Poincaré's recurrence theorem for set-valued dynamical systems

DOI10.4064/ap-54-1-85-91zbMath0760.54026OpenAlexW327505023MaRDI QIDQ3979461

Jean-Pierre Aubin, Hélène Frankowska, Andrzej Lasota

Publication date: 26 June 1992

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-54-1-85-91

zbMATH Keywords

invariant measureset-valued dynamical systemsPoincaré's recurrence theorem

Mathematics Subject Classification ID

Related Items (14)

Frobenius-Perron operators and approximation of invariant measures for set-valued dynamical systems ⋮ Convergence of constant step stochastic gradient descent for non-smooth non-convex functions ⋮ Invariant measures on multi-valued functions ⋮ Poincaré's recurrence theorems for set-valued dynamical systems ⋮ Constant step stochastic approximations involving differential inclusions: stability, long-run convergence and applications ⋮ Logarithmic expansion, entropy, and dimension for set-valued maps ⋮ Dynamical properties in the axiomatic theory of ordinary differential equations ⋮ Multiple recurrence theorems for set-valued maps ⋮ Invariant measures for multivalued semigroups ⋮ Metric entropy for set-valued maps ⋮ Invariant measures of set-valued maps ⋮ Invariant Measures for Set-Valued Dynamical Systems ⋮ Markov operators with a unique invariant measure ⋮ Topological entropy for set-valued maps

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