A generic incompressible flow is topological mixing

DOI10.1016/j.crma.2008.07.012zbMath1157.37014OpenAlexW1972475990MaRDI QIDQ957559

Mário Bessa

Publication date: 28 November 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.07.012

zbMATH Keywords

divergence-free vector fieldscompact, connected Riemannian manifoldresidual subset existence with special property

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (25)

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Cites Work

• Unnamed Item
• On \(C^1\)-robust transitivity of volume-preserving flows
• The C¹ Closing Lemma, including Hamiltonians
• Regularisation C∞ des champs vectoriels qui préservent l'élément de volume
• Robust transitivity and topological mixing for 𝐶¹-flows
• 𝐶¹ Connecting Lemmas
• A pasting lemma and some applications for conservative systems
• The Lyapunov exponents of generic zero divergence three-dimensional vector fields
• On the Volume Elements on a Manifold
• Generic Properties of Conservative Systems
• Recurrence and genericity

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