Amplifier similariton fiber laser with nonlinear spectral compression

We propose a new concept of a fiber laser architecture supporting self-similar pulse evolution in the amplifier and nonlinear spectral pulse compression in the passive fiber. The latter process allows for transform-limited picosecond pulse generation, and improves the laser’s power efficiency by preventing strong spectral filtering from being highly dissipative. Aside from laser technology, the proposed scheme opens new possibilities for studying nonlinear dynamical processes. As an example, we demonstrate a clear period-doubling route to chaos in such a nonlinear laser system.

Probabilistic synchronisation of pinning control

This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic models of the network are assumed to be unknown therefore estimated to be dependent on the connectivity strength, the state and control values. Robustness of the probabilistic controller is proved via the Liapunov method. Furthermore, based on the residual error of the network states we introduce the definition of stochastic pinning controllability. A coupled map lattice with spatiotemporal chaos is taken as an example to illustrate all theoretical developments. The theoretical derivation is complemented by its validation on two representative examples.

Classification of Biomedical Signals using the Dynamics of the False Nearest Neighbours (DFNN) Algorithm

* This study was supported in part by the Natural Sciences and Engineering Research Council of Canada, and by the Gastrointestinal Motility Laboratory (University of Alberta Hospitals) in Edmonton, Alberta, Canada.

Simultaneous Control of Chaotic Systems Using RBF Networks

Chaos control is a concept that recently acquiring more attention among the research community, concerning the fields of engineering, physics, chemistry, biology and mathematic. This paper presents a method to simultaneous control of deterministic chaos in several nonlinear dynamical systems. A radial basis function networks (RBFNs) has been used to control chaotic trajectories in the equilibrium points. Such neural network improves results, avoiding those problems that appear in other control methods, being also efficient dealing with a relatively small random dynamical noise.

Soliton radiation beat analysis of optical pulses generated from two continuous-wave lasers

We propose a fibre-based approach for generation of optical frequency combs (OFCs) with the aim of calibration of astronomical spectrographs in the low and medium-resolution range. This approach includes two steps: in the first step, an appropriate state of optical pulses is generated and subsequently moulded in the second step delivering the desired OFC. More precisely, the first step is realised by injection of two continuous-wave (CW) lasers into a conventional single-mode fibre, whereas the second step generates a broad OFC by using the optical solitons generated in step one as initial condition. We investigate the conversion of a bichromatic input wave produced by two initial CW lasers into a train of optical solitons, which happens in the fibre used as step one. Especially, we are interested in the soliton content of the pulses created in this fibre. For that, we study different initial conditions (a single cosine-hump, an Akhmediev breather, and a deeply modulated bichromatic wave) by means of soliton radiation beat analysis and compare the results to draw conclusion about the soliton content of the state generated in the first step. In case of a deeply modulated bichromatic wave, we observed the formation of a collective soliton crystal for low input powers and the appearance of separated solitons for high input powers. An intermediate state showing the features of both, the soliton crystal and the separated solitons, turned out to be most suitable for the generation of OFC for the purpose of calibration of astronomical spectrographs.

Towards probabilistic synchronization of local controllers

The traditional use of global and centralised control methods, fails for large, complex, noisy and highly connected systems, which typify many real world industrial and commercial systems. This paper provides an efficient bottom up design of distributed control in which many simple components communicate and cooperate to achieve a joint system goal. Each component acts individually so as to maximise personal utility whilst obtaining probabilistic information on the global system merely through local message-passing. This leads to an implied scalable and collective control strategy for complex dynamical systems, without the problems of global centralised control. Robustness is addressed by employing a fully probabilistic design, which can cope with inherent uncertainties, can be implemented adaptively and opens a systematic rich way to information sharing. This paper opens the foreseen direction and inspects the proposed design on a linearised version of coupled map lattice with spatiotemporal chaos. A version close to linear quadratic design gives an initial insight into possible behaviours of such networks.

