Diffusion speed in the Mather problem

DOI10.1088/0951-7715/19/11/007zbMath1190.37067OpenAlexW1966833811MaRDI QIDQ3417589

G. N. Piftankin

Publication date: 29 January 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/19/11/007

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (11)

Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion ⋮ Arnold diffusion in a priori chaotic symplectic maps ⋮ A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems ⋮ Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem ⋮ Fermi acceleration and adiabatic invariants for non-autonomous billiards ⋮ Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem ⋮ Arnold Diffusion in a Model of Dissipative System ⋮ A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold ⋮ Perturbations of geodesic flows by recurrent dynamics ⋮ Unbounded energy growth in Hamiltonian systems with a slowly varying parameter ⋮ Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument

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