Generalized synchronization in directionally coupled systems with identical individual dynamics

J. M. González-Miranda
2002 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
A simple chaotic flow is presented, which when driven by an identical copy of itself, for certain initial conditions, is able to display generalized synchronization instead of identical synchronization. Being that the drive and the response are observed in exactly the same coordinate system, generalized synchronization is demonstrated by means of the auxiliary system approach and by the conditional Lyapunov spectrum. This is interpreted in terms of changes in the structure of the system
more » ... the system stationary points, caused by the coupling, which modify its global behavior.
doi:10.1103/physreve.65.047202 pmid:12006074 fatcat:v4hacwukj5fkzlry47p6vd2nky