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Subharmonic resonances and criteria for escape and chaos in a driven oscillator

✍ Scribed by K.L. Janicki; W. Szemplińska-Stupnicka

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
608 KB
Volume
180
Category
Article
ISSN
0022-460X

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✦ Synopsis

Escape and chaos phenomena are investigated in the subharmonic region of frequencies of the twin-well potential Duffing system. Approximate periodic solutions are found for low order subharmonic resonances by using a near linear perturbation method. Then first and higher order instabilities of the solutions are examined. The theoretical results are applied to estimate escape regions in the parameter space of the system and compared with numerical simulations. Three scenarios of transitions between chaotic and regular motion are observed: period doubling cascade, type 3 intermittency and boundary crisis.

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