Observation of a continuous interior crisis in the Hindmarsh-Rose neuron model

被引:73
作者
González-Miranda, JM [1 ]
机构
[1] Univ Barcelona, Dept Fis Fundamental, E-08028 Barcelona, Spain
关键词
D O I
10.1063/1.1594851
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Interior crises are understood as discontinuous changes of the size of a chaotic attractor that occur when an unstable periodic orbit collides with the chaotic attractor. We present here numerical evidence and theoretical reasoning which prove the existence of a chaos-chaos transition in which the change of the attractor size is sudden but continuous. This occurs in the Hindmarsh-Rose model of a neuron, at the transition point between the bursting and spiking dynamics, which are two different dynamic behaviors that this system is able to present. Moreover, besides the change in attractor size, other significant properties of the system undergoing the transitions do change in a relevant qualitative way. The mechanism for such transition is understood in terms of a simple one-dimensional map whose dynamics undergoes a crossover between two different universal behaviors. (C) 2003 American Institute of Physics.
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收藏
页码:845 / 852
页数:8
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