期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 72, 期 -, 页码 575-585出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2019.01.018
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资金
- UGC-NET [2121450744, 21/12/2014(ii) EU-V]
- DST-INSPIRE, Government of India
For a model nonlinear dynamical system, we show how one may obtain its bifurcation behavior by introducing noise into the dynamics and then studying the resulting Langevin dynamics in the weak-noise limit. A suitable quantity to capture the bifurcation behavior in the noisy dynamics is the conditional probability to observe a microscopic configuration at one time, conditioned on the observation of a given configuration at an earlier time. For our model system, this conditional probability is studied by using two complementary approaches, the Fokker-Planck and the path-integral approach. The latter has the advantage of yielding exact closed-form expressions for the conditional probability. All our predictions are in excellent agreement with direct numerical integration of the dynamical equations of motion. (C) 2019 Elsevier B.V. All rights reserved.
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