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

摘要

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