Synchronization of two coupled Hindmarsh-Rose neurons

Ke Ding; Qing-Long Han

Kybernetika (2015)

  • Volume: 51, Issue: 5, page 784-799
  • ISSN: 0023-5954

Abstract

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This paper is concerned with synchronization of two coupled Hind-marsh-Rose (HR) neurons. Two synchronization criteria are derived by using nonlinear feedback control and linear feedback control, respectively. A synchronization criterion for FitzHugh-Nagumo (FHN) neurons is derived as the application of control method of this paper. Compared with some existing synchronization results for chaotic systems, the contribution of this paper is that feedback gains are only dependent on system parameters, rather than dependent on the norm bounds of state variables of uncontrolled and controlled HR neurons. The effectiveness of our results are demonstrated by two simulation examples.

How to cite

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Ding, Ke, and Han, Qing-Long. "Synchronization of two coupled Hindmarsh-Rose neurons." Kybernetika 51.5 (2015): 784-799. <http://eudml.org/doc/276047>.

@article{Ding2015,
abstract = {This paper is concerned with synchronization of two coupled Hind-marsh-Rose (HR) neurons. Two synchronization criteria are derived by using nonlinear feedback control and linear feedback control, respectively. A synchronization criterion for FitzHugh-Nagumo (FHN) neurons is derived as the application of control method of this paper. Compared with some existing synchronization results for chaotic systems, the contribution of this paper is that feedback gains are only dependent on system parameters, rather than dependent on the norm bounds of state variables of uncontrolled and controlled HR neurons. The effectiveness of our results are demonstrated by two simulation examples.},
author = {Ding, Ke, Han, Qing-Long},
journal = {Kybernetika},
keywords = {coupled neurons; Hindmarsh–Rose neurons; synchronization; feedback control},
language = {eng},
number = {5},
pages = {784-799},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Synchronization of two coupled Hindmarsh-Rose neurons},
url = {http://eudml.org/doc/276047},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Ding, Ke
AU - Han, Qing-Long
TI - Synchronization of two coupled Hindmarsh-Rose neurons
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 5
SP - 784
EP - 799
AB - This paper is concerned with synchronization of two coupled Hind-marsh-Rose (HR) neurons. Two synchronization criteria are derived by using nonlinear feedback control and linear feedback control, respectively. A synchronization criterion for FitzHugh-Nagumo (FHN) neurons is derived as the application of control method of this paper. Compared with some existing synchronization results for chaotic systems, the contribution of this paper is that feedback gains are only dependent on system parameters, rather than dependent on the norm bounds of state variables of uncontrolled and controlled HR neurons. The effectiveness of our results are demonstrated by two simulation examples.
LA - eng
KW - coupled neurons; Hindmarsh–Rose neurons; synchronization; feedback control
UR - http://eudml.org/doc/276047
ER -

References

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