Analysis method of chaos and sub-harmonic resonance of nonlinear system without

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AX]0[/{4@Qb)@0Analysis method of chaos and sub-harmonic resonance of nonlinear system without small parameters水利论文 ~ gp:F$P c3n7aw

P`Fn yJ0}8iJa0Abstract:The Melnikov method is important for detecting the presence of transverse homoclinic orbits and the occurrence of homoclinic bifurcations. Unfortunately, the traditional Melnikov methods strongly depend on small parameters, which do not exist in most practical systems. Those methods are limited in dealing with the systems with strong nonlinearities. This paper presents a procedure to study the chaos and sub-harmonic resonance of strongly nonlinear practical systems by employing a homotopy method that is used to extend the Melnikov functions to the strongly nonlinear systems. Applied to a given example, the procedure shows the effectiveness via the comparison of the theoretical results and the numerical simulation.

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Yan-bin LIU Yu-shu CHEN Qing-jie CAO水利论文m4lel`K&e

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School of Astronautics, Harbin Institute of Technology, Harbin 150001, P.R.China

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期 刊:

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p+k m _*V0应用数学和力学(英文版)水利论文K_!H2K d?

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Kc4_$Et*^iI0APPLIED MATHEMATICS AND MECHANICS水利论文3oX*e,G|+LX#C7L

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"B%Ff'b*|]02011, 32(1)水利论文$W2JA!^*R

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homotopy analysis

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Melnikov function水利论文 h3E:dA2^aeE

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Xs*iJ/Hm!H9{0sub-harmonic resonance水利论文7I~~ b;}J?,[8D

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%tGt_ \0xo0small nonlinear system method of practical homoclinic orbits Melnikov method homotopy method effectiveness traditional comparison presents results limited extend study paper exist via水利论文z}8iB z&D

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O6S2vE+T&oXB5Vqx8|0the National Natural Science Foundation of China水利论文O$cw#y$R

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