Localized chaotic patterns in weakly dissipative systems

摘要: A generalized parametrically driven damped nonlinear Schrodinger equation is used to describe, close the resonance, dynamics of weakly dissipative systems, like a harmonically coupled pendula chain or an easy-plane magnetic wire. The combined effects parametric forcing, spatial coupling, and dissipation allows for existence stable non-trivial uniform states as well homogeneous pattern states. latter can be regular chaotic. new family localized that connect asymptotically state with spatio-temporal chaotic numerically found. We discuss parameter range, where these structures exist. This article dedicated Prof. Helmut R. Brand on occasion his 60th birthday.