Sine-Gordon方程中混沌跳跃行为的机制

来源 :力学学报 | 被引量 : 0次 | 上传用户：jmfxuexi

【摘要】

：

定性研究了sine-Gordon方程在其广义近似惯性流形上的一个四维常微分方程.通过奇异扰动理论得到Silnikov同宿轨道存在的一个解析判定,然而在以往数值模拟中使用过的参数条件

【作者】

：

黄德斌刘曾荣郑永爱

【机构】

：

上海大学数学系

【出处】

：

力学学报

【发表日期】

：

2004年期

【关键词】

：

sine-Gordon方程惯性流形同宿轨道脉冲轨道混沌

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定性研究了sine-Gordon方程在其广义近似惯性流形上的一个四维常微分方程.通过奇异扰动理论得到Silnikov同宿轨道存在的一个解析判定,然而在以往数值模拟中使用过的参数条件下,上面的判定不完全成立.于是进一步利用能量差方法,在这些参数条件下证明了至少存在四条结构稳定的脉冲轨道,它们正好反映了在sine-Gordon方程的数值模拟中观察到的混沌跳跃行为.

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Sine-Gordon方程中混沌跳跃行为的机制

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