自共振激励下耗散多稳系统混沌逃逸的普适标度律
Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations
摘要：
在一般的，耗散的，多稳态系统的背景下，提出了一个理论，关于混沌逃逸的出现和控制的势阱通过自共振激发。通用的标度律有关的发病和寿命的瞬态混沌与参数的自共振激发理论推导出使用振动力学，Melnikov分析，和基于能量的自共振理论。数值实验表明，这些比例律对噪声和重构的存在都是鲁棒的。
英文摘要：
A theory concerning the emergence and control of chaotic escape from a potential well by means of autoresonant excitations is presented in the context of generic, dissipative, and multistable systems. Universal scaling laws relating both the onset and lifetime of transient chaos with the parameters of autoresonant excitations are derived theoretically using vibrational mechanics, Melnikov analysis, and energy-based autoresonance theory. Numerical experiments show that these scaling laws are robust against both the presence of noise and re-shaping.
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