Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion
I.I. Ovsyannikov, D. Turaev, S. Zelik
TL;DR
This paper provides an analytical demonstration of how large third-order dispersion can induce Shilnikov chaos in the complex Ginzburg-Landau equation, revealing complex chaotic dynamics in this nonlinear system.
Contribution
It offers the first rigorous proof of chaos emergence in the complex Ginzburg-Landau equation due to third-order dispersion effects.
Findings
Existence of Shilnikov chaos proven analytically
Large third-order dispersion induces bifurcation to chaos
Chaotic dynamics characterized in the complex Ginzburg-Landau system
Abstract
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg-Landau equation subject to a large third-order dispersion perturbation.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Quantum chaos and dynamical systems · Nonlinear Photonic Systems