Experimental observation of coherence resonance in cascaded excitable systems

1999 ◽  
Vol 59 (4) ◽  
pp. R3791-R3794 ◽  
Author(s):  
D. E. Postnov ◽  
Seung Kee Han ◽  
Tae Gyu Yim ◽  
O. V. Sosnovtseva
Keyword(s):  
Experimental Observation ◽  
Coherence Resonance ◽  
Excitable Systems

Double cavity feedback and experimental observation of coherence resonance

2008 ◽  
Author(s):  
Krassimir Panajotov ◽  
Mikel Arizaleta Arteaga ◽  
Miguel Valencia ◽  
Marc Sciamanna ◽  
Manuel Lopez-Amo ◽  
...  
Keyword(s):  
Experimental Observation ◽  
Coherence Resonance

Coherence resonance induced by cross-correlated sine-Wiener noises in the FitzHugh–Nagumo neurons

2017 ◽  
Vol 31 (28) ◽  
pp. 1750204 ◽  
Author(s):  
Yuangen Yao ◽  
Ming Yi ◽  
Dejia Hou
Keyword(s):  
Correlation Time ◽  
Parameter Range ◽  
Coherence Resonance ◽  
Correlation Times ◽  
Excitable Systems

We study coherence resonance (CR) in the FitzHugh–Nagumo (FHN) neurons under cross-correlated sine-Wiener (CCSW) noises. It is numerically demonstrated that the reciprocal coefficient of variance of inter-spike intervals (R) increases with increasing amplitude or correlation time of CCSW noises, reaches the maximum at proper amplitude or correlation time, and then decreases, suggesting the appearance of CR phenomenon. In addition, the occurrence of CR is sensitive to a parameter range of amplitudes and correlation times of CCSW noises. Thus, CR can be controlled by regulating the amplitudes and correlation times of CCSW noises in the FHN excitable systems.

scholarly journals Modulating coherence resonance in non-excitable systems by time-delayed feedback

2014 ◽  
Vol 87 (12) ◽  
Author(s):  
Paul M. Geffert ◽  
Anna Zakharova ◽  
Andrea Vüllings ◽  
Wolfram Just ◽  
Eckehard Schöll
Keyword(s):  
Delayed Feedback ◽  
Coherence Resonance ◽  
Excitable Systems ◽  
Time Delayed Feedback

Experimental observation of the stochastic bursting caused by coherence resonance in a neural pacemaker

Neuroreport ◽  
2002 ◽  
Vol 13 (13) ◽  
pp. 1657-1660 ◽  
Author(s):  
Huaguang Gu ◽  
Minghao Yang ◽  
Li Li ◽  
Zhiqiang Liu ◽  
Wei Ren
Keyword(s):  
Experimental Observation ◽  
Coherence Resonance

COHERENCE RESONANCE: ON THE USE AND ABUSE OF THE FANO FACTOR

2002 ◽  
Vol 02 (03) ◽  
pp. L139-L146 ◽  
Author(s):  
J. W. SHUAI ◽  
S. ZENG ◽  
P. JUNG
Keyword(s):  
Standard Deviation ◽  
Noise Level ◽  
Fano Factor ◽  
Time Interval ◽  
Coherence Resonance ◽  
Sufficient Criterion ◽  
Time Intervals ◽  
Excitable Systems

Coherence resonance describes a phenomenon in excitable systems in which a suitable dose of noise generates excitation-events that maximizes its periodicity or coherence. The Fano-factor, defined as the ratio of the standard deviation of the time-intervals between successive events and the average time interval, exhibits a minimum at this optimal noise level. It is shown here that a decreasing Fano factor is a necessary but not a sufficient criterion to indicate enhanced coherence of a signal.

Coherence resonance in a chemical excitable system driven by coloured noise

2007 ◽  
Vol 366 (1864) ◽  
pp. 381-395 ◽  
Author(s):  
Valentina Beato ◽  
Irene Sendiña-Nadal ◽  
Ingeborg Gerdes ◽  
Harald Engel
Keyword(s):  
Correlation Time ◽  
Temporal Correlation ◽  
External Noise ◽  
Characteristic Time Scale ◽  
Noise Variance ◽  
Coherence Resonance ◽  
Uhlenbeck Process ◽  
Excitable Systems ◽  
Oregonator Model ◽  
Belousov Zhabotinsky Reaction

We investigate how the temporal correlation in excitable systems driven by external noise affects the coherence of the system's response. The coupling to the fluctuating environment is introduced via fluctuations of a bifurcation parameter that controls the local dynamics of the light-sensitive Belousov–Zhabotinsky reaction and of its numerical description, the Oregonator model. Both systems are brought from a highly incoherent regime to a coherent one by an appropriate choice of the correlation time and keeping noise variance constant. This effect has been found both for an Ornstein–Uhlenbeck process and for a dichotomous telegraph signal. In the latter case, we are able to connect the optimal correlation time, for which the system behaviour is most coherent, with a characteristic time scale of the system.

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