Recurrences determine the dynamics
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Publication:5246366
DOI10.1063/1.3117151zbMath1309.37021OpenAlexW2072649744WikidataQ51816240 ScholiaQ51816240MaRDI QIDQ5246366
Geoffrey R. Robinson, Marco Thiel
Publication date: 21 April 2015
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3117151
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Cites Work
- Unnamed Item
- Some mathematical problems in the theory of quantum chaos
- Recurrence times and rates of mixing
- Recurrence, dimensions, and Lyapunov exponents.
- Statistics of return times: A general framework and new applications
- How much information is contained in a recurrence plot?
- Poisson limit law for Markov chains
- Recurrence spectrum in smooth dynamical systems
- RECURRENCE TIME STATISTICS IN CHAOTIC DYNAMICS: MULTIPLE RECURRENCES IN INTERMITTENT CHAOS
- Proof of a Recurrence Theorem for Strongly Transitive Systems
- Local dimensions for Poincaré recurrences
- Poisson law for Axiom A diffeomorphisms
- Pesin’s dimension for Poincaré recurrences
- Generating surrogates from recurrences
- Estimation of dynamical invariants without embedding by recurrence plots
- Fluctuation Theory of Recurrent Events
- Hausdorff dimension of measures via Poincaré recurrence
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