Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons

Changsong ZHOU; Jürgen Kurths

doi:10.1063/1.1493096

Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons

Changsong ZHOU^*, Jürgen Kurths

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

163 Citations (Scopus)

Abstract

We study nontrivial effects of noise on synchronization and coherence of a chaotic Hodgkin-Huxley model of thermally sensitive neurons. We demonstrate that identical neurons which are not coupled but subjected to a common fluctuating input (Gaussian noise) can achieve complete synchronization when the noise amplitude is larger than a threshold. For nonidentical neurons, noise can induce phase synchronization. Noise enhances synchronization of weakly coupled neurons. We also find that noise enhances the coherence of the spike trains. A saddle point embedded in the chaotic attractor is responsible for these nontrivial noise-induced effects. Relevance of our results to biological information processing is discussed.

Original language	English
Pages (from-to)	401-409
Number of pages	9
Journal	Chaos
Volume	13
Issue number	1
DOIs	https://doi.org/10.1063/1.1493096
Publication status	Published - Mar 2003

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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title = "Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons",

abstract = "We study nontrivial effects of noise on synchronization and coherence of a chaotic Hodgkin-Huxley model of thermally sensitive neurons. We demonstrate that identical neurons which are not coupled but subjected to a common fluctuating input (Gaussian noise) can achieve complete synchronization when the noise amplitude is larger than a threshold. For nonidentical neurons, noise can induce phase synchronization. Noise enhances synchronization of weakly coupled neurons. We also find that noise enhances the coherence of the spike trains. A saddle point embedded in the chaotic attractor is responsible for these nontrivial noise-induced effects. Relevance of our results to biological information processing is discussed.",

author = "Changsong ZHOU and J{\"u}rgen Kurths",

note = "This work was supported by Humboldt Foundation and SFB 555. We acknowledge the Max Planck Institut f{\"u}r Physik Komplexer Systeme for support during the Seminar in Control, Communication and Synchronization in Chaotic Dynamical Systems (14 October–23 November, 2001).",

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AU - ZHOU, Changsong

AU - Kurths, Jürgen

N1 - This work was supported by Humboldt Foundation and SFB 555. We acknowledge the Max Planck Institut für Physik Komplexer Systeme for support during the Seminar in Control, Communication and Synchronization in Chaotic Dynamical Systems (14 October–23 November, 2001).

PY - 2003/3

Y1 - 2003/3

N2 - We study nontrivial effects of noise on synchronization and coherence of a chaotic Hodgkin-Huxley model of thermally sensitive neurons. We demonstrate that identical neurons which are not coupled but subjected to a common fluctuating input (Gaussian noise) can achieve complete synchronization when the noise amplitude is larger than a threshold. For nonidentical neurons, noise can induce phase synchronization. Noise enhances synchronization of weakly coupled neurons. We also find that noise enhances the coherence of the spike trains. A saddle point embedded in the chaotic attractor is responsible for these nontrivial noise-induced effects. Relevance of our results to biological information processing is discussed.

AB - We study nontrivial effects of noise on synchronization and coherence of a chaotic Hodgkin-Huxley model of thermally sensitive neurons. We demonstrate that identical neurons which are not coupled but subjected to a common fluctuating input (Gaussian noise) can achieve complete synchronization when the noise amplitude is larger than a threshold. For nonidentical neurons, noise can induce phase synchronization. Noise enhances synchronization of weakly coupled neurons. We also find that noise enhances the coherence of the spike trains. A saddle point embedded in the chaotic attractor is responsible for these nontrivial noise-induced effects. Relevance of our results to biological information processing is discussed.

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JO - Chaos

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Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons

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