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Chaos in periodically driven dissipative zero-dispersion systems.

Research output: Contribution in Book/Report/ProceedingsChapter


Publication date1997
Host publicationNoise in Physical Systems and 1/f Fluctuations
EditorsC. Claes, E. Simoen
Place of PublicationSingapore
PublisherWorld Scientific
Number of pages4
ISBN (Print)981-02-3141-5
<mark>Original language</mark>English


An archetypal zer<>:-dispersionsystem, the tilted Duffing oscillator (TDO), is studied for weak dissipation under the action of a periodic force of intermediate amplitude, small enough for resonances to be possible but large enough for chaos to be possible too. It is found that, as in Hamiltonian systems, an overlap of resonances of different orders is important for the onset of chaos. The onset of chaos is also facilitated by certain global bifurcations of the averaged system.

Bibliographic note

From Proceedings of the 14th International Conference on Noise in Physical Systems and 1/f Fluctuations, Leuven, 14-18 July 1997.