The diverse firing responses in a single neuron model as well as in a neuronal network play
a major role in understanding the collective neuronal dynamics. In this paper, we consider …

Using finite element simulation, we study the main features of rotating wave solutions of the
cubic complex Ginzburg–Landau equation. To focus on the characteristics of the waves …

Using Taylor series expansion, multiscaling, and further expansion in powers of a small
parameter, we develop general amplitude equations for two-variable reaction-diffusion …

We analyze the way topological constraints and inhomogeneity in the excitability influence
the dynamics of spiral waves on spheres and punctured spheres of excitable media. We …

A theoretical approach is developed which allows one to describe the drift of a spiral wave
mediated by a feedback signal taken as an integral of a system variable over a certain …

Spiral and antispiral waves are studied numerically in two examples of oscillatory reaction−
diffusion media and analytically in the corresponding complex Ginzburg− Landau equation …

The interaction of a pair of spiral waves with different independent rotation frequencies is
studied. In a very large frequency mismatch searching region, we observe three different …

研究了一类参数时变的反应扩散系统中螺旋波和湍流对外电场的响应问题. 在数值模拟中,
以一类改进的Fitzhugh4Nagumo 模型为研究对象(在恰当参数值下可分别描述激发介质和振荡 …

The effect of noise on the pattern selection in a regular network of Hodgkin–Huxley neurons
is investigated, and the transition of pattern in the network is measured from subexcitable to …

In this letter, scheme is proposed to suppress the spiral wave and multi-spiral waves in the
complex Ginzburg–Landau equation (CGLE) under a local feedback control, which the …