1997
DOI: 10.1142/s0218127497000674
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Chaotic Bursting Behavior of Coupled Neural Oscillators

Abstract: Recently it was shown that dephasing of diffusively coupled neural oscillators leads to a new class of bursting phenomena, where neural oscillators switch between high and low oscillation amplitudes. To analyze this behavior we study a system of three-coupled neurons, which is the most simple one that shows chaotic bursting behavior. For the intermediate values of coupling constant kc, the chaotic bursting behavior occurs. For a quantitative analysis of chaotic bursting, we introduce three mean activities of … Show more

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Cited by 8 publications
(3 citation statements)
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“…Although the single neuron without the external force has only one equilibrium point, combining these n (n 2 3) neurons unidirectionally in a ring, n-phase periodic solutions are generated. Applying the impulsive forces, successive period-doubling bifurcations of the n-phase solution occur and chaotic states, namely n-phase chaos, appear.…”
Section: Hiroshi Kawakamimentioning
confidence: 99%
See 1 more Smart Citation
“…Although the single neuron without the external force has only one equilibrium point, combining these n (n 2 3) neurons unidirectionally in a ring, n-phase periodic solutions are generated. Applying the impulsive forces, successive period-doubling bifurcations of the n-phase solution occur and chaotic states, namely n-phase chaos, appear.…”
Section: Hiroshi Kawakamimentioning
confidence: 99%
“…Among such firing patterns, synchronous firing of neurons in connection with neuronal signal processing has attracted much interest [3,4]. It is important to consider global dynamics of networks composed of nonlinear neurons in order to clarify not only mechanisms of synchronous firing of neurons but also its functional roles [5].…”
Section: Introductionmentioning
confidence: 99%
“…A mong such fi ring patterns, synchronous firing of neu rons in connection with neuronal signal processing has attracted much interest [4,5). It is important to con sider global dynamics of networks composed of non linear neurons in order to clarify not only mechanisms of synchronous firing of neurons but also its functional roles.…”
Section: Introductionmentioning
confidence: 99%