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Melnikov method approach to control of homoclinic and heteroclinic chaos by weak harmonic excitations

Ricardo Chacon
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Abstract

A review on the application of Melnikov's method to control homoclinic and heteroclinic chaos in low-dimensional, non-autonomous and dissipative, oscillator systems by weak harmonic excitations is presented, including diverse applications such as chaotic escape from a potential well, chaotic solitons in Frenkel-Kontorova chains, and chaotic charged particles in the field of an electrostatic wave packet.

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Ricardo Chacon. 2004-11-25. Melnikov method approach to control of homoclinic and heteroclinic chaos by weak harmonic excitations. https://arxiv.org/abs/nlin/0411052

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