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On stochastic sea of the standard map (Q661311)

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Language	Label	Description	Also known as
English	On stochastic sea of the standard map	scientific article

Statements

scholarly article

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On stochastic sea of the standard map (English)

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zbMATH Open document ID

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10.1007/s00220-011-1365-z

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Communications in Mathematical Physics

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publication date

10 February 2012

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full work available at URL

https://arxiv.org/abs/1007.1474

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Mathematics Subject Classification ID

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zbMATH DE Number

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A. S. Gorodetskii

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MaRDI profile type

MaRDI publication profile

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Dynamiques symplectiques génériques

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Extension of zero-dimensional hyperbolic sets to locally maximal ones

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SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP

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Recurrence and genericity

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Mushrooms and other billiards with divided phase space

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Bers and Hénon, Painlevé and Schrödinger

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On separatrix splitting of some quadratic area-preserving maps of the plane

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The existence of transverse homoclinic points in the Sitnikov problem

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Geodesic flow on the two-sphere, Part I: Positive measure entropy

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Symbolic extensions and smooth dynamical systems

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Plenty of elliptic islands for the standard family of area preserving maps

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Abundance of elliptic isles at conservative bifurcations

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Persistent homoclinic tangencies for conservative maps near the identity

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Elliptic isles in families of area-preserving maps

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Splitting of separatrices: perturbation theory and exponential smallness

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Splitting of a small separatrix loop near the saddle-center bifurcation in area-preserving maps

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A proof of the exponentially small transversality of the separatrices for the standard map

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Conjugation to a shift and the splitting of invariant manifolds

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Borel summation and splitting of separatrices for the Hénon map

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Universal dynamics in a neighborhood of a generic elliptic periodic point

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Conditional stability and real analytic pseudo-Anosov maps

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Invariants of \(\Omega\)-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory

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Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps

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Conservative homoclinic bifurcations and some applications

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How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency

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Hyperbolic sets for twist maps

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Numerical study of quadratic area-preserving mappings

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Nearly linear mappings and their applications

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Oscillatory solutions in the planar restricted three-body problem

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A relation between Lyapunov exponents, Hausdorff dimension and entropy

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Hausdorff dimension for horseshoes

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Cerbelli and Giona's map is pseudo-Anosov and nine consequences

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Stable intersections of Cantor sets and homoclinic bifurcations

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Stable and Random Motions in Dynamical Systems

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A stable manifold theorem for degenerate fixed points with applications to celestial mechanics

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Diffeomorphisms with infinitely many sinks

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The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms

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Hyperbolicity and the creation of homoclinic orbits

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Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles

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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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Examples of conservative diffeomorphisms of the two-dimensional torus with coexistence of elliptic and stochastic behaviour

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Bifurcation to infinitely many sinks

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The Structure of Local Homeomorphisms, III

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Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps

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How often do simple dynamical processes have infinitely many coexisting sinks?

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A model problem with the coexistence of stochastic and integrable behaviour

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Melnikov method and transversal homoclinic points in the restricted three-body problem

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Sitelinks

Mathematics(1 entry)

mardi Publication:661311

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