Topological features of flows with the reparametrized gluing orbit property

DOI10.1016/j.jde.2017.01.008zbMath1381.37024OpenAlexW2576855921MaRDI QIDQ507559

Thiago Bomfim, Paulo Varandas, Maria Joana Torres

Publication date: 6 February 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.01.008

zbMATH Keywords

periodic orbittopological entropyspecification propertygluing orbit propertyKomuro expansiveness

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Orbit growth in dynamical systems (37C35) Topological entropy (37B40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (15)

Unique ergodicity for zero-entropy dynamical systems with the approximate product property ⋮ On the entropy of flows with reparametrized gluing orbit property ⋮ On the periodic orbits, shadowing and strong transitivity of continuous flows ⋮ On the entropy of continuous flows with uniformly expansive points and the globalness of shadowable points with gaps ⋮ The centralizer of $C^r$-generic diffeomorphisms at hyperbolic basic sets is trivial ⋮ Ergodic optimization for hyperbolic flows and Lorenz attractors ⋮ Gluing orbit property and partial hyperbolicity ⋮ The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ Unnamed Item ⋮ On the rotation sets of generic homeomorphisms on the torus ⋮ Topological aspects of incompressible flows ⋮ Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures ⋮ Zero-entropy dynamical systems with the gluing orbit property ⋮ Beyond Bowen’s Specification Property

Cites Work

• Unnamed Item
• On intrinsic ergodicity and weakenings of the specification property
• Non-uniformly hyperbolic flows and shadowing
• Unique equilibrium states for flows and homeomorphisms with non-uniform structure
• An analogue of the variational principle for group and pseudogroup actions
• Generic measures for geodesic flows on nonpositively curved manifolds
• Non-uniform specification and large deviations for weak Gibbs measures
• The ergodic theory of axiom A flows
• Ergodic theory on compact spaces
• On the periodic orbits, shadowing and strong transitivity of continuous flows
• Periodic probability measures are dense in the set of invariant measures
• Diffeomorphisms with various \(C^1\) stable properties
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Polynomial decay of correlations for a class of smooth flows on the two torus
• Partial hyperbolicity and specification
• Non-uniform hyperbolicity and non-uniform specification
• Multifractal analysis of the irregular set for almost-additive sequences via large deviations
• Specification and partial hyperbolicity for flows
• The irregular set for maps with the specification property has full topological pressure
• Approximation properties on invariant measure and Oseledec splitting in non-uniformly hyperbolic systems
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• On almost specification and average shadowing properties
• Entropy for Group Endomorphisms and Homogeneous Spaces
• On the Space of Invariant Measures for Hyperbolic Flows

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