On the classical dynamics of strongly driven anharmonic oscillators

DOI10.1016/0167-2789(90)90096-8zbMath0725.58016OpenAlexW1974948604MaRDI QIDQ2276819

Martin Holthaus, Klaus Dietz, Heinz-Peter Breuer

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90096-8

zbMATH Keywords

KAM theoryadiabatic invariantsperiodic Hamiltonianchaotic and regular motion

Mathematics Subject Classification ID

Topological dynamics (37B99) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Adiabatic perturbation theory and geometry of periodically-driven systems ⋮ The regularity-chaos-regularity transition in a periodically driven anharmonic oscillator ⋮ On the classical-quantum correspondence for periodically time dependent systems ⋮ A semiclassical theory of quasienergies and Floquet wave functions ⋮ Harmonic Generation by Strongly Driven Classical Anharmonic Oscillators

Cites Work

• Unnamed Item
• Unnamed Item
• A renormalization approach to invariant circles in area-preserving maps
• Transport in Hamiltonian systems
• Extended chaos and disappearance of KAM trajectories
• External field induced chaos in an infinite square well potential
• Statistics of integral convex polygons
• Regular and stochastic motion
• Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory

This page was built for publication: On the classical dynamics of strongly driven anharmonic oscillators