Organization of periodic orbits in the driven Duffing oscillator
- 1 August 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 38 (3) , 1566-1572
- https://doi.org/10.1103/physreva.38.1566
Abstract
The global organization of the periodic orbits in the periodically driven Duffing oscillator is described in terms of the relative rotation rates of pairs of orbits. We compare this organization with that determined by the second return of a horseshoe map and find a complete agreement, up to the global torsion, for all orbit pairs and all the regions of the bifurcation diagram studied. In addition, we characterize topologically different flows in the Duffing family by their global torsion.Keywords
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