Abstract
The dynamics and the stability of a forced damped nonlinear oscillator driven at twice its resonance frequency is studied. At the transition from a dissipative system to a Hamiltonian system, simple scalings relations are found by the use of the Floquet theory of the linearized problem. The Floquet exponents and the period-doubling bifurcation point are determined analytically in the limit of small damping. The theory is compared to numerical calculations on a Duffing oscillator and excellent agreement is found.
| Original language | English |
|---|---|
| Journal | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) |
| Volume | 47 |
| Issue number | 3 |
| Pages (from-to) | 2190-2192 |
| Number of pages | 3 |
| ISSN | 1539-3755 |
| DOIs | |
| Publication status | Published - 1 Mar 1993 |