狄氏边条件无电容效应的Sine-Gordon系统的动力学
적씨변조건무전용효응적Sine-Gordon계통적동역학
Dynamics of Sine-Gordon System Without Capacitance Effect Under Dirichlet Boundary Condition
  • 万方数据
    北方交通大学学报 북방교통대학학보
    JOURNAL OF NORTHERN JIAOTONG UNIVERSITY
    2001年 1期 108-110 ,共3页

    刘迎东%何卫力

    류영동%하위력

    全局吸引子%周期解%梯度系统 全跼吸引子%週期解%梯度繫統
    전국흡인자%주기해%제도계통
    证明无电容效应的Sine-Gordon系数的全局吸引子的存在性，并指出当扩散系统适当大时全局吸引子即为系统的唯一周期解.还证明系统在自治情形时是一个梯度系统.
    증명무전용효응적Sine-Gordon계수적전국흡인자적존재성，병지출당확산계통괄당대시전국흡인자즉위계통적유일주기해.환증명계통재자치정형시시일개제도계통.
    In this paper we prove the existence of global attractor for the Sine-Gordon system without capaciance effect, pointing out the global attractor is the unique periodic solution of the system when the diffusion constant is sufficiently large. We also prove the autonomous system is a gradient system.
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