Ergodicity of randomly perturbed Lorenz model

DOI10.1007/BF01017371zbMath0589.60055MaRDI QIDQ1074221

H. M. Ito

Publication date: 1984

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Rayleigh numberGaussian white noiseLyapunov methodLorenz modelnumerical calculation

Mathematics Subject Classification ID

Stochastic mechanics (including stochastic electrodynamics) (81P20) Stochastic analysis (60H99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (10)

Chaotic systems with asymmetric heavy-tailed noise: application to 3D attractors ⋮ Global threshold dynamics of a stochastic differential equation SIS model ⋮ Optimal harvesting policy of logistic population model in a randomly fluctuating environment ⋮ Maximal stochastic transport in the Lorenz equations ⋮ Global threshold dynamics of a stochastic epidemic model incorporating media coverage ⋮ Noise-induced global asymptotic stability. ⋮ Stochastic resonance in chaotic systems ⋮ Poissonian asymptotics of a randomly perturbed dynamical system: Flip-flop of the stochastic disk dynamo ⋮ Variational Bayesian identification and prediction of stochastic nonlinear dynamic causal models ⋮ NOISE-INDUCED CHAOS AND BACKWARD STOCHASTIC BIFURCATIONS IN THE LORENZ MODEL

Cites Work

• Unnamed Item
• Recurrence properties of Lotka-Volterra models with random fluctuations
• Ergodic and quasideterministic properties of finite-dimensional stochastic systems

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