On statistical attractors and the convergence of time averages

DOI10.1017/S0305004110000642zbMath1214.37024WikidataQ57947678 ScholiaQ57947678MaRDI QIDQ3081476

Özkan Karabacak, Peter Ashwin

Publication date: 8 March 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Milnor attractortime averagesessential \(\omega\)-limit setIlyashenko attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items

Persistent non-statistical dynamics in one-dimensional maps ⋮ On Ilyashenko’s statistical attractors ⋮ Finding Extremal Periodic Orbits with Polynomial Optimization, with Application to a Nine-Mode Model of Shear Flow ⋮ Bounds for Deterministic and Stochastic Dynamical Systems using Sum-of-Squares Optimization

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