Bifurcation in Mean Phase Portraits for Stochastic Dynamical Systems with Multiplicative Gaussian Noise
DOI10.1142/S0218127420502168zbMath1452.37059arXiv1811.05354OpenAlexW3088084853MaRDI QIDQ4971043
Athanasios Tsiairis, Hui Wang, Jin-qiao Duan
Publication date: 8 October 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.05354
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Bifurcation theory for random and stochastic dynamical systems (37H20) Fokker-Planck equations (35Q84)
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Cites Work
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- Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Additive noise destroys a pitchfork bifurcation
- Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials
- Escape from a metastable state with fluctuating barrier
- The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise
- Spatio-temporal patterns in population dynamics
- Stochastic pitchfork bifurcation: Numerical simulations and symbolic calculations using MAPLE
- Most probable dynamics of some nonlinear systems under noisy fluctuations
- Stochastic bifurcation of pathwise random almost periodic and almost automorphic solutions for random dynamical systems
- Stochastic differential equations, backward SDEs, partial differential equations
- Deterministic analysis of stochastic bifurcations in multi-stable neurodynamical systems
- NONAUTONOMOUS SADDLE-NODE BIFURCATIONS IN THE QUASIPERIODICALLY FORCED LOGISTIC MAP
- Stochastic acceleration in generalized squared Bessel processes
- A sufficient condition for bifurcation in random dynamical systems
- A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Stochastic bifurcation
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