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Melnikov chaos in a periodically driven Rayleigh–Duffing oscillator

✍ Scribed by M. Siewe Siewe; C. Tchawoua; P. Woafo

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
941 KB
Volume
37
Category
Article
ISSN
0093-6413

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✦ Synopsis

The chaotic behavior of Duffing-Rayleigh oscillator under harmonic external excitation is investigated. Melnikov technique is used to detected the necessary conditions for chaotic motion of this deterministic system. The results show that the shape of the basin boundaries of attraction are fractals as the damping increases above the threshold of Melnikov chaos. The effect of damping parameter on phase portraits and Poincaré maps, in addition to the numerical simulations of bifurcation diagram and maximum Lyapunov exponents is also investigated.

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