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arXiv · 1003.2013

Multicanonical Sampling of Rare Trajectories in Chaotic Dynamical Systems

Akimasa Kitajima·Yukito Iba
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Abstract

In chaotic dynamical systems, a number of rare trajectories with low level of chaoticity are embedded in chaotic sea, while extraordinary unstable trajectories can exist even in weakly chaotic regions. In this study, a quantitative method for searching these rare trajectories is developed; the method is based on multicanonical Monte Carlo and can estimate the probability of initial conditions that lead to trajectory fragments of a given level of chaoticity. The proposed method is successfully tested with four-dimensional coupled standard maps, where probabilities as small as $10^{-14}$ are estimated.

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Akimasa Kitajima, Yukito Iba. 2010-10-05. Multicanonical Sampling of Rare Trajectories in Chaotic Dynamical Systems. https://doi.org/10.1016/j.cpc.2010.07.044

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