Arnold Diffusion in a Model of Dissipative System (Q6132789)

scientific article; zbMATH DE number 7729133

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English	Arnold Diffusion in a Model of Dissipative System	scientific article; zbMATH DE number 7729133

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instance of

scholarly article

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title

Arnold Diffusion in a Model of Dissipative System (English)

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SIAM Journal on Applied Dynamical Systems

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publication date

17 August 2023

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full work available at URL

https://arxiv.org/abs/2206.14878

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zbMATH Keywords

Arnold diffusion

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Hamiltonian systems

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dissipative perturbations

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scattering map

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conformally symplectic system

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MaRDI profile type

MaRDI publication profile

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cites work

Q5508817

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Some properties of locally conformal symplectic structures

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A functional analysis approach to Arnold diffusion

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Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders

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Unbounded growth of energy in nonautonomous Hamiltonian systems

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A KAM theory for conformally symplectic systems: efficient algorithms and their validation

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Local behavior near quasi-periodic solutions of conformally symplectic systems

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Weakly Dissipative Systems in Celestial Mechanics

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Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem

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Q4285310

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Variational approach to Arnold diffusion

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Arnold diffusion in Hamiltonian systems: a priori unstable case

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A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\)

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A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model

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Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows.

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Geometric properties of the scattering map of a normally hyperbolic invariant manifold

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Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems

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Geography of resonances and Arnold diffusion ina prioriunstable Hamiltonian systems

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Arnold diffusion for a complete family of perturbations

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Arnold diffusion for a complete family of perturbations with two independent harmonics

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Q4771890

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Perturbations of geodesic flows by recurrent dynamics

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Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations

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Global effect of non-conservative perturbations on homoclinic orbits

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Melnikov method for non-conservative perturbations of the restricted three-body problem

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A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results

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Diffusing orbits along chains of cylinders

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Diffusion along transition chains of invariant tori and Aubry–Mather sets

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Invariant manifolds and the parameterization method in coupled energy harvesting piezoelectric oscillators

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Unbounded energy growth in Hamiltonian systems with a slowly varying parameter

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Arnold diffusion in a priori chaotic symplectic maps

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Invariant manifolds

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An analytical solution to the equation of motion for the damped nonlinear pendulum

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Arnold diffusion for smooth convex systems of two and a half degrees of freedom

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Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom

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Arnold diffusion. I: Announcement of results

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Arnold Diffusion by Variational Methods

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A magnetoelastic strange attractor

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Q3754936

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Diffusion speed in the Mather problem

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Viscoelastic tides: models for use in Celestial Mechanics

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Evolution of slow variables ina prioriunstable Hamiltonian systems

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Arnold diffusion far from strong resonances in multidimensionala prioriunstable Hamiltonian systems

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Covering relations, cone conditions and the stable manifold theorem

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6132789