一类离散神经系统中的混沌存在性

Chaos in a discrete FitzHugh-Nagumo model

研究了离散FitzHugh-Nagumo神经系统的混沌现象。从理论上严格证明了在一定参数条件下系统存在Marotto意义下的混沌,并通过数值计算模拟出该混沌吸引子,以及周期14轨、周期16轨等其他复杂动态。此外,通过Lyapunov指数的计算对Marotto混沌吸引子的存在性加以验证。

Chaos phenomena in a discrete FitzHugh-Nagumo nervous model have been investigated.The existence of chaos in the sense of Marotto is analyzed theoretically.Numerical calculation studies for Lyapunov exponent demonstrate various complex dynamics,such as chaotic attractors,and period-14,and period-16 orbits.