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Noisy one-dimensional maps near a crisis. II: General uncorrelated weak noise

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Publication:1285269
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DOI10.1007/BF02174212zbMath0952.37500MaRDI QIDQ1285269

Peter Reimann

Publication date: 18 January 2001

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


zbMATH Keywords

Lévy distributionescape ratedichotomous noisecrisisstructural instabilitynoisy map


Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Ergodic theory (37A99) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)


Related Items (3)

Escape-rate response to noise of all amplitudes in leaky chaos ⋮ Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics ⋮ Noisy one-dimensional maps near a crisis. I: Weak Gaussian white and colored noise.




Cites Work

  • Unnamed Item
  • Properties of fully developed chaos in one-dimensional maps
  • Quasipotentials for simple noisy maps with complicated dynamics
  • Noisy one-dimensional maps near a crisis. I: Weak Gaussian white and colored noise.
  • The influence of noise on the logistic model
  • Super persistent chaotic transients
  • Noisy fractals




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