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The Forced van der Pol Equation II: Canards in the Reduced System

✍ Scribed by Bold, Katherine; Edwards, Chantal; Guckenheimer, John; Guharay, Sabyasachi; Hoffman, Kathleen; Hubbard, Judith; Oliva, Ricardo; Weckesser, Warren


Book ID
118203777
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
981 KB
Volume
2
Category
Article
ISSN
1536-0040

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πŸ“œ SIMILAR VOLUMES


Quasiperiodic phenomena in the Van der P
✍ F. Veerman; F. Verhulst πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 493 KB

The Van der Pol-Mathieu equation, combining self-excitation and parametric excitation, is analysed near and at 1:2 resonance, using the averaging method. We analytically prove the existence of stable and unstable periodic solutions near the parametric resonance frequency. Above a certain detuning th