Convection induced by instabilities in the presence of a transverse seepage

The transition of laterally heated flows in a vertical layer and in the presence of a streamwise pressure gradient is examined numerically for the case of different values Prandtl number. The stability analysis of the basic flow for the pure hydrodynamic case ( Pr = 0 ) was reported in [1]. We find that in the absence of transverse pumping the previously known critical parameters are recovered [2], while as the strength of the Poiseuille flow component is increased the convective motion is delayed considerably. Following the linear stability analysis for the vertical channel flow our attention is focused on a study of the finite am- plitude secondary travelling-wave (TW) solutions that develop from the perturbations of the transverse roll type imposed on the basic flow and temperature profiles. The linear stability of the secondary TWs against three-dimensional perturbations is also examined and it is shown that the bifurcating tertiary flows are phase-locked to the secondary TWs.

Nemlineáris dinamika klasszikus növekedési modellekben (Nonlinear dynamics in classical economic growth models)

Ebben a tanulmányban a klasszikus Harrod növekedési modellt nemlineáris kiterjesztéssel, keynesi és schumpeteri tradíciók bevezetésével reprezentatív ügynök modellbe alakítjuk. A híres Lucas kritika igazolásaként megmutatjuk, hogy az intrinsic gazdasági növekedési ütemek trajektóriái vagy egy turbulens káoszba szóródnak szét, vagy egy nagyméretű rendhez vezetnek, ami elsődlegesen a megfelelő fogyasztási függvény típusától függ, s bizonyos paraméterek piaci értékei, pedig csak másodlagos szerepet játszanak. A másik meglepő eredmény empirikus, ami szerint külkereskedelmi többlet, a hazai valuta bizonyos devizapiaci értékei mellett, különös attraktorokat generálhat. _____ In this paper the classical Harrodian growth model is transformed into a representative agent model by its nonlinear extensions and the Keynesian and Schumpeterian traditions. For the proof of the celebrated Lucas critique it is shown that the trajectories of intrinsic economic growth rates either are scattered into a turbulent chaos or lead to a large scale order. It depends on the type of the appropriate consumption function, and the market values of some parameters are playing only secondary role.Another surprising result is empirical: the international trade su±cit may generate strange attractors under some exchange rate values.

Improving the predictability of time series by chaotic parameter estimation

Limited literature regarding parameter estimation of dynamic systems has been identified as the central-most reason for not having parametric bounds in chaotic time series. However, literature suggests that a chaotic system displays a sensitive dependence on initial conditions, and our study reveals that the behavior of chaotic system: is also sensitive to changes in parameter values. Therefore, parameter estimation technique could make it possible to establish parametric bounds on a nonlinear dynamic system underlying a given time series, which in turn can improve predictability. By extracting the relationship between parametric bounds and predictability, we implemented chaos-based models for improving prediction in time series. ^ This study describes work done to establish bounds on a set of unknown parameters. Our research results reveal that by establishing parametric bounds, it is possible to improve the predictability of any time series, although the dynamics or the mathematical model of that series is not known apriori. In our attempt to improve the predictability of various time series, we have established the bounds for a set of unknown parameters. These are: (i) the embedding dimension to unfold a set of observation in the phase space, (ii) the time delay to use for a series, (iii) the number of neighborhood points to use for avoiding detection of false neighborhood and, (iv) the local polynomial to build numerical interpolation functions from one region to another. Using these bounds, we are able to get better predictability in chaotic time series than previously reported. In addition, the developments of this dissertation can establish a theoretical framework to investigate predictability in time series from the system-dynamics point of view. ^ In closing, our procedure significantly reduces the computer resource usage, as the search method is refined and efficient. Finally, the uniqueness of our method lies in its ability to extract chaotic dynamics inherent in non-linear time series by observing its values. ^

Análise comparativa da imunoexpressão do IMP-3 e Ki-67 em queilites actínicas e carcinoma epidermóide de lábio inferior

