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Title: Observation of a continuous interior crisis in the Hindmarsh-Rose neuron model.
Author: González-Miranda, J. M. (Jesús Manuel)
Keywords: Biofísica
Física mèdica
Física estadística
Sistemes dinàmics diferenciables
Medical physics
Statistical physics
Differentiable dynamical systems
Issue Date: 2003
Publisher: American Institute of Physics
Abstract: 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
Note: Reproducció del document publicat a:
It is part of: Chaos, 2003, vol. 13, núm. 3, p. 845-852
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ISSN: 1054-1500
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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