Spiral Waves and Multiple Spatial Coherence Resonances Induced by Colored Noise in Neuronal Network

• Published in: Communications in theoretical physics Vol. 57; no. 1; pp. 61 - 67
• Main Author: 唐昭 李玉叶 惠磊 贾冰 吉华光
• Format: Journal Article
• Language: English
• Published: 2012
• Subjects: Coherence; Gaussian; Invariants; Mathematical analysis; Networks; Neurons; Noise; Spirals; 和空间; 有色噪声; 相干共振; 神经网络; 空间结构; 螺旋波; 诱导; 高斯色噪声
• ISSN: 0253-6102
• DOI: 10.1088/0253-6102/57/1/10

Gaussian colored noise induced spatial patterns and spatial coherence resonances in a square lattice neuronal network composed of Morris-Lecar neurons are studied. Each neuron is at resting state near a saddle-node bifurcation on invariant circle, coupled to its nearest neighbors by electronic coupling. Spiral waves with different structures and disordered spatial structures can be alternately induced within a large range of noise intensity. By calculating spatial structure function and signal-to-noise ratio （SNR）, it is found that SNR values are higher when the spiral structures are simple and are lower when the spatial patterns are complex or disordered, respectively. SNR manifest multiple local maximal peaks, indicating that the colored noise can induce multiple spatial coherence resonances. The maximal SNR values decrease as the correlation time of the noise increases. These results not only provide an example of multiple resonances, but also show that Gaussian colored noise play constructive roles in neuronal network.