Various Shadowing in Linear Dynamical Systems

DOI10.1142/S0218127419500421zbMath1411.37025OpenAlexW2929644367WikidataQ128141717 ScholiaQ128141717MaRDI QIDQ4631675

Xin Ma, Xinxing Wu, Xu Zhang

Publication date: 18 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500421

zbMATH Keywords

hyperbolicitydistributional chaosasymptotic average shadowingaverage shadowingergodic shadowing\(d\)-shadowing

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (13)

Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Shifts, rotations and distributional chaos ⋮ Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties ⋮ Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps ⋮ Topological chain and shadowing properties of dynamical systems on uniform spaces ⋮ FURTHER DISCUSSION ON KATO'S CHAOS IN SET-VALUED DISCRETE SYSTEMS ⋮ Diffeomorphisms with the \(\mathcal{M} _0\)-shadowing property ⋮ Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence ⋮ Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems ⋮ Dynamics of Operator-Weighted Shifts ⋮ Invariance of distributional chaos for backward shifts ⋮ Relationship among several types of sensitivity in general semi-flows ⋮ Recurrent sets and shadowing for finitely generated semigroup actions on metric spaces

Cites Work

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• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• Limit shadowing property
• Topological Ergodic Shadowing and Chaos on Uniform Spaces
• On almost specification and average shadowing properties

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