Nonlinear Dynamics of Semiconductor LasersControl and Synchronization of Chaos:

Nonlinear dynamics of laser systems has become an interesting area of research in recent times. Lasers are good examples of nonlinear dissipative systems showing many kinds of nonlinear phenomena such as chaos, multistability and quasiperiodicity. The study of these phenomena in lasers has fundamental scientific importance since the investigations on these effects reveal many interesting features of nonlinear effects in practical systems. Further, the understanding of the instabilities in lasers is helpful in detecting and controlling such effects. Chaos is one of the most interesting phenomena shown by nonlinear deterministic systems. It is found that, like many nonlinear dissipative systems, lasers also show chaos for certain ranges of parameters. Many investigations on laser chaos have been done in the last two decades. The earlier studies in this field were concentrated on the dynamical aspects of laser chaos. However, recent developments in this area mainly belong to the control and synchronization of chaos. A number of attempts have been reported in controlling or suppressing chaos in lasers since lasers are the practical systems aimed to operated in stable or periodic mode. On the other hand, laser chaos has been found to be applicable in high speed secure communication based on synchronization of chaos. Thus, chaos in laser systems has technological importance also. Semiconductor lasers are most applicable in the fields of optical communications among various kinds of laser due to many reasons such as their compactness, reliability modest cost and the opportunity of direct current modulation. They show chaos and other instabilities under various physical conditions such as direct modulation and optical or optoelectronic feedback. It is desirable for semiconductor lasers to have stable and regular operation. Thus, the understanding of chaos and other instabilities in semiconductor lasers and their xi control is highly important in photonics. We address the problem of controlling chaos produced by direct modulation of laser diodes. We consider the delay feedback control methods for this purpose and study their performance using numerical simulation. Besides the control of chaos, control of other nonlinear effects such as quasiperiodicity and bistability using delay feedback methods are also investigated. A number of secure communication schemes based on synchronization of chaos semiconductor lasers have been successfully demonstrated theoretically and experimentally. The current investigations in these field include the study of practical issues on the implementations of such encryption schemes. We theoretically study the issues such as channel delay, phase mismatch and frequency detuning on the synchronization of chaos in directly modulated laser diodes. It would be helpful for designing and implementing chaotic encryption schemes using synchronization of chaos in modulated semiconductor laser

Nonlinear Dynamics of Multiple Quantum Well Lasers: Chaos and Multistability

This thesis presents analytical and numerical results from studies based on the multiple quantum well laser rate equation model. We address the problem of controlling chaos produced by direct modulation of laser diodes. We consider the delay feedback control methods for this purpose and study their performance using numerical simulation. Besides the control of chaos, control of other nonlinear effects such as quasiperiodicity and bistability using delay feedback methods are also investigated.A number of secure communication schemes based on synchronization of chaos semiconductor lasers have been successfully demonstrated theoretically and experimentally. The current investigations in these field include the study of practical issues on the implementations of such encryption schemes. We theoretically study the issues such as channel delay, phase mismatch and frequency detuning on the synchronization of chaos in directly modulated laser diodes. It would be helpful for designing and implementing chaotic encryption schemes using synchronization of chaos in modulated semiconductor lasers.

Rotational analysis of the C1Π-X1 Σ+ system of indium monofluoride

Indium monofluoride was excited in a high-frequency discharge and the C-X system was photographed at a reciprocal dispersion of 0.3 AA mm-1 using a plane-grating spectrograph. Rotational analyses of the 0,0 1,0 2,2 3,3 4,4 2,4 3,5 4,6 and 5,7 bands have been carried out and the following molecular constants have been evaluated. Be'=0.2670(+or-3) cm-1, Be"=0.2628(+or-4) cm-1, alpha e'=0.0050(+or-4) cm-1, alpha e"=0.0020(+or-1) cm-1, De'=3.65(+or-5)*10-7 cm-1, De"=2.5(+or-3)*10-7 cm-1, beta e'=0.5(+or-2)*10-7 cm-1, beta e"=0.2(+or-1)*10-7 cm-1, re'=1.9672(+or-3) AA, re"=1.9853(+or-2) AA. The re" value agrees with the microwave absorption value 1.9854 AA.

