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

Nonlinear Analysis, Theory, Methods and Applications

Volumn 34, Issue 7, 1998, Pages 941-951

  Qian, Min ^a   Qin, Wen Xin ^b   Zhu, Shu ^a  

^a PEKING UNIVERSITY   (China)

^b SOOCHOW UNIVERSITY   (China)

Author keywords

Global attractor; Horizontal curve; Rotation number; Sine Gordan equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; DYNAMICS; FINITE DIFFERENCE METHOD; INITIAL VALUE PROBLEMS; SYSTEMS ANALYSIS;

GLOBAL ATTRACTOR; HORIZONTAL CURVE; NEUMANN BOUNDARY CONDITION; ROTATION NUMBER; SINE GORDON EQUATION;

NONLINEAR EQUATIONS;

EID: 0032338073     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00554-3     Document Type: Article

References (6)

1. M. Levi, F.C. Hoppensteadt, W.L. Miranker, Dynamicas of the Josephson junction, Quart. Appl. Math. (1978) 167-198.
2. Min Qian, Wenxin Qin, Shu Zhu, Unbounded one-dimensional global attractor for the damped sine-Gordon equation, Preprint, 1995.
3. Qian Min, Sheng Wenxian, Zhang Jinyan, Global behavior in the dynamical equation of J-J type, J. Differential Equations 77 (1988) 315-333.
4. Qian Min, Sheng Wenxian, Zhang Jinyan, Dynamical behavior in coupled systems of J-J type, J. Differential Equations 88 (1990) 175-212.
5. Yin Yan, Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a sine-Gordon equation, Nonlinear Analysis 20 (12) (1993) 1417-1452.
6. Min Qian, Shu Zhu, Wenxin Qin, Dynamics in a chain of overdamped pendula driven by constant torques, SIAM J. Appl. Math. 57 (1997) 294-305.