Affiliation:
1. Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de ExtremaduraApartado Postal 382, 06071 Badajoz, Spain
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.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Reference65 articles.
1. Control of a system with a strange attractor through periodic parametric action;Alekseev V.V;Sov. Phys. Dokl,1987
2. Taming Winfree Turbulence of Scroll Waves in Excitable Media
3. Instability of dynamical systems with many degrees of freedom;Arnold V.I;Sov. Math. Dokl,1964
4. Arrowsmith D.K& Place C.M An introduction to dynamical systems. 1990 Cambridge UK:Cambridge University Press.
5. Controlling chaos in spin-wave instabilities
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