressed whether a core clock phenotype in the hepatocyte-specific Dicer knockout could have been masked due to the stable entrainment of the liver clock by the animals' master clock in the brain. I thus started a series of ambitious experiments (involving the in vivo recording of liver rhythms in live animals) to bring the stable entrainment of the liver clock out of equilibrium using specific feeding protocols. My first results suggest that under conditions when animals are challenged by food restriction to daytime, miRNAs are important for the kinetics of adapting to unusual mealtime in peripheral tissue. In a second line of research, I have more carefully investigated which miRNAs are responsible for post- transcriptional mRNA rhythms using small RNA sequencing around-the-clock. The analyses are ongoing and will be continued after my graduation. Overall, my work uncovered important and novel roles of miRNA activity in shaping hepatic circadian gene expression; moreover, the datasets collect in the published studies can serve as a valuable resource for further investigations into the physiological roles that miRNAs play in liver. -- L'alternance du jour et de la nuit dirige depuis longtemps la vie quotidienne des êtres humains et de la plupart des organismes sur terre. Ce cycle de 24 heures façonne beaucoup de changements comportementaux et physiologiques tels que la vigilance, la température corporelle et le sommeil. Les rythmes journaliers, appelés rythmes circadiens, sont dirigés par des horloges biologiques tournant dans presque chaque cellule du corps. Une structure dans le cerveau agit en tant qu'horloge maitresse pour synchroniser les horloges internes entre elles et en fonction des signaux de jour/nuit extérieurs. Dans les cellules "les gènes de l'horloge" sont activés et désactivés une fois par jour ce qui déclenche des cycles dans lesquels des protéines sont produites de manière circadienne. Ces rythmes protéiques sont spécialisés pour chaque tissu ou organe et peuvent les aider à réaliser leurs tâches quotidiennes. Les rythmes circadiens peuvent être générés d'autres manières n'impliquant pas directement les composants des gènes de l'horloge. Les ARN messagers (ARNm) sont des molécules intermédiaires dans la production de protéines à partir d'ADN. Dans le foie des souris jusqu'à 20% des molécules d'ARNm sont produites suivant des rythmes circadiens. Le foie réalise des tâches essentielles dans le contrôle du métabolisme incluant celui des hydrates de carbone, des graisses et du cholestérol. Un timing précis est important afin de traiter les substances nutritives correctement lors des repas il en résulte une variation des quantités de certains ARNm et protéines coïncidant avec les repas. Les microARNs constituent une autre classe de molécules ARN de très petite taille qui régulent l'efficacité de traduction des ARNm en protéines et la stabilité des ARNm. Lors de mon travail de thèse, j'ai exploré de manière approfondie l'influence de ces petits régulateurs sur les rythmes circadiens du foie de souris. Ces expériences qui impliquaient le "Knock-out" d'un gène essentiel à la production de microARNs montrent qu'au lieu de générer les rythmes des ARNm, les microARNs les ajustent pour répondre aux besoins spécifiques du foie comme assurer leur pic au bon moment de la journée. Le ciblage de microARNs spécifiques peut révéler de nouvelles stratégies pour rectifier ces rythmes lorsque par exemple les fonctions métaboliques ne fonctionnent plus normalement. -- The rising and setting of the sun have long driven the daily schedules of humans and most organisms on the earth. This 24-hr cycle shapes many behavioural and physiological changes, such as alertness, body temperature, and sleep. These daily rhythms, which are called circadian rhythms, are dictated by biological clocks that are ticking in almost every single cell of the body. A region in the brain acts as a master clock to synchronize the internal clocks with each other and with the outside light/dark cycles. In cells, "core clock genes" are turned on and off once per day, which triggers cycles that cause some proteins to be produced in a circadian manner. The protein rhythms are specialized to a particular tissue or organ, and may help them to carry out their designated daily tasks. However, circadian rhythms might also be produced by other ways that do not involve these core clock components. Messenger RNAs (mRNAs) are intermediate molecules in the production of proteins from DNA. In the mouse liver, up to 20% of mRNA molecules are produced in circadian cycles. The liver performs essential tasks that control metabolism-including that of carbohydrates, fats, and cholesterol. Precisely timing when certain mRNAs and proteins reach peaks and troughs in their activities to coincide with mealtimes is important for nutrients to be properly processed. Other RNA molecules called microRNAs, i.e. RNAs of very small size, regulate at which rate mRNA molecules are translated into proteins. In my thesis work, I have explored at the influence of these small regulators on circadian rhythms in the mouse liver in greater detail. These experiments, which involved "knocking out" a gene that is essential for the production of microRNAs, show that rather than generating the mRNA rhythms, the microRNAs appear to adjust them to meet the specific needs of the liver, such as ensuring that they peak at the right time-of-day. Targeting specific microRNA molecules may reveal new strategies to tweak these rhythms, which could help to improve conditions when metabolic functions go wrong.

