Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli-620 024, Tamil Nadu, India.
Department of Physics & Astrophysics, University of Delhi, Delhi-110007, India.
Phys Rev E. 2018 Aug;98(2-1):022206. doi: 10.1103/PhysRevE.98.022206.
We study the evolution of bifurcation delay in a network of locally coupled slow-fast systems. Our study reveals that a tiny perturbation even in a single node causes asymmetry in bifurcation delay. We investigate the evolution of bifurcation delay as a function of various parameters, such as feedback coupling strength, amplitude of external force, frequency of external force, and delay coupling strength. We show that a traveling wave is generated as the result of introducing local parameter mismatch, and the bifurcation delay shows a dip in the spatial profile. We believe that these spatiotemporal patterns in bifurcation delay shed light on the dynamics of neuronal networks.
我们研究了局部耦合快慢系统网络中的分岔时滞演化。研究表明，即使在单个节点中存在微小的扰动，也会导致分岔时滞的不对称。我们研究了分岔时滞作为各种参数的函数的演化，如反馈耦合强度、外部力的幅度、外部力的频率和延迟耦合强度。我们表明，由于引入局部参数失配，会产生行波，并且分岔时滞在空间分布上出现凹陷。我们相信，分岔时滞的这些时空模式揭示了神经元网络的动力学。
