The star systems \({\mathcal H}^*\) and a proof of the \(C^1 \Omega\)-stability conjecture for flows
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Publication:1566825
DOI10.1006/jdeq.1999.3731zbMath0973.37018OpenAlexW2074700719WikidataQ123242321 ScholiaQ123242321MaRDI QIDQ1566825
Publication date: 24 October 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1999.3731
Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamics induced by flows and semiflows (37C10) Stability theory for smooth dynamical systems (37C75)
Related Items (6)
Stability properties of divergence-free vector fields ⋮ On the limit quasi-shadowing property ⋮ Nonsingular star flows satisfy Axiom A and the no-cycle condition ⋮ Newhouse phenomenon and homoclinic classes ⋮ ON THE <i>F</i>-EXPANDING OF HOMOCLINIC CLASSES ⋮ On Mañé's proof of the \(C^1\) stability conjecture
Cites Work
- Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
- On the \(C^ 1\Omega\)-stability conjecture
- A proof of the \(C^ 1\) stability conjecture
- An ergodic closing lemma
- On the \(C^ 1\) stability conjecture for flows
- Structurally stable differential systems
- The \(\Omega\)-stability theorem for flows
- Expansive one-parameter flows
- The C1 Closing Lemma, including Hamiltonians
- Stability Properties of One-Parameter Flows
- The Closing Lemma
- An Improved Closing Lemma and a General Density Theorem
- Differentiable dynamical systems
- Necessary Conditions for Stability of Diffeomorphisms
- Periodic Orbits for Hyperbolic Flows
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