Driving neuromodules into synchronous chaos

Frank Pasemann

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Submission date: 23. Mar. 1999
Pages: 11
published in: Foundations and tools for neural modeling / J. Mira ... (eds.)
Berlin : Springer, 1999. - P. 377 - 384
(Lecture notes in computer science ; 1606) 
DOI number (of the published article): 10.1007/BFb0098194
Bibtex
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Abstract:
We discuss the time-discrete parametrized dynamics of two neuromodules, 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 synchronized attractors there often co-exist asynchronous periodic, quasiperiodic or even chaotic attractors.

Simulation results for selected sets of parameters are presented.