诺依曼边条件下正弦戈登方程组的动力学

The Dynamics of Sine-Gordon System with Neumann Boundary Condition

利用等价模和锥压缩的方法证明了当阻尼常数和扩散常数适当大时,Neumann边条件下周期受迫的Sine-Gordon方程组的全局吸引子是一条不变曲线,系统在不变曲线上的行为类似于圆周上的保向同胚.

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.