One-dimensional global attractor for discretization of the damped driven sine-Gordon equation

DOI10.1016/S0362-546X(97)00554-3zbMath0954.34035OpenAlexW2059341537MaRDI QIDQ4264284

Shu Zhu, Wen-Xin Qin, Min Qian

Publication date: 23 January 2001

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00554-3

zbMATH Keywords

global attractorrotation numberinvariant manifoldhorizontal curvesine-Gordan equation

Mathematics Subject Classification ID

Attractors (35B41) Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear differential equations in abstract spaces (34G20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Attractors of solutions to ordinary differential equations (34D45)

Related Items (6)

One-dimensional global attractor for discretization of the damped driven sine-Gordon equation ⋮ One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ One-dimensional attractor for a strongly damped lattice system ⋮ GENERALIZED SYNCHRONIZATION, FREQUENCY-LOCKING AND PHASE-LOCKING OF COUPLED SINE CIRCLE MAPS ⋮ Dynamics in coupled systems of Josephson junctions without capacity effect ⋮ ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES

Cites Work

• Global behavior in the dynamical equation
• Dynamical behavior in coupled systems of J-J type
• Dynamics in a Chain of Overdamped Pendula Driven by Constant Torques
• One-dimensional global attractor for discretization of the damped driven sine-Gordon equation
• Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation

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