Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons

Details Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons

2004-10-19

arxiv.org/abs/nlin/0410032v1

Nonlinear Sciences

Chaotic Dynamics

To be published in CHAOS

Scientific paper

10.1063/1.1821691

The dynamics of two coupled piece-wise linear one-dimensional monostable maps is investigated. The single map is associated with Poincare section of the FitzHugh-Nagumo neuron model. It is found that a diffusive coupling leads to the appearance of chaotic attractor. The attractor exists in an invariant region of phase space bounded by the manifolds of the saddle fixed point and the saddle periodic point. The oscillations from the chaotic attractor have a spike-burst shape with anti-phase synchronized spiking.

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