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Poissonian asymptotics of a randomly perturbed dynamical system: Flip-flop of the stochastic disk dynamo

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Publication:1285245
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DOI10.1007/BF02175555zbMath0921.60046MaRDI QIDQ1285245

H. M. Ito, Toshio Mikami

Publication date: 21 September 1999

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


zbMATH Keywords

Poisson processsmall random perturbations


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Geostatistics (86A32) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)


Related Items

Asymptotic behavior of the first exit times of randomly perturbed dynamical systems with unstable equilibrium points



Cites Work

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  • Metastability for a class of dynamical systems subject to small random perturbations
  • Some regularity results on the Ventcel-Freidlin quasi-potential function
  • Ergodicity of randomly perturbed Lorenz model
  • Metastable behavior of stochastic dynamics: A pathwise approach
  • The exit problem for small random perturbations of dynamical systems with a hyperbolic fixed point
  • Exponential Leveling for Stochastically Perturbed Dynamical Systems
  • ON SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS
  • On the exponential exit law in the small parameter exit problem
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