modeling

Synchronization is studied in ensembles of locally dissipative coupled and conservative coupled weak-nonlinear van der Pol oscillators. In the chain of N elements not less than 2N¡1 different regimes of global synchronization are stable at the same values of parameters. Cluster synchronization is considered as well. Existing of multiple fronts of synchronization switching is shown. These fronts go one through another without of changing or reflections from free boundaries.

We study synchronization in one- and two-dimentional ensembles of nonidentical Bonhoeffer–van der Pol oscillators. Small chains (number of elements N 6 4) are proved to have not less than 2N¡1 coexisting stable different synchronous regimes. The chain of N elements is supposed to have not less than 2N¡1 synchronous regimes at the same values of parameters. Formation of synchronization clusters at weak coupling is shown. Regimes, provided by existing of waves, setting rhythm for all elements in ensemble, are investigated.

We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluc-tuations-caused intermittency of synchronous regimes without synchronization destruction.

This paper presents the approaches and methods for modeling and analysis of the open human cerebral cortex IR­thermo maps. The main goal of the development is to solve fundamental problems: the selection of reliable informative features, which allow detecting abnormalities of the brain, to classify its types, and to delineate its boundaries. The created analytical tools are also directed to the studying fundamental problems related to the mechanisms of autoregulation and compensation in the brain. The described methods and approaches were tested on the real medical history.