The Lyapunov exponents of generic zero divergence three-dimensional vector fields
From MaRDI portal
Publication:5424913
DOI10.1017/S0143385707000107zbMath1129.37010MaRDI QIDQ5424913
Publication date: 7 November 2007
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)
Related Items (20)
Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions ⋮ Generic Hamiltonian Dynamical Systems: An Overview ⋮ The flowbox theorem for divergence-free Lipschitz vector fields ⋮ On \(C^1\)-generic chaotic systems in three-manifolds ⋮ Hyperbolicity or zero Lyapunov exponents for \(C^2\)-Hamiltonians ⋮ Most invariant manifolds of conservative systems have transitive closure ⋮ Lyapunov exponents for linear homogeneous differential equations ⋮ On the entropy of conservative flows ⋮ Lyapunov exponents and entropy for divergence-free Lipschitz vector fields ⋮ Abundance of elliptic dynamics on conservative three-flows ⋮ A generic incompressible flow is topological mixing ⋮ Generic Hamiltonian dynamics ⋮ The Lyapunov exponents of generic skew-product compact semiflows ⋮ Straighten out coordinates for volume-preserving actions ⋮ Hamiltonian elliptic dynamics on symplectic $4$-manifolds ⋮ A characterization of singular-hyperbolicity ⋮ Generic dynamics of 4-dimensional \(C^{2}\) Hamiltonian systems ⋮ On the Lagrange and Markov dynamical spectra for Anosov flows in dimension 3 ⋮ C1-generic symplectic diffeomorphisms: partial hyperbolicity and zero centre Lyapunov exponents ⋮ Contributions to the geometric and ergodic theory of conservative flows
Cites Work
This page was built for publication: The Lyapunov exponents of generic zero divergence three-dimensional vector fields