Probabilistic approach to homoclinic chaos
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Publication:1906387
DOI10.1007/BF02187063zbMath0840.58032OpenAlexW2062510205MaRDI QIDQ1906387
Publication date: 7 July 1996
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02187063
master equationdiscrete mapshomoclinic chaosFrobenius-Perron equationgeneralized coarse-grainingtime autocorrelation function
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stochastic integrals (60H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Structure of the correlation function at the accumulation points of the logistic map ⋮ SYMBOL-TO-SYMBOL CORRELATION FUNCTION AT THE FEIGENBAUM POINT OF THE LOGISTIC MAP
Cites Work
- Generalized spectral decomposition of the \(\beta\)-adic baker's transformation and intrinsic irreversibility
- Bifurcation phenomena near homoclinic systems: A two-parameter analysis
- Stochastic resonance in chaotic dynamics
- Homoclinic chaos in chemical systems
- Time-Correlation Functions of One-Dimensional Transformations
- Master-equation approach to deterministic chaos
- Probabilistic Properties of Deterministic Systems
- r-adic one-dimensional maps and the Euler summation formula
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