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

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

2004-11-25

arxiv.org/abs/nlin/0411052v1

Nonlinear Sciences

Chaotic Dynamics

21 pages, invited review

Scientific paper

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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