Coherence Resonance in Noise-Induced Excitable Systems

2008 ◽  
Author(s):  
Zeju Luo ◽  
Lihong Song
Keyword(s):  
Coherence Resonance ◽  
Excitable Systems

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.

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

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

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.

STOCHASTIC SYNCHRONIZATION OF COUPLED COHERENCE RESONANCE OSCILLATORS

2000 ◽  
Vol 10 (11) ◽  
pp. 2541-2550 ◽  
Author(s):  
D. E. POSTNOV ◽  
O. V. SOSNOVTSEVA ◽  
S. K. HAN ◽  
T. G. YIM
Keyword(s):  
Noise Intensity ◽  
Electronic Circuit ◽  
Phase Locking ◽  
Resonance Effect ◽  
Firing Process ◽  
Coherence Resonance ◽  
Excitable System ◽  
Excitable Systems ◽  
Resonance Oscillator ◽  
Stochastic Oscillations

The effect of coherence resonance can change the firing process in noise-driven excitable systems towards rather regular dynamics. This effect provides a mechanism of the generation of stochastic oscillations whose characteristics are controlled by noise intensity. Following this, a noisy excitable system can be considered as a corehence resonance oscillator. For such functional units, we investigate the mutual and forced synchronization in terms of locking of the peak frequencies in the power spectrum and also in terms of phase locking. The connection of synchronization phenomenon of noise-induced oscillations and coherence resonance effect is discussed. The examples, studied numerically and experimentally, include Morris–Lecar neuron model and a monovibrator electronic circuit, respectively.

Fluorescent potentiometric dyes for membrane-potential imaging

1994 ◽  
Vol 52 ◽  
pp. 166-167
Author(s):  
Leslie M. Loew
Keyword(s):  
Membrane Potential ◽  
Single Cells ◽  
Quantitative Imaging ◽  
Optical Recording ◽  
Biological Processes ◽  
Major Focus ◽  
The Past ◽  
Excitable Systems ◽  
Major Application ◽  
The Impact

A major application of potentiometric dyes has been the multisite optical recording of electrical activity in excitable systems. After being championed by L.B. Cohen and his colleagues for the past 20 years, the impact of this technology is rapidly being felt and is spreading to an increasing number of neuroscience laboratories. A second class of experiments involves using dyes to image membrane potential distributions in single cells by digital imaging microscopy - a major focus of this lab. These studies usually do not require the temporal resolution of multisite optical recording, being primarily focussed on slow cell biological processes, and therefore can achieve much higher spatial resolution. We have developed 2 methods for quantitative imaging of membrane potential. One method uses dual wavelength imaging of membrane-staining dyes and the other uses quantitative 3D imaging of a fluorescent lipophilic cation; the dyes used in each case were synthesized for this purpose in this laboratory.

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