关键词: 吸引子, 周期解, 稳定性

Abstract:

By the methods of equivalent norms and cone squeezing the author proves that the attractor of the periodic forcing coupled Sine-Gordon system with Neumann boundary condition is an invariant curve when both the damping
constant and diffusion constant are sufficiently large. The behavior of the system on the curve is like the orientation preserving homeomorphism on a circle.

Key words: Attractor, Periodic solution, Stability