Radanohjaimen suunnittelu leveille päällystyskoneille

Radanohjaimia käytetään radan poikkisuuntaiseen paikoitukseen sekä oskillointiin ja ne ovat osa paperinvalmistuslinjojen radanhallintajärjestelmiä. Oikein suunnitellulla ja sijoitetulla radanohjaimella voidaan estää haitallisten ratasiirtymien esiintyminen, pienentää hylkymateriaalin määrää sekä parantaa rullauksen laatua. Ohjausperiaatteet sekä niihin liittyvä laitetekniikka on tunnettu jo vuosikymmenten ajan, joskin todelliset radanohjaustarpeet ja -laitteet ovat tähän asti rajoittuneet paino-, tekstiili- ja metalliteollisuudessa käytössä oleville kapeille radoille. Tämän työn tavoitteena oli selvittää 5… 12 metriä leveälle, modernissa päällystyskoneessa kulkevalle paperiradalle soveltuvat ohjausperiaatteet sekä muodostaa radan todennäköisimpiin vauriomuotoihin perustuvat suunnittelukriteerit kahdelle erityyppiselle ohjainkonstruktiolle. Yksitelainen, taivuttava radanohjain soveltuu kohteisiin, joissa ohjainta edeltää suhteellisen pitkä vapaa ratavienti. Kaksitelainen, taittava radanohjain on puolestaan sijoitettavissa huomattavasti lyhyempään ratavientiin. Radanohjauksen teoria pohjautuu pitävän telan ja radan väliseen kohtisuoran tulokulman periaatteeseen, jonka perusteella mikä tahansa yhdensuuntaisuuspoikkeama kahden telan välillä johtaa radan poikkisuuntaiseen siirtymään. Tämän periaatteen pohjalta voidaan dynaamista ohjaustilannetta approksimoida staattisin menetelmin sekä muodostaa kireysmuutoksiin ja aaltoiluun perustuvat geometrian mitoitusperiaatteet ohjaimen ympäristön ratavienneille. Nopean ohjauksen toteutus edellyttää radanohjaimen liikkeen olevan nivelen ympäri tapahtuvaa yhdistettyä translaatio- ja rotaatioliikettä. Ohjainkonstruktiot suunnitellaan siten, että teorian mukaiset optimaaliset liikeradat toteutuvat vaaditulla ohjausnopeudella. Suunnittelua ohjaavat tuotteille asetetut lujuus- ja värähtelykriteerit sekä aiheeseen liittyvät koneturvallisuusstandardit. Konstruointi suoritetaan järjestelmällisen tuotesuunnitteluprosessin vaiheiden ja menetelmien mukaisesti.

Fast oscillatory activity in the anterior cingulate cortex: dopaminergic modulation and effect of perineuronal net loss.

Dopamine release in the prefrontal cortex plays a critical role in cognitive function such as working memory, attention and planning. Dopamine exerts complex modulation on excitability of pyramidal neurons and interneurons, and regulates excitatory and inhibitory synaptic transmission. Because of the complexity of this modulation, it is difficult to fully comprehend the effect of dopamine on neuronal network activity. In this study, we investigated the effect of dopamine on local high-frequency oscillatory neuronal activity (in β band) in slices of the mouse anterior cingulate cortex (ACC). We found that dopamine enhanced the power of these oscillations induced by kainate and carbachol, but did not affect their peak frequency. Activation of D2R and in a lesser degree D1R increased the oscillation power, while activation of D4R had no effect. These high-frequency oscillations in the ACC relied on both phasic inhibitory and excitatory transmission and functional gap junctions. Thus, dopamine released in the ACC promotes high-frequency synchronized local cortical activity which is known to favor information transfer, fast selection and binding of distributed neuronal responses. Finally, the power of these oscillations was significantly enhanced after degradation of the perineuronal nets (PNNs) enwrapping most parvalbumin interneurons. This study provides new insights for a better understanding of the abnormal prefrontal gamma activity in schizophrenia (SZ) patients who display prefrontal anomalies of both the dopaminergic system and the PNNs.

Gamma oscillations in V1 are correlated with GABAA receptor density: A multi-modal MEG and Flumazenil-PET study.

