Which hole is leaking the most: a topological approach to study open systems

DOI10.1088/0951-7715/23/3/012zbMath1186.37015OpenAlexW1967382729MaRDI QIDQ3550010

Leonid A. Bunimovich, Valentin Afraimovich

Publication date: 30 March 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/3/012

zbMATH Keywords

strange attractorschaotic dynamicsMarkov processessymbolic dynamics

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical aspects of statistical mechanics (37A60)

Related Items (14)

Faster than expected escape for a class of fully chaotic maps ⋮ The multifractal spectra for the recurrence rates of beta-transformations ⋮ Escape-rate response to noise of all amplitudes in leaky chaos ⋮ The optimal sink and the best source in a Markov chain ⋮ Where and when orbits of chaotic systems prefer to go ⋮ Escape from large holes in Anosov systems ⋮ Local and global approaches to the problem of Poincaré recurrences. Applications in nonlinear dynamics ⋮ Topological properties of invariant sets for two-dimensional hyperbolic toral automorphisms ⋮ Escape rates and singular limiting distributions for intermittent maps with holes ⋮ Open maps: small and large holes with unusual properties ⋮ Local escape rates for -mixing dynamical systems ⋮ Asymptotic escape rates and limiting distributions for multimodal maps ⋮ Limiting entry and return times distribution for arbitrary null sets ⋮ Why escape is faster than expected

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