Unstable periodic orbit detection for ODEs with periodic forcing. (English) Zbl 1236.34060
Summary: The Davidchack-Lai iterative scheme for the complete detection of unstable periodic orbits (UPOs) in maps is applied to a second order, nonlinear ODE with periodic forcing. The modifications to the scheme required to apply it to ODEs are detailed before the results for a particular example, the varactor equation, are given.
MSC:
| 34C25 | Periodic solutions to ordinary differential equations |
| 34C28 | Complex behavior and chaotic systems of ordinary differential equations |
References:
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