Most probable dynamics of some nonlinear systems under noisy fluctuations

DOI10.1016/j.cnsns.2015.06.016zbMath1489.37071OpenAlexW888212073MaRDI QIDQ2198557

Liang Wang, Zhuan Cheng, Jin-qiao Duan

Publication date: 10 September 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.06.016

zbMATH Keywords

Fokker-Planck equationDuffing oscillatorgeometric toolsmost likely eventsmost probable phase portraitsstochastic dynamics via deterministic phase portraits

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Generation, random and stochastic difference and differential equations (37H10)

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Cites Work

• Stochastic chaos in a Duffing oscillator and its control
• Stochastic methods. A handbook for the natural and social sciences
• Additive noise destroys a pitchfork bifurcation
• Identifying almost invariant sets in stochastic dynamical systems
• Stochastic differential equations. An introduction with applications.
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