Sine-Gordon方程中混沌跳跃行为的机制

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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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