On the \(C^ 1\) stability conjecture for flows
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Publication:1923674
DOI10.1006/jdeq.1996.0121zbMath0866.58050OpenAlexW2072440226WikidataQ122941025 ScholiaQ122941025MaRDI QIDQ1923674
Publication date: 24 July 1997
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.0121
Related Items (35)
The $C^1$ closing lemma for nonsingular endomorphisms equivariant under free actions of finite groups ⋮ Ergodic optimization for some dynamical systems beyond uniform hyperbolicity ⋮ Robust chain transitive vector fields ⋮ Specification and partial hyperbolicity for flows ⋮ Discretizing the fold bifurcation - a conjugacy result ⋮ Structural stability of vector fields with shadowing ⋮ Shadowing in structurally stable flows ⋮ Rigidity result on conjugacies of families of diffeomorphisms ⋮ Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property ⋮ On the partial hyperbolicity of robustly transitive sets with singularities ⋮ Study on the Geometrical Properties and Existence of Orbit Homoclinic to a Saddle Point in n-Dimensional Autonomous Vector Field with Polynomials ⋮ Vector fields with topological stability ⋮ On the singular-hyperbolicity of star flows ⋮ On the growth rate of periodic orbits for vector fields ⋮ A rescaled expansiveness for flows ⋮ Inverse shadowing for structurally stable flows ⋮ \(C^1\)-stably expansive flows ⋮ Nonsingular star flows satisfy Axiom A and the no-cycle condition ⋮ Vector fields in the interior of Kupka-Smale systems satisfy Axiom A. ⋮ On Araujo's theorem for flows ⋮ Singular robustly chain transitive sets are singular volume partial hyperbolic ⋮ Star flows and multisingular hyperbolicity ⋮ Newhouse phenomenon and homoclinic classes ⋮ CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C1 VECTOR FIELDS ⋮ The star systems \({\mathcal H}^*\) and a proof of the \(C^1 \Omega\)-stability conjecture for flows ⋮ Criteria for \(C^r\) robust permanence ⋮ The dynamics of vector fields with singularities ⋮ Attractors and orbit-flip homoclinic orbits for star flows ⋮ Another proof for \(C^1\) stability conjecture for flows ⋮ A robustly chain transitive attractor with singularities of different indices ⋮ Morse-Smale systems and horseshoes for three dimensional singular flows ⋮ A basic \(C^1\) perturbation theorem ⋮ ON THE <i>F</i>-EXPANDING OF HOMOCLINIC CLASSES ⋮ Le «closing lemma» en topologie $C^1$ ⋮ On Mañé's proof of the \(C^1\) stability conjecture
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