Driving neuromodules into synchronous chaos | Zendy

Frank Pasemann | Zendy

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Driving neuromodules into synchronous chaos

Author(s) -

Frank Pasemann

Publication year - 1999

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-66069-0

DOI - 10.1007/bfb0098194

Subject(s) - quasiperiodic function , attractor , synchronization (alternating current) , asynchronous communication , chaotic , computer science , lyapunov exponent , synchronization of chaos , manifold (fluid mechanics) , chaos (operating system) , stability (learning theory) , topology (electrical circuits) , control theory (sociology) , statistical physics , physics , mathematics , mathematical analysis , artificial intelligence , channel (broadcasting) , telecommunications , mechanical engineering , control (management) , computer security , combinatorics , machine learning , engineering

We discuss the time-discrete parametrized dynamics of two neuromod- ules, which are coupled in a uni-directional way. General conditions for the existence of synchronized dynamics are derived for these systems. It is demonstrated that already the one-way couplings of 2-neuron modules can result in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M. Stability of the synchronized dynamics is calculated by conditional Lyapunov exponents. In addition to synchro- nized attractors there often co-exist asynchronous periodic, quasiperiodic or even chaotic attractors. Simulation results for selected sets of parame- ters are presented.

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