Subcritical modulational instability and transition to chaos from periodicity

2004/04/24 by Hie‐Tae Moon, Hie-Tae Moon
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.1016/j.physleta.2004.03.068

published as Phys. Lett. A 325, 324-328 (2004) · 7 figures

openalex publication_date 2004/04/24 · arxiv created 2004/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This study shows that a modulationally destabilized monochromatic wave in a fluid system may undergo a subcritical bifurcation directly into chaos, when dissipation is weak enough. Analysis is made within the framework of the complex Ginzburg-Landau equations.

Citations

• Deterministic Nonperiodic Flow

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