Bifurcation structure of the Toda oscillator
- 1 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (3) , 1029-1031
- https://doi.org/10.1103/physreva.37.1029
Abstract
We present phase diagrams of the Toda oscillator x¨+dẋ+-1=f cos(ωt) showing the loci of local bifurcations of periodic orbits in the (ω,f) parameter plane at d=0.05. They indicate a specific recurrent structure in the bifurcation set which is typical for nonlinear oscillators and closely connected to the nonlinear resonances of the system.
Keywords
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