A note on shadowing with chain transitivity
From MaRDI portal
Publication:434828
DOI10.1016/j.cnsns.2011.11.015zbMath1252.37007OpenAlexW2031691020MaRDI QIDQ434828
Publication date: 16 July 2012
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.11.015
shadowingequicontinuitychain transitivitysyndetical sensitivitysyndetical transitivitytopological ergodicity
Ergodicity, mixing, rates of mixing (37A25) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)
Related Items (22)
Specification and shadowing properties for non-autonomous systems ⋮ Erratum to ``A note on uniform convergence and transitivity ⋮ Induced dynamics in hyperspaces of non-autonomous discrete systems ⋮ Unnamed Item ⋮ Sensitivity for topologically double ergodic dynamical systems ⋮ Analytic model for Rayleigh wave propagation in piezoelectric layer overlaid orthotropic substratum ⋮ \(N\)-convergence and chaotic properties of non-autonomous discrete systems ⋮ Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps ⋮ Furstenberg families and chaos on uniform limit maps ⋮ A quantitative approach to syndetic transitivity and topological ergodicity ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ Several sufficient conditions for a map and a semi-flow to be ergodically sensitive ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ On stronger forms of sensitivity in non-autonomous systems ⋮ Central limit theorem and chaoticity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence ⋮ Study on Strong Sensitivity of Systems Satisfying the Large Deviations Theorem ⋮ A note on stronger forms of sensitivity for inverse limit dynamical systems ⋮ Relationship among several types of sensitivity in general semi-flows ⋮ Shadowing, ergodic shadowing and uniform spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The large deviations theorem and sensitivity
- Shadowing with chain transitivity
- Several sufficient conditions for sensitive dependence on initial conditions
- On shadowing: ordinary and ergodic
- Transitivity, mixing and chaos for a class of set-valued mappings
- Sensitivity of set-valued discrete systems
- Topological dynamics of transformations induced on the space of probability measures
- Chaotic properties of mappings on a probability space.
- Decay of correlation implies chaos in the sense of Devaney
- Weak-mixing implies sensitive dependence
- Stochastic properties in Devaney's chaos
- Everywhere chaotic homeomorphisms on manifolds and \(k\)-dimensional Menger manifolds
- The asymptotic average shadowing property and transitivity
- On some stochastic properties in Devaney's chaos
- The large deviations theorem and ergodicity
- On Devaney's Definition of Chaos
- Sensitive dependence on initial conditions
- Stronger forms of sensitivity for dynamical systems
- The Existence of Probability Measures with Given Marginals
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Shadowing properties of \({\mathcal L}\)-hyperbolic homeomorphisms
This page was built for publication: A note on shadowing with chain transitivity