Jump in adiabatic invariant at a transition between modes of motion for systems with impacts

DOI10.1088/0951-7715/21/4/002zbMath1157.70013OpenAlexW2031197113MaRDI QIDQ5458163

Igor Gorelyshev, Anatoly I. Neishtadt

Publication date: 11 April 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/21/4/002

zbMATH Keywords

asymptotic formulaquasi-random jump

Mathematics Subject Classification ID

Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (6)

On Near Integrability of Some Impact Systems ⋮ Near Tangent Dynamics in a Class of Hamiltonian Impact Systems ⋮ Violation of adiabaticity in magnetic billiards due to separatrix crossings ⋮ Change of the ray propagation mode in smoothly irregular waveguides ⋮ Complete orbits for twist maps on the plane: the case of small twist ⋮ On the structure of Hamiltonian impact systems

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