High-frequency oscillations in the gamma-band reflect rhythmic synchronization of spike timing in active neural networks. The modulation of gamma oscillations is a widely established mechanism in a variety of neurobiological processes, yet its neurochemical basis is not fully understood. Modeling, in-vitro and in-vivo animal studies suggest that gamma oscillation properties depend on GABAergic inhibition. In humans, search for evidence linking total GABA concentration to gamma oscillations has led to promising -but also to partly diverging- observations. Here, we provide the first evidence of a direct relationship between the density of GABAA receptors and gamma oscillatory gamma responses in human primary visual cortex (V1). By combining Flumazenil-PET (to measure resting-levels of GABAA receptor density) and MEG (to measure visually-induced gamma oscillations), we found that GABAA receptor densities correlated positively with the frequency and negatively with amplitude of visually-induced gamma oscillations in V1. Our findings demonstrate that gamma-band response profiles of primary visual cortex across healthy individuals are shaped by GABAA-receptor-mediated inhibitory neurotransmission. These results bridge the gap with in-vitro and animal studies and may have future clinical implications given that altered GABAergic function, including dysregulation of GABAA receptors, has been related to psychiatric disorders including schizophrenia and depression.

Hepatic circadian clock oscillators and nuclear receptors integrate microbiome-derived signals.

The liver is a key organ of metabolic homeostasis with functions that oscillate in response to food intake. Although liver and gut microbiome crosstalk has been reported, microbiome-mediated effects on peripheral circadian clocks and their output genes are less well known. Here, we report that germ-free (GF) mice display altered daily oscillation of clock gene expression with a concomitant change in the expression of clock output regulators. Mice exposed to microbes typically exhibit characterized activities of nuclear receptors, some of which (PPARα, LXRβ) regulate specific liver gene expression networks, but these activities are profoundly changed in GF mice. These alterations in microbiome-sensitive gene expression patterns are associated with daily alterations in lipid, glucose, and xenobiotic metabolism, protein turnover, and redox balance, as revealed by hepatic metabolome analyses. Moreover, at the systemic level, daily changes in the abundance of biomarkers such as HDL cholesterol, free fatty acids, FGF21, bilirubin, and lactate depend on the microbiome. Altogether, our results indicate that the microbiome is required for integration of liver clock oscillations that tune output activators and their effectors, thereby regulating metabolic gene expression for optimal liver function.

Hepatic circadian clock oscillators and nuclear receptors integrate microbiome-derived signals.

The liver is a key organ of metabolic homeostasis with functions that oscillate in response to food intake. Although liver and gut microbiome crosstalk has been reported, microbiome-mediated effects on peripheral circadian clocks and their output genes are less well known. Here, we report that germ-free (GF) mice display altered daily oscillation of clock gene expression with a concomitant change in the expression of clock output regulators. Mice exposed to microbes typically exhibit characterized activities of nuclear receptors, some of which (PPARα, LXRβ) regulate specific liver gene expression networks, but these activities are profoundly changed in GF mice. These alterations in microbiome-sensitive gene expression patterns are associated with daily alterations in lipid, glucose, and xenobiotic metabolism, protein turnover, and redox balance, as revealed by hepatic metabolome analyses. Moreover, at the systemic level, daily changes in the abundance of biomarkers such as HDL cholesterol, free fatty acids, FGF21, bilirubin, and lactate depend on the microbiome. Altogether, our results indicate that the microbiome is required for integration of liver clock oscillations that tune output activators and their effectors, thereby regulating metabolic gene expression for optimal liver function.

The internal wave field in Sau reservoir : Observation and modeling of a third vertical mode

Water withdrawal from Mediterranean reservoirs in summer is usually very high. Because of this, stratification is often continuous and far from the typical two-layered structure, favoring the excitation of higher vertical modes. The analysis of wind, temperature, and current data from Sau reservoir (Spain) shows that the third vertical mode of the internal seiche (baroclinic mode) dominated the internal wave field at the beginning of September 2003. We used a continuous stratification two-dimensional model to calculate the period and velocity distribution of the various modes of the internal seiche, and we calculated that the period of the third vertical mode is ;24 h, which coincides with the period of the dominating winds. As a result of the resonance between the third mode and the wind, the other oscillation modes were not excited during this period

