Loss of coherence in dynamical networks: spatial chaos and chimera states

We discuss the breakdown of spatial coherence in networks of coupled oscillators with nonlocal interaction. By systematically analyzing the dependence of the spatio-temporal dynamics on the range and strength of coupling, we uncover a dynamical bifurcation scenario for the coherence-incoherence transition which starts with the appearance of narrow layers of incoherence occupying eventually the whole space. Our findings for coupled chaotic and periodic maps as well as for time-continuous R\"ossler systems reveal that intermediate, partially coherent states represent characteristic spatio-temporal patterns at the transition from coherence to incoherence.Comment: 4 pages, 4 figure

Некоторые вопросы взаимодействия случайных некоррелированных помех и сигнала в системе передачи информации

Показано, що для оцінки взаємодії сигналу з перешкодами систему можна уявити в вигляді еквівалентної схеми з джерелом сигналу і каскадно включеними колами навантаження, конфігурація якої залежить від характеристик сигналу і перешкод та їх взаємодії: адитивної, мультиплікативної або змішаної. Приведену методику можна використати для аналізу впливу випадкової похибки вимірювання.It is shown that for estimation of the interaction of the signal with hindrance system possible to present in the manner of equivalent scheme with the source of the signal and cascade included chain of the load, which deskside depends on features of the signal and hindrances, as well as their interactions: additive, multiplicative or mixed. The methods possible to use for analysis of the influence to casual inaccuracy of the measurement are broughted.Показано, что для оценки взаимодействия сигнала с помехой систему можно представить в виде эквивалентной схемы с источником сигнала и каскадно включенными цепями нагрузки, конфигурация которой зависит от характеристик сигнала и помех, а также их взаимодействия: аддитивного, мультипликативного или смешанного. Приведенную методику можно использовать для анализа влияния случайной погрешности измерения

Base system development results of virtual electric-machine laboratory

Electric-machine virtual laboratory base system is the set of virtual laboratories where fundamental experiments with all base types of electric machines (transformers, direct current electric machines and asynchronous alternative current machines) could be produced. Virtual laboratory is developed based on modified classical mathematical models of electric machines and technology of virtual realit

APPLICATION OF UKRAINIAN GRID INFRASTRUCTURE FOR INVESTIGATION OF NONLINEAR DYNAMICS IN LARGE NEURONAL NETWORKS

     In present work the Ukrainian National Grid (UNG) infrastructure was applied for investigation of synchronization in large networks of interacting neurons. This application is important for solving of modern neuroscience problems related to mechanisms of nervous system activities (memory, cognition etc.) and nervous pathologies (epilepsy, Parkinsonism, etc.). Modern non-linear dynamics theories and applications provides powerful basis for computer simulations of biological neuronal networks and investigation of phenomena which mechanisms hardly could be clarified by other approaches. Cubic millimeter of brain tissue contains about 105 neurons, so realistic (Hodgkin-Huxley model) and phenomenological (Kuramoto-Sakaguchi, FitzHugh-Nagumo, etc. models) simulations require consideration of large neurons numbers