Coupled Networks, Patterns and Complexity - Abstract

Dziubak, Volodymyr

Coherent traveling waves in nonlocally coupled chaotic Lorenz systems

We discuss the origin of coherent traveling wave patterns in a network of coupled chaotic Lorenz systems with nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal network dynamics on the range and strength of the coupling, we uncover a bifurcation scenario for the transition from stationary patterns to regular traveling waves of different wavenumbers. The transition is ruled by a symmetric homoclinic bifurcation and is accompanied by the appearance of periodic and chaotic breathing, as well as long chaotic transients.