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THE COEXISTENCE OF PERIODIC, ALMOST-PERIODIC AND CHAOTIC ATTRACTORS IN THE VAN DER POL-DUFFING OSCILLATOR

✍ Scribed by W. Szemplińska-Stupnicka; J. Rudowski

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
367 KB
Volume
199
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper are presented the computer simulation and the approximate theoretical analysis of the behaviour of the van der Pol-Duffing forced oscillator at the passage through principal resonance, at increasing and decreasing driving frequency. Almostperiodic oscillations, frequency locking, transition to chaotic motion and the jump from the non-resonant to the resonant state are observed and interpreted in the light of approximate analytical theory and by the use of topological concepts.

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