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Generic Hamiltonian Dynamical Systems: An Overview (Q2908420)

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Language	Label	Description	Also known as
English	Generic Hamiltonian Dynamical Systems: An Overview	scientific article

Statements

scholarly article

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Generic Hamiltonian Dynamical Systems: An Overview (English)

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João Lopes Dias

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Dynamics, Games and Science I

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publication date

5 September 2012

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zbMATH Keywords

Hamiltonian systems

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generic properties

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\(C^2\) Hamiltonian dynamical systems

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perturbations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-642-11456-4_8

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A pasting lemma and some applications for conservative systems

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The generic symplectic C^{1}-diffeomorphisms of four-dimensional symplectic manifolds are hyperbolic, partially hyperbolic or have a completely elliptic periodic point

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Le «closing lemma» en topologie $C^1$

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Dynamiques symplectiques génériques

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The Lyapunov exponents of generic zero divergence three-dimensional vector fields

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A generic incompressible flow is topological mixing

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Generic dynamics of 4-dimensional \(C^{2}\) Hamiltonian systems

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Hamiltonian elliptic dynamics on symplectic $4$-manifolds

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Abundance of elliptic dynamics on conservative three-flows

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On \(C^1\)-robust transitivity of volume-preserving flows

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On the stability of the set of hyperbolic closed orbits of a Hamiltonian

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Genericity of zero Lyapunov exponents

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<i>C</i><sup>1</sup>-generic symplectic diffeomorphisms: partial hyperbolicity and zero centre Lyapunov exponents

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Dichotomies between uniform hyperbolicity and zero Lyapunov exponents for \(SL(2,\mathbb R )\) cocycles

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The Lyapunov exponents of generic volume-preserving and symplectic maps

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Recurrence and genericity

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Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective

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Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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Partial hyperbolicity for symplectic diffeomorphisms

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Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor

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Generic Hamiltonian dynamical systems are neither integrable nor ergodic

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Persistence of homoclinic tangencies for area-preserving maps

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On the Volume Elements on a Manifold

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Quasi-Elliptic Periodic Points in Conservative Dynamical Systems

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Measure-preserving homeomorphisms and metrical transitivity

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Open questions leading to a global perspective in dynamics

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On structural stability

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Structural stability on two-dimensional manifolds

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The <i>C</i><sup>1</sup> Closing Lemma, including Hamiltonians

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Generic Properties of Conservative Systems

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Partial hyperbolicity or dense elliptic periodic points for 𝐶¹-generic symplectic diffeomorphisms

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Identifiers

zbMATH Open document ID

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10.1007/978-3-642-11456-4_8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2908420

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