Nonlinear Analysis of an Electroencephalogram (ECG) During Epileptic Seizure

A mathematical analysis of an electroencephalogram of a human Brain during an epileptic seizure shows that the K2 entropy decreases as compared to a clinically normal brain while the dimension of the attractor does not show significant deviation.

Entropy of a correlated system of nucleons

Realistic nucleon-nucleon interactions induce correlations to the nuclear many-body system, which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this fragmentation affects the thermodynamical properties of nuclear matter. In particular, we show that the entropy can be computed with the help of a spectral function, which can be evaluated in terms of the self-energy obtained in the self-consistent Green's function approach. Results for the density and temperature dependences of the entropy per particle for symmetric nuclear matter are presented and compared to the results of lowest order finite-temperature Brueckner-Hartree-Fock calculations. The effects of correlations on the calculated entropy are small, if the appropriate quasiparticle approximation is used. The results demonstrate the thermodynamical consistency of the self-consistent T-matrix approximation for the evaluation of the Green's functions.

Spatio-temporal variation of microphytoplankton in the upwelling system of the south-eastern Arabian Sea during the summer monsoon of 2009

The phytoplankton standing crop was assessed in detail along the South Eastern Arabian Sea (SEAS) during the different phases of coastal upwelling in 2009.During phase 1 intense upwelling was observed along the southern transects (8◦N and 8.5◦N). The maximum chlorophyll a concentration (22.7 mg m −3) was observed in the coastal waters off Thiruvananthapuram (8.5◦N). Further north there was no signature of upwelling, with extensive Trichodesmium erythraeum blooms. Diatoms dominated in these upwelling regions with the centric diatom Chaetoceros curvisetus being the dominant species along the 8◦N transect. Along the 8.5◦N transect pennate diatoms like Nitzschia seriata and Pseudo-nitzschia sp. dominated. During phase 2, upwelling of varying intensity was observed throughout the study area with maximum chlorophyll a concentrations along the 9◦N transect (25 mg m−3) with Chaetoceros curvisetus as the dominant phytoplankton. Along the 8.5◦N transect pennate diatoms during phase 1 were replaced by centric diatoms like Chaetoceros sp. The presence of solitary pennate diatoms Amphora sp. and Navicula sp. were significant in the waters off Kochi. Upwelling was waning during phase 3 and was confined to the coastal waters of the southern transects with the highest chlorophyll a concentration of 11.2 mg m−3. Along with diatoms, dinoflagellate cell densities increased in phases 2 and 3. In the northern transects (9◦N and 10◦N) the proportion of dinoflagellates was comparatively higher and was represented mainly by Protoperidinium spp., Ceratium spp. and Dinophysis spp.

Nonlinear Analysis of Shear Dominant Prestressed Concrete Beams using ANSYS

This study reports the details of the finite element analysis of eleven shear critical partially prestressed concrete T-beams having steel fibers over partial or full depth. Prestressed T-beams having a shear span to depth ratio of 2.65 and 1.59 that failed in shear have been analyzed using the ‘ANSYS’ program. The ‘ANSYS’ model accounts for the nonlinearity, such as, bond-slip of longitudinal reinforcement, postcracking tensile stiffness of the concrete, stress transfer across the cracked blocks of the concrete and load sustenance through the bridging action of steel fibers at crack interface. The concrete is modeled using ‘SOLID65’- eight-node brick element, which is capable of simulating the cracking and crushing behavior of brittle materials. The reinforcement such as deformed bars, prestressing wires and steel fibers have been modeled discretely using ‘LINK8’ – 3D spar element. The slip between the reinforcement (rebars, fibers) and the concrete has been modeled using a ‘COMBIN39’- nonlinear spring element connecting the nodes of the ‘LINK8’ element representing the reinforcement and nodes of the ‘SOLID65’ elements representing the concrete. The ‘ANSYS’ model correctly predicted the diagonal tension failure and shear compression failure of prestressed concrete beams observed in the experiment. The capability of the model to capture the critical crack regions, loads and deflections for various types of shear failures in prestressed concrete beam has been illustrated.

