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.

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.

COHERENCE RESONANCE PHENOMENA IN AN EXCITABLE SYSTEM DRIVEN BY COLORED NOISE

2006 ◽  
Vol 06 (01) ◽  
pp. L85-L94 ◽  
Author(s):  
V. BEATO ◽  
H. ENGEL
Keyword(s):  
Correlation Length ◽  
Correlation Time ◽  
Colored Noise ◽  
Coherence Resonance ◽  
Stochastic Field ◽  
Bz Reaction ◽  
Excitable System ◽  
Spatially Extended ◽  
Spatio Temporal ◽  
Oregonator Model

We study the coherence of noise-induced excitations in a modified stochastic Oregonator model for the light-sensitive Belousov-Zhabotinsky (BZ) reaction assuming that the intensity of the applied illumination is a spatio-temporal stochastic field with finite correlation time and correlation length. For a single excitable element, we find coherence resonance (CR) with respect to the correlation time. In the spatially extended medium of diffusively coupled excitable elements, we observe CR for suitable combinations of the correlation time and length of the noise.

COHERENCE RESONANCE BY EITHER INTERNAL NOISE OR EXTERNAL NON-GAUSSIAN NOISE IN INTRACELLULAR CALCIUM OSCILLATIONS

2012 ◽  
Vol 11 (02) ◽  
pp. 1250008 ◽  
Author(s):  
YUBING GONG ◽  
BO XU ◽  
LI WANG
Keyword(s):  
Intracellular Calcium ◽  
Cell Volume ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Internal Noise ◽  
External Noise ◽  
Calcium Oscillations ◽  
Noise Strength ◽  
Coherence Resonance ◽  
Non Gaussian

In this paper, we study the effects of both internal Gaussian noise and external non-Gaussian noise (NGN) on the temporal coherence of intracellular calcium oscillations. It is found that for a small cell volume internal noise can induce coherence resonance (CR) when external noise strength is small, and for a large cell volume external NGN can induce CR when noise strength, correlation time or the deviation from Gaussian distribution is varied. These results show that the calcium oscillation coherence can be optimized by either internal noise or external noise, depending on the cell volume. Furthermore, external NGN can optimize the oscillations in different ways by varying its noise strength, correlation time, or the deviation from Gaussian distribution. These findings imply that CR may appear frequently in the calcium oscillations when internal noise and external NGN coexist. This may help to entirely understand the constructive roles of internal noise and external NGN in the calcium oscillations.

ENHANCEMENT OF INTRINSIC SPIKING COHERENCE BY EXTERNAL NON-GAUSSIAN NOISE IN A STOCHASTIC HODGKIN–HUXLEY NEURON

2011 ◽  
Vol 10 (04) ◽  
pp. 359-369 ◽  
Author(s):  
LI WANG ◽  
YUBING GONG ◽  
XIU LIN
Keyword(s):  
Information Processing ◽  
Gaussian Distribution ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Temporal Coherence ◽  
Channel Noise ◽  
Coherence Resonance ◽  
Non Gaussian ◽  
Proper Values ◽  
Membrane Patch

In this paper, we study the effect of external non-Gaussian noise on the temporal coherence of the intrinsic spiking induced by the channel noise in a stochastic Hodgkin–Huxley neuron. It is found that, for a sufficiently large membrane patch, the intrinsic spiking coherence can be enhanced by the proper values of non-Gaussian noise's strength, correlation time, or deviation from Gaussian distribution. And that the intrinsic spiking can exhibit coherence resonance when the noise's strength is optimal. This implies that the channel noise-induced intrinsic spiking may become more or the most ordered in time with the assistance of the external non-Gaussian noise. These results show that the external non-Gaussian noise can play a constructive role for improving the time precision of information processing in stochastic neurons.

SELECTION OF SPIRAL WAVE IN THE COUPLED NETWORK UNDER GAUSSIAN COLORED NOISE

2013 ◽  
Vol 27 (21) ◽  
pp. 1350115 ◽  
Author(s):  
FAN LI ◽  
JUN MA
Keyword(s):  
Correlation Time ◽  
Colored Noise ◽  
Nearest Neighbor ◽  
Spiral Wave ◽  
External Noise ◽  
Parameter Region ◽  
Chua Circuit ◽  
Gaussian Colored Noise ◽  
Connection Type ◽  
Selection Of

The selection and breakup of spiral wave in a coupled network is investigated by imposing Gaussian colored noise on the network, respectively. The dynamics of each node of the network is described by a simplified Chua circuit, and nodes are uniformly placed in a two-dimensional array with nearest-neighbor connection type. The transition of spiral wave is detected by changing the coupling intensity, intensity and correlation time τ in the noise. A statistical variable is used to discern the parameter region for breakup of spiral wave and robustness to external noise. Spiral waves emerge in the network when the network with structure of complex-periodic and chaotic properties. It is found that asymmetric coupling can induce deformation of spiral wave, stronger intensity or smaller correlation time in noise does cause breakup of the spiral wave.

scholarly journals Effect of external noise correlation in optical coherence resonance

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
J. M. Buldú ◽  
J. García-Ojalvo ◽  
Claudio R. Mirasso ◽  
M. C. Torrent ◽  
J. M. Sancho
Keyword(s):  
External Noise ◽  
Noise Correlation ◽  
Optical Coherence ◽  
Coherence Resonance
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