所属单位：航空学院
发表刊物：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
关键字：MPEP Large deviation theory Lagrangian manifold Singularities
摘要：Noise induced transitions of an overdamped periodically driven oscillator are investigated theoretically and numerically in the limit of weak noise due to the Freidlin-Wentzell large deviation theory. Heteroclinic trajectories are found to approach the unstable orbit with fluctuational force tending to zeros. The global minimizer of the action functional corresponds to the most probable escape path and it shows a good agreement with statistical results. We then study the origins of singularities from a topological point of view by considering structures of the Lagrangian manifold and action surface. The switching line and cusp point turn out to have physical significance since they may impact the prehistory distributions, making the optimal path invalid. (C) 2017 Elsevier B.V. All rights reserved.
ISSN号：1007-5704
是否译文：否
发表时间：2017-07-01
合写作者：陈朕
通讯作者：刘先斌
发表时间：2017-07-01