1999/11/30 by Niurka R. Quintero, Ángel Sánchez, Angel Sanchez +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Classical mechanics #Coupling (piping) #Mathematics #Mode coupling #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear resonance #Nonlinear system #Omega #Parametric oscillator #Physics #Quantum electrodynamics #Quantum mechanics #Resonance (particle physics) #Symmetry (geometry) #cond-mat.mes-hall #cond-mat.stat-mech #math-ph #math.MP #nlin.PS #patt-sol
paper · pdf · doi:10.1103/physrevlett.84.871
4 pages, 4 figures, to appear in Phys Rev Lett
arxiv created 1999/11/30 · openalex publication_date 2000/01/31 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon solitary waves having an internal mode of frequency \ensuremathΩi. We show that the strongest resonance arises when the driving frequency \ensuremathδ\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathΩi/2, whereas when \ensuremathδ\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremathΩi the resonance is weaker, disappearing for nonzero damping. At resonance, the dynamics of the kink center of mass becomes chaotic. As we identify the resonance mechanism as an indirect coupling to the internal mode due to its symmetry, we expect similar results for other systems.