AN ANALYTICAL AND NUMERICAL STUDY OF A MODIFIED VAN DER POL OSCILLATOR |
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Authors: | EJ DOEDELE FREIRE E GAMEROAJ RODRÍGUEZ-LUIS |
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Institution: | a Computer Science Department, Concordia University, Montreal, Canadab Department of Applied Mathematics II, Escuela Superior de Ingenieros, University of Sevilla, 41092, Sevilla, Spainf1alejan@matina.us.esf1 |
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Abstract: | A three-dimensional system of differential 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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