Invariant tori in Hamiltonian systems with impacts

DOI10.1007/s002200050813zbMath0956.37027OpenAlexW2142838900MaRDI QIDQ1581629

Vadim Zharnitsky

Publication date: 8 October 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050813

zbMATH Keywords

quasiperiodic solutionsconvex billiardsFermi-Ulam systemsHamiltonian systems of billiard type

Mathematics Subject Classification ID

Related Items (23)

Existence of periodic solutions of sublinear Hamiltonian systems ⋮ Quasi-periodic solutions and homoclinic bifurcation in an impact inverted pendulum ⋮ Periodic impact behavior of a class of Hamiltonian oscillators with obstacles ⋮ Invariant tori for asymptotically linear impact oscillators ⋮ On Near Integrability of Some Impact Systems ⋮ Point-vortex stability under the influence of an external periodic flow ⋮ Boundedness of solutions for a class of impact oscillators with time-dependent polynomial potentials ⋮ Existence of invariant curves for a Fermi-type impact absorber ⋮ Impact oscillators of Hill's type with indefinite weight: periodic and chaotic dynamics ⋮ Stability analysis of the breathing circle billiard ⋮ Violation of adiabaticity in magnetic billiards due to separatrix crossings ⋮ Generalized nonsmooth saddle point theorem and its applications on second order Hamiltonian systems ⋮ Non-uniform ergodic properties of Hamiltonian flows with impacts ⋮ Existence of quasiperiodic solutions and Littlewood's boundedness problem of super-linear impact oscillators ⋮ Existence and multiplicity of solutions for a class of forced vibration problems with obstacles ⋮ Counting periodic trajectories of Finsler billiards ⋮ On a class of forced vibration problems with obstacles ⋮ Subharmonic solutions of sublinear second order systems with impacts ⋮ Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators ⋮ On a class of damped vibration problems with obstacles ⋮ Billiards and nonholonomic distributions ⋮ Whispering gallery orbits in Sinai oscillator trap ⋮ On a class of damped vibration problems with obstacles and without direct variational structures

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