Analysis of the circadian system of the cockroach Rhyparobia (Leucophaea) maderae

Biologische Rhythmen bestimmen das gesamte Leben auf der Erde. Dabei scheint der circadiane Rhythmus der bekannteste zu sein, welcher durch eine Periodendauer von etwa (lat. circa) 24 Stunden gekennzeichnet ist. Dieser seit Jahrmillionen täglich stattfindende Wechsel von Hell- und Dunkelphasen führte zur Entwicklung von inneren Uhren in nahezu allen Organismen, welche die Physiologie und das Verhalten steuern. In der Schabe Rhyparobia (Leucophaea) maderae, einem etablierten Modellorganismus der circadianen Rhythmusforschung, konnte die innere Uhr auf die akzessorischen Medulla (AMe) eingegrenzt werden. Da neben klassischen Neurotransmittern auch Neuropeptide unablässig für die Aufrechterhaltung des endogenen Rhythmus oder aber für Synchronisationsprozesse sind, bestand der Hauptfokus der Arbeit in der Analyse einer möglichen Beteiligung des myoinhibitorischen Neuropeptids (MIP) am circadianen System von R. maderae. Mittels MALDI-TOF Massenspektrometrie konnten fünf Rhyparobia-MIPs in Präparationen der AMe identifiziert und zwei vollständig sequenziert werden. Immunzytochemische Analysen zeigten neben einer weiten MIP-Immunreaktivität im Gehirn eine dichte Innervierung der AMe und mit ihr assoziierten Neuronengruppen. Kolokalisation von MIP- und Pigment-dispersing Faktor-Immunreaktivitäten wurden in mindestens zwei circadianen Schrittmacherzellen beobachtet. Immunreaktivitäten in diversen Kommissuren lassen den Schluss zu, dass Rhyparobia-MIPs als Kopplungsfaktoren beider akzessorischen Medullae agieren. Immunzytochemische Kolokalisationsexperimente mit anderen neuroaktiven Kandidaten für den Lichteingangsweg zeigen, dass Rhyparobia-MIPs auch an der Übermittlung photischer Eingänge in die AMe vom ipsi- und kontralateralen Komplexauge beteiligt sein könnten. Darüber hinaus konnte durch Injektionsexperimente kombiniert mit Verhaltensassays gezeigt werden, dass mindestens Rhyparobia-MIP-1 und -2 Eingangssignale in die AMe sind. Des Weiteren konnte mittels enzyme-linked immunosorbent Assays gezeigt werden, dass MIP in der AMe und dem optischen Lobus mindestens über G-Protein gekoppelte Rezeptoren agiert. Diese Rezeptoren scheinen zudem tageszeitabhängig unterschiedlich exprimiert oder aber unterschiedlich sensitiv zu sein.

Assessing the users’ need for a spatial decision support system of smallholder farming in Kenya

Accurate data of the natural conditions and agricultural systems with a good spatial resolution are a key factor to tackle food insecurity in developing countries. A broad variety of approaches exists to achieve precise data and information about agriculture. One system, especially developed for smallholder agriculture in East Africa, is the Farm Management Handbook of Kenya. It was first published in 1982/83 and fully revised in 2012, now containing 7 volumes. The handbooks contain detailed information on climate, soils, suitable crops and soil care based on scientific research results of the last 30 years. The density of facts leads to time consuming extraction of all necessary information. In this study we analyse the user needs and necessary components of a system for decision support for smallholder farming in Kenya based on a geographical information system (GIS). Required data sources were identified, as well as essential functions of the system. We analysed the results of our survey conducted in 2012 and early 2013 among agricultural officers. The monitoring of user needs and the problem of non-adaptability of an agricultural information system on the level of extension officers in Kenya are the central objectives. The outcomes of the survey suggest the establishment of a decision support tool based on already available open source GIS components. The system should include functionalities to show general information for a specific location and should provide precise recommendations about suitable crops and management options to support agricultural guidance on farm level.

