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Neumann边条件无电容效应Sine-Gordon系统的动力学
Dynamics of Sine-Gordon System Without Capacitance Effect Under Neumann Boundary Condition
【摘要】 证明当扩散系数适当大时Neumann边条件下无电容效应的Sine Gordon系统全局吸引子是一条不变曲线 ,系统在其上的行为类似于圆周上的保向同胚 .
【Abstract】 In this paper we prove that the global attractor for the Sine-Gordon system without capacitance effect under Neumann boundary condition is an invariant curve. The behavior of the system on the curve is like the orientation preserving homeomorphism on a circle.
【关键词】 全局吸引子;
不变曲线;
保向同胚;
【Key words】 global attractor; invariant curve; orientation preserving homeomorphism;
【Key words】 global attractor; invariant curve; orientation preserving homeomorphism;
【基金】 国家自然科学基金资助项目 !(199710 0 4)
- 【文献出处】 北方交通大学学报 ,Journal of Northern Jiaotong University , 编辑部邮箱 ,2001年03期
- 【分类号】O411;O175.2
- 【下载频次】25