Autoresonant excitation of multiphase waves in the sine-Gordon model

Autor:	L. Friedland, A.G. Shagalov
Rok vydání:	2009
Předmět:	Nonlinear system Amplitude Classical mechanics Inverse scattering transform Excited state Quantum electrodynamics Inverse scattering problem Resonance Statistical and Nonlinear Physics sine-Gordon equation Condensed Matter Physics Excitation Mathematics
Zdroj:	Physica D: Nonlinear Phenomena. 238:1561-1568
ISSN:	0167-2789
Popis:	Autoresonant excitation and control of multiphase waves of the sine-Gordon equation is discussed. The autoresonance (a persistent nonlinear phase-locking) is achieved by applying chirped frequency wave-like perturbations and passage through resonances with inactive (dormant) degrees of freedom in the system. Successful phase locking requires the amplitude of the driving perturbation to exceed a threshold that scales as 3/4 power of the driving frequency chirp rate. The spectral theory of the inverse scattering transform method is used for diagnostics and analysis of the excited solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9432555026daebd28e834b731f65eba4 https://doi.org/10.1016/j.physd.2009.04.013 Zobrazit plný text záznamu Full Text from ScienceDirect