Abstract
Spatially uniform cross-correlated sine-Wiener (CCSW) noises are imposed on each Hodgkin-Huxley (HH) neuron in a two-dimensional (2D) regular network. Noise-induced spiral wave destruction and order-disorder spatial pattern transition can be observed by adjusting cross-correlation time or cross-correlation intensity of CCSW noises. The sudden change of the curve of synchronization factor R and the time series of average membrane voltage F can be used to semiquantitatively assess this spatial pattern transition and spiral wave destruction induced by CCSW noises, respectively. In addition, moderate cross-correlation time and strong cross-correlation intensity of CCSW noises are both detrimental to survival of spiral wave. Comparing with non-cross-correlated sine-Wiener noises, CCSW noises can destroy organized spiral wave with lesser noise amplitude.
Highlights
A hot issue in neurosciences is to investigate synchronized collective behaviors of a group of interacting neurons due to their potential applications in information processing, information transmission, and so on
We firstly construct a twodimensional (2D) regular network of HH neurons subjected to spatially uniform cross-correlated sine-Wiener (CCSW) noises and investigate spiral wave destruction and spatial pattern transition induced by spatially uniform CCSW noises
This study focuses primarily on spiral wave destruction and spatial pattern transition induced by spatially uniform CCSW noises
Summary
A hot issue in neurosciences is to investigate synchronized collective behaviors of a group of interacting neurons due to their potential applications in information processing, information transmission, and so on. Spiral wave is one of the most important spatiotemporal patterns and widely observed in various real systems. Cross-correlated sine-Wiener (CCSW) noises can induce transitions in tumor-immune system interplay [16], genotype selection model [17], and the modified FitzHugh–Nagumo (FHN) neuron model [18]. Some studies on CCSW noises have been achieved, to our best knowledge, the effects of CCSW noises on the spiral wave and pattern dynamics have not been so far reported. We firstly construct a twodimensional (2D) regular network of HH neurons subjected to spatially uniform CCSW noises and investigate spiral wave destruction and spatial pattern transition induced by spatially uniform CCSW noises
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