A Melnikov Method for Strongly Odd Nonlinear Oscillators
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概要
- 論文の詳細を見る
In this paper, explicit calculations that extend the applicability of the Melnikov method to include strongly odd nonlinear and large forcing amplitude oscillating systems, are presented. We consider the response of the strongly nonlinear oscillating system governed by an equation of motion containing a parameter ε which need not be small. Phenomena considered are steady state response of strongly nonlinear oscillators subject to harmonic excitation. Two examples are given, they are the strongly nonlinear Duffing's equation and a pendulum suspended on a rotating arm. Finally, a adjustable factor is used to fit the simulation data. The theoretical chaotic behavior regiouas thus defined and plotted in the forcing amplitude versus parameter plane give the lower bounds for the true chaotic motion zones.
- 社団法人応用物理学会の論文
- 1998-03-15
著者
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Ge Zheng-Ming
Department of Mechanical Engineering, National Chiao Tung University
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Ge Zheng-ming
Department Of Mechanical Engineering Nation Chiao Tung University
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KU Fu-Neng
Department of Mechanical Engineering, National Chiao Tung University
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Ku Fu-neng
Department Of Mechanical Engineering National Chiao Tung University
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