The seasonal evolution of high vertical–mode internal waves in a deep reservoir

The causal mechanism and seasonal evolution of the internal wave field in a deep, warm, monomictic reservoirare examined through the analysis of field observations and numerical techniques. The study period extends fromthe onset of thermal stratification in the spring until midsummer in 2005. During this time, wind forcing wasperiodic, with a period of 24 h (typical of land–sea breezes), and the thermal structure in the lake wascharacterized by the presence of a shallow surface layer overlying a thick metalimnion, typical of small to mediumsized reservoirs with deep outtakes. Basin-scale internal seiches of high vertical mode (ranging from mode V3 toV5) were observed in the metalimnion. The structure of the dominant modes of oscillation changed asstratification evolved on seasonal timescales, but in all cases, their periods were close to that of the local windforcing (i.e., 24 h), suggesting a resonant response. Nonresonant oscillatory modes of type V1 and V2 becamedominant after large frontal events, which disrupted the diurnal periodicity of the wind forcing

Drag force and frictional resistances in vertically vibrated dense granular media

The objective of this thesis is to shed light on the vertical vibration of granular materials for potential interest in the power generation industry. The main focus is investigating the drag force and frictional resistance that influence the movement of a granular material (in the form of glass beads) contained in a vessel, which is subjected to sinusoidal oscillation. The thesis is divided into three parts: theoretical analysis, experiments and computer simulations. The theoretical part of this study presents the underlying physical phenomena of the vibration of granular materials. Experiments are designed to determine fundamental parameters that contribute to the behavior of vibrating granular media. Numerical simulations include the use of three different software applications: FLUENT, LS-DYNA and ANSYS Workbench. The goal of these simulations is to test theoretical and semiempirical models for granular materials in order to validate their compatibility with the experimental findings, to assist in predicting their behavior, and to estimate quantities that are hard to measure in laboratory.

Chaos in resonant-tunneling superlattices

Spatiotemporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due to the motion and recycling of electric field domain walls) have been observed in recent experiments. Chaos is the result of forcing this natural oscillation by means of an appropriate external microwave signal.

Salient Pole Synchronous Machine Modelling in an Industrial Direct Torque Controlled Drive Application

Synchronous motors are used mainly in large drives, for example in ship propulsion systems and in steel factories' rolling mills because of their high efficiency, high overload capacity and good performance in the field weakening range. This, however, requires an extremely good torque control system. A fast torque response and a torque accuracy are basic requirements for such a drive. For large power, high dynamic performance drives the commonly known principle of field oriented vector control has been used solely hitherto, but nowadays it is not the only way to implement such a drive. A new control method Direct Torque Control (DTC) has also emerged. The performance of such a high quality torque control as DTC in dynamically demanding industrial applications is mainly based on the accurate estimate of the various flux linkages' space vectors. Nowadays industrial motor control systems are real time applications with restricted calculation capacity. At the same time the control system requires a simple, fast calculable and reasonably accurate motor model. In this work a method to handle these problems in a Direct Torque Controlled (DTC) salient pole synchronous motor drive is proposed. A motor model which combines the induction law based "voltage model" and motor inductance parameters based "current model" is presented. The voltage model operates as a main model and is calculated at a very fast sampling rate (for example 40 kHz). The stator flux linkage calculated via integration from the stator voltages is corrected using the stator flux linkage computed from the current model. The current model acts as a supervisor that prevents only the motor stator flux linkage from drifting erroneous during longer time intervals. At very low speeds the role of the current model is emphasised but, nevertheless, the voltage model always stays the main model. At higher speeds the function of the current model correction is to act as a stabiliser of the control system. The current model contains a set of inductance parameters which must be known. The validation of the current model in steady state is not self evident. It depends on the accuracy of the saturated value of the inductances. Parameter measurement of the motor model where the supply inverter is used as a measurement signal generator is presented. This so called identification run can be performed prior to delivery or during drive commissioning. A derivation method for the inductance models used for the representation of the saturation effects is proposed. The performance of the electrically excited synchronous motor supplied with the DTC inverter is proven with experimental results. It is shown that it is possible to obtain a good static accuracy of the DTC's torque controller for an electrically excited synchronous motor. The dynamic response is fast and a new operation point is achieved without oscillation. The operation is stable throughout the speed range. The modelling of the magnetising inductance saturation is essential and cross saturation has to be considered as well. The effect of cross saturation is very significant. A DTC inverter can be used as a measuring equipment and the parameters needed for the motor model can be defined by the inverter itself. The main advantage is that the parameters defined are measured in similar magnetic operation conditions and no disagreement between the parameters will exist. The inductance models generated are adequate to meet the requirements of dynamically demanding drives.

