Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons

Daihai He; G. Hu; M. Zhan; H. P. Lu

doi:10.1016/S0167-2789(01)00290-1

Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons

Daihai He
, G. Hu
, M. Zhan
, H. P. Lu

Research output: Journal article publication › Journal article › Academic research › peer-review

19 Citations (Scopus)

Abstract

Periodic states with functional phase relation are found for extremely weak coupling in the coupled Hindmarsh-Rose (HR) neurons model and the coupled Pikovsky circuit model where all oscillators take a same orbit while the phases of different oscillators have functional relation. By analyzing a periodically forced chaotic neuron, the phase distribution of various oscillators of the coupled HR neurons system is obtained. The response curves of phase distribution correspond to different spike lock. For the Pikovsky circuit model, similar phase distribution is also obtained.

Original language	English
Pages (from-to)	314-324
Number of pages	11
Journal	Physica D: Nonlinear Phenomena
Volume	156
Issue number	3-4
DOIs	https://doi.org/10.1016/S0167-2789(01)00290-1
Publication status	Published - 15 Aug 2001
Externally published	Yes

Keywords

Functional phase period state
Hindmarsh-Rose neurons
Pikovsky circuit

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

More information

10.1016/S0167-2789(01)00290-1

Cite this

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title = "Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons",

abstract = "Periodic states with functional phase relation are found for extremely weak coupling in the coupled Hindmarsh-Rose (HR) neurons model and the coupled Pikovsky circuit model where all oscillators take a same orbit while the phases of different oscillators have functional relation. By analyzing a periodically forced chaotic neuron, the phase distribution of various oscillators of the coupled HR neurons system is obtained. The response curves of phase distribution correspond to different spike lock. For the Pikovsky circuit model, similar phase distribution is also obtained.",

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author = "Daihai He and G. Hu and M. Zhan and Lu, \{H. P.\}",

year = "2001",

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T1 - Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons

AU - He, Daihai

AU - Hu, G.

AU - Zhan, M.

AU - Lu, H. P.

PY - 2001/8/15

Y1 - 2001/8/15

N2 - Periodic states with functional phase relation are found for extremely weak coupling in the coupled Hindmarsh-Rose (HR) neurons model and the coupled Pikovsky circuit model where all oscillators take a same orbit while the phases of different oscillators have functional relation. By analyzing a periodically forced chaotic neuron, the phase distribution of various oscillators of the coupled HR neurons system is obtained. The response curves of phase distribution correspond to different spike lock. For the Pikovsky circuit model, similar phase distribution is also obtained.

AB - Periodic states with functional phase relation are found for extremely weak coupling in the coupled Hindmarsh-Rose (HR) neurons model and the coupled Pikovsky circuit model where all oscillators take a same orbit while the phases of different oscillators have functional relation. By analyzing a periodically forced chaotic neuron, the phase distribution of various oscillators of the coupled HR neurons system is obtained. The response curves of phase distribution correspond to different spike lock. For the Pikovsky circuit model, similar phase distribution is also obtained.

KW - Functional phase period state

KW - Hindmarsh-Rose neurons

KW - Pikovsky circuit

UR - https://www.scopus.com/pages/publications/0035882677

U2 - 10.1016/S0167-2789(01)00290-1

DO - 10.1016/S0167-2789(01)00290-1

M3 - Journal article

SN - 0167-2789

VL - 156

SP - 314

EP - 324

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3-4

ER -

Periodic states with functional phase relation in weakly coupled chaotic Hindmarsh-Rose neurons

Abstract

Keywords

ASJC Scopus subject areas

More information

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