SCALING RELATIONS FOR FORCED OSCILLATORS AT THE TRANSITION FROM A DISSIPATIVE TO A HAMILTONIAN SYSTEM

Authors
FLENSBERG K SVENSMARK H
Citation
K. Flensberg et H. Svensmark, SCALING RELATIONS FOR FORCED OSCILLATORS AT THE TRANSITION FROM A DISSIPATIVE TO A HAMILTONIAN SYSTEM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(3), 1993, pp. 2190-2192
Citations number
10
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
47
Issue
3
Year of publication
1993
Pages
2190 - 2192
Database
ISI
SICI code
1063-651X(1993)47:3<2190:SRFFOA>2.0.ZU;2-T
Abstract
The dynamics and the stability of a forced damped nonlinear oscillator driven at twice its resonance frequency are studied. At the transitio n from a dissipative system to a Hamiltonian system, simple scalings r elations are found by the use of the Floquet theory of the linearized problem. The Floquet exponents and the period-doubling bifurcation poi nt are determined analytically in the limit of small damping. The theo ry is compared to numerical calculations on a Duffing oscillator and e xcellent agreement is found.