The influence of external fluctuations on self-sustained temporal oscillations
作者： W. Ebeling , H. Engel-Herbert
DOI: 10.1016/0378-4371(80)90002-3
关键词: Statistical physics 、 Catastrophe theory 、 Stationary distribution 、 Mathematics 、 Bifurcation 、 Limit (mathematics) 、 Dynamical systems theory
摘要: The influence of external fluctuations on the bifurcational behavior two-dimensional dynamical systems exhibiting limit cycles is investigated. Studying both exactly and approximately solvable examples it shown that variances occur as additional bifurcation parameters. threshold values for soft well hard self-excitation oscillations are affected by fluctuations. To classify bifurcations in presence some aspects catastrophe theory applied to corresponding stationary probability distributions.
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