Complex Ginzburg-Landau equation for self-oscillatory systems under amplitude modulated forcing in a 1:1 resonance

2002/07/01 by Germán J. de Valcárcel, German J. de Valcarcel, de Valcarcel, German J.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Quantum chaos and dynamical systems #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0207004

arxiv created 2002/07/01 · openalex publication_date 2002/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The dynamics of self-oscillatory extended systems, resonantly forced at a frequency close to that of the natural oscillations (1:1 resonance), is shown to be universally described by a complex Ginzburg-Landau equation containing an inhomogeneous term. The case of amplitude modulated forcing is considered, which generalizes previous studies. Application to the two-frequency forcing in a 1:1 resonance is considered as an example.

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