A molecular and cellular analysis of the circadian system of the cockroach Rhyparobia (Leucophaea) maderae

Circadiane Schrittmacher koordinieren die täglichen Rhythmen in Physiologie und Verhalten in lebenden Organismen. Die Madeira Schabe Rhyparobia maderae (Synonym: Leucophaea maderae) ist ein gut etabliertes Modell, um die neuronalen Mechanismen der circadianen Rhythmen bei Insekten zu studieren. Die akzessorische Medulla (AME) in den optischen Loben des Gehirns wurde als das circadiane Schrittmacherzentrum der Madeira Schabe identifiziert, das circadiane Rhythmen in der Laufaktivität steuert. Über die Neurotransmitter der Eingangswege in das circadiane System der Madeira Schabe ist noch nicht viel bekannt. Das Hauptziel dieser Arbeit war es, mögliche Eingangssignale in die innere Uhr der Madeira Schabe zu bestimmen. An primären Zellkulturen von AME-Neuronen wurden Calcium-Imaging Experimente durchgeführt, um die Neurotransmitter-abhängigen Veränderungen in der intrazellulären Calcium-Konzentration zu messen. Darüber hinaus wurde die Signalkaskade des Neuropeptids Pigment Dispersing Factor (PDF), dem wichtigsten Kopplungsfaktor in circadianen Schrittmachern von Insekten, in Calcium-Imaging und Förster-Resonanzenergietransfer (FRET) Experimenten untersucht. Acetylcholin (ACh) erhöht die intrazelluläre Calcium-Konzentration in der Mehrzahl der circadianen Schrittmacherneurone der Madeiraschabe. Applikation von GABA, Serotonin und Octopamin erhöhten oder reduzierten die intrazelluläre Calcium-Konzentration in den AME-Neuronen, während Histamin und Glutamat die intrazelluläre Calcium-Konzentration ausschließlich reduzierten. Pharmakologische Experimente zeigten, dass die AME-Neurone ACh über ionotrope nikotinische ACh-Rezeptoren detektierten, während GABA über ionotrope GABAA-Rezeptoren und metabotrope GABAB-Rezeptoren detektiert wurde. Diese Ergebnisse deuten darauf hin, dass die circadiane Aktivität der Schabe durch verschiedene Eingänge, einschließlich ACh, GABA, Glutamat, Histamin, Octopamin und Serotonin, moduliert wird. Bei den FRET Studien wurde ein Proteinkinase A (PKA)-basierter FRET Sensor zur Detektion von cyclischem AMP (cAMP) verwendet. Es wurde gezeigt, dass PDF über Adenylylcyclase-abhängige und -unabhängige Signalwege wirken kann. Zusätzlich wurden Laufrad-Assays durchgeführt, um Phasenverschiebungen im Rhythmus der circadianen Laufaktivität zu detektieren, nachdem der Neurotransmitter Histamin zu verschiedenen circadianen Zeiten injiziert wurde. Histamin-Injektionen durch die Komplexaugen der Schabe ergaben eine biphasische Phasenantwortkurve (phase response curve) mit Phasenverzögerungen in der Laufaktivität am späten subjektiven Tag und am Beginn der subjektiven Nacht und Phasenbeschleunigungen in der späten subjektiven Nacht. Schließlich wurde eine extrazelluläre Ableittechnik an lebenden Schaben etabliert, die gleichzeitige Langzeit-Ableitungen von der AME, des Komplexauges (Elektroretinogramm = ERG), und der Beinmuskulatur (Elektromyogramm = EMG) für mehrere Tage ermöglichte. Diese Methode bietet einen Ausgangspunkt für weitere elektrophysiologische Untersuchungen des circadianen Systems der Schabe, in denen Substanzen (z.B. Neurotransmitter und Neuropeptide) analysiert werden können, die einen Einfluss auf den circadianen Rhythmus in der Laufaktivität haben

An integrated assessment of resource use strategies in the Borana pastoral system of southern Ethiopia