Highly eccentric hip-hop solutions of the 2N

We show the existence of families of hip-hop solutions in the equal-mass 2N-body problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular non-harmonic oscillations. By introducing a parameter ϵ, the homographic motion and the small amplitude oscillations can be uncoupled into a purely Keplerian homographic motion of fixed period and a vertical oscillation described by a Hill type equation. Small changes in the eccentricity induce large variations in the period of the perpendicular oscillation and give rise, via a Bolzano argument, to resonant periodic solutions of the uncoupled system in a rotating frame. For small ϵ ≠ 0, the topological transversality persists and Brouwer's fixed point theorem shows the existence of this kind of solutions in the full system

Torrential rainfall in northeast of the Iberian Peninsula: synoptic patterns and WeMO influence

This study presents a catalogue of synoptic patterns of torrential rainfall in northeast of the Iberian Peninsula (IP). These circulation patterns were obtained by applying a T-mode Principal Component Analysis (PCA) to a daily data grid (NCEP/NCAR reanalysis) at sea level pressure (SLP). The analysis made use of 304 days which recorded >100 mm in one or more stations in provinces of Barcelona, Girona and Tarragona (coastland area of Catalonia) throughout the 1950-2005 period. The catalogue comprises 7 circulation patterns showing a great variety of atmospheric conditions and seasonal or monthly distribution. Likewise, we computed the mean index value of the Western Mediterranean Oscillation index (WeMOi) for the synoptic patterns obtained by averaging all days grouped in each pattern. The results showed a clear association between the negative values of this teleconnection index and torrential rainfall in northeast of the IP. We therefore put forward the WeMO as an essential tool for forecasting heavy rainfall in northeast of Spain

Pienitaajuinen radiosekoitin

Normaalisti radiovastaanottimet on luokiteltavissa suoriin vastaanottimiin ja superheterodynevastaanottimiin. Jälkimmäistä nimitetään tavallisesti supervastaanottimeksi. Molemman vastaanottimen oleellisiin osiin kuuluu antennin virityspiiri, supervastaanottimelle lisäksi paikallisoskillaattorin virityspiiri, mikä pitää virittää antennipiirin kanssa samanaikaisesti. Pienillä taajuuksilla, taajuudet luokassa kilo-Hertzejä tai pienemmillä, on antennipiirin viritys resonanssipiirin ominaisuuksista johtuen sitä kapeammalla kaistalla ja sitä hitaampaa mitä pienemmällä taajuudella vastaanotto tapahtuu. Lisäksi virityspiiri hyvyysluku Q on vaikea saada sopivaksi, mikäli viritys on muuten käytännöllinen, säädettävä resonanssipiiri. Vaadittaessa kiinteätaajuista viritystä on käytännöllistä hyödyntää sähkömekaanisia osia, siis keraamisia tai kvartsikiteitä. Koska kiteitten ja korkean hyvyysluvun piirin värähtely jatkuu useita värähtelyjaksoja ennen saapuneitten värähtelyjen sammumista, kestää myös kauan aikaa, ennen kuin värähtely piirissä on loppu. Pienitaajuinen resonanssipiiri saavuttaa maksimivirtansa hitaasti, jos hyvyysluku on iso, kun piiri alkaa johtaa resonanssitaajuista virtaa. Tässä työssä pyritään vastaanotinjärjestelyyn ongelmallisen, pientaajuisen virityspiirin käytön välttämiseksi. Toisena tavoitteena on saada aikaan vastaanotto siten, että tietty pienitaajuinen radiotaajuusalue voidaan kokonaisuudessaan vastaanottaa jatkuva-aikaisesti, ilman antennipiirin jatkuvaa virittämistä erillisille taajuuksille. Laaditaan kytkentä, joka mitoitetaan, simuloidaan ja mitataan.

Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field

We show how certain N-dimensional dynamical systems are able to exploit the full instability capabilities of their fixed points to do Hopf bifurcations and how such a behavior produces complex time evolutions based on the nonlinear combination of the oscillation modes that emerged from these bifurcations. For really different oscillation frequencies, the evolutions describe robust wave form structures, usually periodic, in which selfsimilarity with respect to both the time scale and system dimension is clearly appreciated. For closer frequencies, the evolution signals usually appear irregular but are still based on the repetition of complex wave form structures. The study is developed by considering vector fields with a scalar-valued nonlinear function of a single variable that is a linear combination of the N dynamical variables. In this case, the linear stability analysis can be used to design N-dimensional systems in which the fixed points of a saddle-node pair experience up to N21 Hopf bifurcations with preselected oscillation frequencies. The secondary processes occurring in the phase region where the variety of limit cycles appear may be rather complex and difficult to characterize, but they produce the nonlinear mixing of oscillation modes with relatively generic features