Epithelial changes observed in actinic cheilitis (AC) and squamous cell carcinoma of the lower lip (LLSCC) are mainly caused by chronic exposure to ultraviolet rays (UV) and are studied using different immunohistochemical markers trying to evaluate the process of carcinogenesis. The objective of this study was to comparatively evaluate the expression of Ki-67 proteins and IMP-3 in AC and LLSCC to contribute with additional information on carcinogenesis in lower lip. A total of 33 cases of AC and 33 cases of LLSCC were studied, analyzed the clinical and pathological features and immunostaining of Ki-67 and IMP-3. Immunohistochemical analysis of Ki-67 was made through the determination of the proliferation index (PI) and subsequent classification of the cases according to the scores: 0 (0% positive cells) +1 (≤30%) + 2 (> 30% and ≤60%) and +3 (> 60%). For statistical tests cases were classified as unmarked (score 0), low expression (score +1) and high expression (scores +2 and +3). For the expression of IMP-3, the percentage of immunostained epithelial cells was established, and assigned scores: 0 (corresponding to 0%), +1 (up to 30% of positive cells); +2 (From 30% to 60% of immunostained cells) and +3 (over 60% of positive cells). Statistical tests chi-square test, Mann-Whitney and Wilcoxon were used. The significance level was 5%. Most AC chaos was male (78.8%) with mean age of 50 years and cases of LLSCC also were male (69.89%) with an average of 62 years. The Ki-67 was expressed in all cases of AC and in cases of LLSCC, predominantly in the two injuries the score 2, corresponding to 81.8% of cases in ACs and 54.5% in the CELI. The expression of IMP-3 in ACs occurred in 72.7% of cases, predominantly in 36.3% of LLSCC cases score 1. Already in the IMP-3 was expressed in 60.6% of cases, especially in 27.3% of the score of the cases 3. These results allow us to conclude that the expression of IMP3 and proliferative activity are early events in carcinogenesis independently lower lip state of change.

O ator na rua: uma expressividade caótica

Ce travail a recherché sur le processus de préparation corporel\vocal\énergique de l’acteur pour la rue. Notre quête principale c’est comprendre les processus qui l'acteur se déplace afin de développer une énergie à la scène dans la rue. C'est cette énergie qui est mis en place et se rapporte à le passant\spectateur? Qui attire l'attention de passant\spectateur? Serai l'histoire? Le code vestimentaire ou être une expressivité dynamisée? Serai une énergie présente dans le corps de l'acteur qui se relacione avec les passants? Comme l'acteur se rapporte à l'espace urbain? Pour tenter de répondre à ces questions, nous allons utilisé certains principes de la physique moderne, tels comme: la Théorie Quantique et le Principe d'Incertitude, autan la Théorie du Chaos. Le théâtre jouée dans les rues, surtout par le biais de longs prolongements de construction scénique, cependant, lorsque présentée au public, est prise par les autres causalités, car étant situé sur la rue, l'acteur devient assujettie à cet espace et ne peut pas nier la possibilité des faits qui peuvent se produire. Selon la physique quantique l'énergie se propage dans un espace vide, la quantité d'énergie physique étant échangé dans la rue, ce qui entraîne le moment magique où les corps des acteurs, des échanges constants avec les spectateurs, en permettant le saut quantique: le spectacle théâtral de la rue.

Biodiversity context of selected samples from the Tara Oceans Expedition (2009-2013)

The present data set provides contextual data for samples from the Tara Oceans Expedition (2009-2013) that were selected for publication in a special issue of the SCIENCE journal (see related references below). Contextual data include various diversity indexes calculated for the sampling location using satellite and model climatologies (Darwin project, Physat) and results from the sequencing of Tara Oceans samples.

Parameter space of experimental chaotic circuits with high-precision control parameters

The authors thank Professor Iber^e Luiz Caldas for the suggestions and encouragement. The authors F.F.G.d.S., R.M.R., J.C.S., and H.A.A. acknowledge the Brazilian agency CNPq and state agencies FAPEMIG, FAPESP, and FAPESC, and M.S.B. also acknowledges the EPSRC Grant Ref. No. EP/I032606/1.

A Chaotic Spread Spectrum System for Underwater Acoustic Communication

The work is supported in part by NSFC (Grant no. 61172070), IRT of Shaanxi Province (2013KCT-04), EPSRC (Grant no.Ep/1032606/1).

The effect of randomness for dependency map on the robustness of interdependent lattices

ACKNOWLEDGMENTS This paper is supported by the National Natural Science Foundation of China (Grant Nos. 61573067 and 61472045), the Beijing Higher Education Young Elite Teacher Project (Grant No. YETP0449), the Asia Foresight Program under NSFC Grant (Grant No. 61411146001), and the Beijing Natural Science Foundation (Grant No. 4142016).