In the pastoral production systems, mobility remains the main technique used to meet livestock’s fodder requirements. Currently, with growing challenges on the pastoral production systems, there is urgent need for an in-depth understanding of how pastoralists continue to manage their grazing resources and how they determine their mobility strategies. This study examined the Borana pastoralists’ regulation of access to grazing resources, mobility practices and cattle reproductive performances in three pastoral zones of Borana region of southern Ethiopia. The central objective of the study was to contribute to the understanding of pastoral land use strategies at a scale relevant to their management. The study applied a multi-scalar methodological approach that allowed zooming in from communal to individual herd level. Through participatory mapping that applied Google Earth image print out as visual aid, the study revealed that the Borana pastoralists conceptualized their grazing areas as distinctive grazing units with names, borders, and specific characteristics. This knowledge enables the herders to communicate the condition of grazing resources among themselves in a precise way which is important in management of livestock mobility. Analysis of grazing area use from the participatory maps showed that the Borana pastoralists apportion their grazing areas into categories that are accessed at different times of the year (temporal use areas). This re-organization is an attempt by the community to cope with the prevailing constraints which results in fodder shortages especially during the dry periods. The re-organization represents a shift in resource use system, as the previous mobility practice across the ecologically varied zones of the rangelands became severely restricted. Grazing itineraries of 91 cattle herds for over 16 months obtained using the seasonal calendar interviews indicated that in the areas with the severest mobility constraints, the herders spent most of their time in the year round use areas that are within close proximity to the settlements. A significant change in mobility strategy was the disallowing of foora practice by the communities in Dirre and Malbe zones in order to reduce competition. With the reduction in mobility practices, there is a general decline in cattle reproductive parameters with the areas experiencing the severest constraints showing the least favourable reproductive performances. The study concludes that the multi-scalar methodology was well suited to zoom into pastoral grazing management practices from communal to individual herd levels. Also the loss of mobility in the Borana pastoral system affects fulfilment of livestock feed requirements thus resulting in reduced reproductive performances and herd growth potentials. While reversal of the conditions of the situations in the Borana rangelands is practically unfeasible, the findings from this research underscore the need to protect the remaining pastoral lands since the pastoral production system remains the most important livelihood option for the majority of the Borana people. In this regards the study emphasises the need to adopt and domesticate regional and international policy frameworks such as that proposed by the African Union in 2010.

The function of SIFamide, PDF, and further neuropeptides in the circadian system of Rhyparobia maderae

