Stochastic pitchfork bifurcation: Numerical simulations and symbolic calculations using MAPLE

DOI10.1016/0378-4754(93)E0083-HzbMath0829.65139MaRDI QIDQ1897675

Kedai Xu

Publication date: 22 January 1996

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

Wiener processMAPLEnonlinear stochastic differential equationpitchfork bifurcationvan de Pol-Duffing oscillator

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Probabilistic methods, stochastic differential equations (65C99)

Related Items (2)

A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits ⋮ Bifurcation in Mean Phase Portraits for Stochastic Dynamical Systems with Multiplicative Gaussian Noise

Uses Software

• Maple

Cites Work

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• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Normal forms for random diffeomorphisms
• Stability of dynamical systems
• On the Classification of Dynamical Systems
• Influence of Noise on Duffing‐Van der Pol Oscillators
• Stochastic bifurcation

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