NOISE-INDUCED CHAOS AND BACKWARD STOCHASTIC BIFURCATIONS IN THE LORENZ MODEL

DOI10.1142/S0218127413500922zbMath1270.34164OpenAlexW2170852700MaRDI QIDQ2845309

Pavel Stikhin, L. B. Ryashko, Irina Bashkirtseva

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413500922

zbMATH Keywords

Lorenz modelnoise-induced chaosstochastic sensitivity functionbackward stochastic bifurcation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

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Cites Work

• Stochastic sensitivity of 3D-cycles
• Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances
• Noise induced destruction of zero Lyapunov exponent in coupled chaotic systems
• Confidence tori in the analysis of stochastic 3D-cycles
• Ergodicity of randomly perturbed Lorenz model
• A first approximation of the quasipotential in problems of the stability of systems with random nondegenerate perturbations
• The influence of noise on the logistic model
• TOWARD AN UNDERSTANDING OF STOCHASTIC HOPF BIFURCATION
• Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system
• ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM

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