A closing scheme for finding almost-invariant sets in open dynamical systems

DOI10.3934/jcd.2014.1.135zbMath1320.37037OpenAlexW2328111954MaRDI QIDQ482715

Robyn M. Stuart, Gary Froyland, Philip K. Pollett

Publication date: 6 January 2015

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jcd.2014.1.135

zbMATH Keywords

Perron-Frobenius operatormetastabilityopen dynamical systemUlam's methodalmost-invariant setconditionally invariant measure

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Uses Software

• GAIO

Cites Work

• Chaotic transport in dynamical systems

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