Relative effectiveness of weak periodic excitations in suppressing homoclinic/heteroclinic chaos

R. Chacón
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R. Chacón: Departamento de Electrónica e Ingeniería Electromecánica, Escuela de Ingenierías Industriales, Universidad de Extremadura, 06071 Badajoz, Spain

The European Physical Journal B: Condensed Matter and Complex Systems, 2002, vol. 30, issue 2, 207-210

Abstract: Abstract: Melnikov-method-based theoretical results are demonstrated concerning the relative effectiveness of any two weak excitations in suppressing homoclinic/heteroclinic chaos of a relevant class of dissipative, low-dimensional and non-autonomous systems for the main resonance between the chaos-inducing and chaos-suppressing excitations. General analytical expressions are derived from the analysis of generic Melnikov functions providing the boundaries of the regions as well as the enclosed area in the amplitude/initial phase plane of the chaos-suppressing excitation where homoclinic/heteroclinic chaos is inhibited. The relevance of the theoretical results on chaotic attractor elimination is confirmed by means of Lyapunov exponent calculations for a two-well Duffing oscillator.

Keywords: PACS. 05.45.Ac Low-dimensional chaos – 05.45.Pq Numerical simulations of chaotic models – 05.45.Gg Control of chaos; applications of chaos (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1140/epjb/e2002-00375-6

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