Mean convergence of periodic pseudotrajectories and invariant measures of dynamical systems

DOI10.1134/S0001434620110279zbMath1457.37036OpenAlexW3112340452MaRDI QIDQ2217286

Yanyan Li

Publication date: 29 December 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620110279

zbMATH Keywords

ergodicityinvariant measureminimal setpseudotrajectorysymbolic image

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (1)

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Cites Work

• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Lyapunov exponents and invariant measures on a projective bundle
• Dynamical systems, graphs, and algorithms
• Symbolic images and invariant measures of dynamical systems
• The spectrum of the averaging of a function over pseudotrajectories of a dynamical system
• An Introduction to Symbolic Dynamics and Coding
• Ergodic sets
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