Der täglich Wechsel von Hell- und Dunkelphasen führte während der Evolution zur Entwicklung innerer Uhren in nahezu allen Organismen. In der Schabe Rhyparobia maderae lokalisierten Läsions- und Transplantationsexperimente die innere Uhr in der akzessorischen Medulla (AME). Dieses kleine birnenförmige Neuropil am ventromedianen Rand der Medulla ist mit etwa 240 Neuronen assoziiert, die eine hohe Anzahl an zum Teil kolokalisierten Neuropeptiden und Neurotransmittern exprimieren. Diese Signalstoffe scheinen essentiell zu sein für die Synchronisation der inneren Uhr mit der Umwelt, der Kopplung der beiden bilateralen AME, der Aufrechterhaltung des circadianen Rhythmus sowie der zeitlichen Steuerung bestimmter Verhaltensweisen. Während die Funktion einiger dieser neuronalen Botenstoffe bereits gut untersucht ist, fehlt sie für andere. Zudem ist noch ungeklärt, wann einzelne Botenstoffe im circadianen Netzwerk agieren. Im Fokus dieser Studie lag daher die Erforschung der Funktion von SIFamide und Corazonin im circadianen Netzwerk sowie die weitere Untersuchung der Funktionen der Neuropeptide MIP und PDF. Es konnte gezeigt werden, dass SIFamide auch in R. maderae in vier großen neurosekretorischen Zellen in der pars intercerebralis exprimiert wird. Varikosenreiche SIFamide-immureaktive (-ir) Fasern innervieren eine Vielzahl an Neuropilen und finden sich auch in der Hüllregion der AME. Injektionsexperimente resultierten in einer monophasischen Phasen-Antwort-Kurve (PRC) mit einer Verzögerung zur frühen subjektiven Nacht. SIFamide ist also ein Eingangssignal für das circadiane Netzwerk und könnte in der Kontrolle der Schalf/Wach-Homöostase involviert sein. Auch Corazonin fungiert als Eingangssignal. Da die Injektionsexperimente in einer monophasischen PRC mit einem Phasenvorschub zur späten subjektiven Nacht resultierten, ist davon auszugehen, dass die Corazonin-ir AME-Zelle Bestandteil des Morning-Oszillator-Netzwerkes in R. maderae ist. Darüber hinaus zeigten Backfill-Experimente, dass MIP an der Kopplung beider AMAE beteiligt ist. ELISA-Quantifizierungen der PDF-Level im Tagesverlauf ergaben Schwankungen in der Konzentration, die auf eine Ausschüttung des Peptids während des Tages hindeuten – ähnlich wie es in Drosophila melanogaster der Fall ist. Dies spiegelt sich in der vervollständigten bimodalen PDF-PRC wieder. Hier führen Injektionen zu einem Phasenvorschub, bevor maximale Peptidlevel erreicht werden, sowie zu einer Phasenverzögerung, sobald die Peptidlevel wieder zu sinken beginnen. Die PRCs erlauben somit Rückschlüsse auf den Zeitpunkt der maximalen Peptidfreisetzung. PDF-ir Neuriten findet sich zudem in sämtlichen Ganglien des ventralen Strickleiternervensystems, was eine Funktion in der Kontrolle der Prozesse impliziert, die durch die Mustergeneratoren in Thorakal- und Abdominalganglien gesteuert werden.

On Degeneracy of Linear Reconstruction from Three Views: Linear Line Complex and Applications

This paper investigates the linear degeneracies of projective structure estimation from point and line features across three views. We show that the rank of the linear system of equations for recovering the trilinear tensor of three views reduces to 23 (instead of 26) in the case when the scene is a Linear Line Complex (set of lines in space intersecting at a common line) and is 21 when the scene is planar. The LLC situation is only linearly degenerate, and we show that one can obtain a unique solution when the admissibility constraints of the tensor are accounted for. The line configuration described by an LLC, rather than being some obscure case, is in fact quite typical. It includes, as a particular example, the case of a camera moving down a hallway in an office environment or down an urban street. Furthermore, an LLC situation may occur as an artifact such as in direct estimation from spatio-temporal derivatives of image brightness. Therefore, an investigation into degeneracies and their remedy is important also in practice.

Exact Solution of the Nonlinear Dynamics of Recurrent Neural Mechanisms for Direction Selectivity

Different theoretical models have tried to investigate the feasibility of recurrent neural mechanisms for achieving direction selectivity in the visual cortex. The mathematical analysis of such models has been restricted so far to the case of purely linear networks. We present an exact analytical solution of the nonlinear dynamics of a class of direction selective recurrent neural models with threshold nonlinearity. Our mathematical analysis shows that such networks have form-stable stimulus-locked traveling pulse solutions that are appropriate for modeling the responses of direction selective cortical neurons. Our analysis shows also that the stability of such solutions can break down giving raise to a different class of solutions ("lurching activity waves") that are characterized by a specific spatio-temporal periodicity. These solutions cannot arise in models for direction selectivity with purely linear spatio-temporal filtering.

An Immersed Interface Method for the Incompressible Navier-Stokes Equations in Irregular Domains

We present an immersed interface method for the incompressible Navier Stokes equations capable of handling rigid immersed boundaries. The immersed boundary is represented by a set of Lagrangian control points. In order to guarantee that the no-slip condition on the boundary is satisfied, singular forces are applied on the fluid at the immersed boundary. The forces are related to the jumps in pressure and the jumps in the derivatives of both pressure and velocity, and are interpolated using cubic splines. The strength of singular forces is determined by solving a small system of equations at each time step. The Navier-Stokes equations are discretized on a staggered Cartesian grid by a second order accurate projection method for pressure and velocity.