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

Philos Trans A Math Phys Eng Sci

Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, 06071 Badajoz, Spain.

Published: September 2006

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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http://dx.doi.org/10.1098/rsta.2006.1828DOI Listing

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