Melnikov method approach to control of homoclinic/heteroclinic chaos by weak harmonic excitations.
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.
Chacón
Ricardo
R
Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, 06071 Badajoz, Spain. rchacon@unex.es
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D007700:Kinetics; D019563:Mechanics; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D013598:Systems Theory