Influence of nonlinear dissipation and external perturbations onto transition scenarious to chaos in Lorenz-Haken system

TL;DR

This paper investigates how nonlinear dissipation and external perturbations affect the transition to chaos in the Lorenz-Haken system, revealing various routes to chaos such as Ruelle-Takens, Feigenbaum, and intermittency.

Contribution

It introduces analysis of how external potential parameters influence chaos onset and identifies multiple transition scenarios in the modified Lorenz-Haken system.

Findings

External potential parameters form domains of chaos.

Transitions include Ruelle-Takens, Feigenbaum, and intermittency.

Chaos can be induced by varying dissipation and perturbations.

Abstract

We study an influence of nonlinear dissipation and external perturbations onto transition scenarious to chaos in Lorenz-Haken system. It will be show that varying in external potential parameters values leads to parameters domain formation of chaos realization. In the modified Lorenz-Haken system transitions from regular to chaotic dynamics can be of Ruelle-Takens scenario, Feigenbaum scenario, or through intermittency.