多稳态
间歇性
吸引子
噪音(视频)
亚稳态
统计物理学
固定点
物理
混乱的
非周期图
洛伦兹系统
非线性系统
混沌同步
数学
数学分析
控制理论(社会学)
量子力学
湍流
机械
计算机科学
控制(管理)
人工智能
图像(数学)
组合数学
作者
Wen‐wen Tung,Jing Hu,Jianbo Gao,Vincent A. Billock
标识
DOI:10.1142/s0218127408021336
摘要
Multistability is an interesting phenomenon of nonlinear dynamical systems. To gain insights into the effects of noise on multistability, we consider the parameter region of the Lorenz equations that admits two stable fixed point attractors, two unstable periodic solutions, and a metastable chaotic "attractor". Depending on the values of the parameters, we observe and characterize three interesting dynamical behaviors: (i) noise induces oscillatory motions with a well-defined period, a phenomenon similar to stochastic resonance but without a weak periodic forcing; (ii) noise annihilates the two stable fixed point solutions, leaving the originally transient metastable chaos the only observable; and (iii) noise induces hopping between one of the fixed point solutions and the metastable chaos, a three-state intermittency phenomenon.
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