Nonlinear dynamics in driven, damped sine-Gordon systems

DOI10.1016/0167-2789(86)90162-4zbMath0605.35081OpenAlexW1969080072MaRDI QIDQ1084265

A. R. Bishop, Peter S. Lomdahl

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90162-4

zbMATH Keywords

nonlinear dynamicsphysical applicationsSine-Gordonchaos transitions

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (15)

Phase-pulling and breather instability in an AC-driven damped one- dimensional sine-Gordon system ⋮ One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ KdV solitons in active media ⋮ Nonlinear dynamics of oriented elastic solids. II: Propagation of solitons ⋮ Foliations of isonergy surfaces and singularities of curves ⋮ Hierarchy of bifurcations in the truncated and forced nonlinear Schrödinger model ⋮ Computation of the direct scattering transform for the nonlinear Schrödinger equation ⋮ On unique ergodicity in nonlinear stochastic partial differential equations ⋮ Finite element approximation to two-dimensional sine-Gordon solitons ⋮ Subharmonic and homoclinic bifurcations in the driven and damped sine-Gordon system ⋮ A quasi-periodic route to chaos in a near-integrable PDE ⋮ Analysis of breather state in thin bar by using collective coordinates ⋮ A model for the propagation of rounding error in a Klein-Gordon equation ⋮ Horseshoe-shaped maps in chaotic dynamics of long Josephson junction driven by biharmonic signals ⋮ Spatiotemporal evolution form a pair of like polarity solitons to chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamical problems in soliton systems. Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27-31, 1984
• Physics in one dimension. Proceedings of an international conference, Fribourg, Switzerland, August 25-29, 1980
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations

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