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AN ANALYTICAL AND NUMERICAL STUDY OF A MODIFIED VAN DER POL OSCILLATOR

✍ Scribed by E.J. DOEDEL; E. FREIRE; E. GAMERO; A.J. RODRÍGUEZ-LUIS

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
251 KB
Volume
256
Category
Article
ISSN
0022-460X

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✦ Synopsis

A three-dimensional system of di!erential equations that models an electronic oscillator is considered. The equations allow a variety of periodic orbits that originate from a degenerate Hopf bifurcation, which is analytically studied. Numerical results are presented that show the existence of saddle-node cusps of periodic orbits, as well as period-doubling bifurcations, that result in the coexistence of multiple &&canard'' orbits if one of the parameters is small. The presence of chaotic attractors is also detected.

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