Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Unbounded growth of energy in nonautonomous Hamiltonian systems - MaRDI portal

Unbounded growth of energy in nonautonomous Hamiltonian systems

From MaRDI portal
Publication:4265698

DOI10.1088/0951-7715/12/2/013zbMath0989.37050OpenAlexW2084004466MaRDI QIDQ4265698

Sergey V. Bolotin, Dmitrij V. Treshev

Publication date: 5 August 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/2/013



Related Items

Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion, Arnold diffusion in a priori chaotic symplectic maps, Arnold diffusion of charged particles in ABC magnetic fields, Adiabatic invariants, diffusion and acceleration in rigid body dynamics, Topological shadowing methods in arnold diffusion: weak torsion and multiple time scales, Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, 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, A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes, Arnold Diffusion in a Model of Dissipative System, Arnold diffusion in multidimensional convex billiards, Chaplygin top with a periodic gyrostatic moment, Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, The diffusion rate in the Mather problem, Unnamed Item, Tunable transport with broken space-time symmetries, Perturbations of geodesic flows by recurrent dynamics, Unbounded energy growth in Hamiltonian systems with a slowly varying parameter, Arnol′d Diffusion in a Pendulum Lattice, Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument, The dynamics of pseudographs in convex Hamiltonian systems, Drift by coupling to an anti-integrable limit, Variational construction of unbounded orbits in Lagrangian systems, Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows., Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation, A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results, The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration, Energy growth for a nonlinear oscillator coupled to a monochromatic wave, Normal forms and averaging in an acceleration problem in nonholonomic mechanics, Hyperbolic tori in Hamiltonian systems with slowly varying parameter, Diffusing orbits along chains of cylinders, Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems, Hamiltonian systems with orbits covering densely submanifolds of small codimension