On bifurcation diagrams of stochastic dynamical systems

DOI10.1007/BF00402038zbMath0667.93093OpenAlexW161860203MaRDI QIDQ1117888

Stanisław Janeczko

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402038

zbMATH Keywords

invariant measuresbifurcation pointsstochastic bifurcationdichotomic noisestochastic gradient systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Stochastic systems in control theory (general) (93E03) Stochastic analysis (60H99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Bifurcations in stochastic dynamical systems with simple singularities
• Singularities and groups in bifurcation theory. Volume I
• Stochastic nonlinear systems in physics, chemistry, and biology. Proceedings of the Workshop, Bielefeld, Fed. Rep. of Germany, October 5- 11, 1980
• Stochastic processes. A survey of the mathematical theory
• Phase Diagrams of Noise Induced Transitions: Exact Results for a Class of External Coloured Noise
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