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首页> 外文期刊>Chinese Journal of Physics >Modeling nonlinear dissipative chemical dynamics by a forced modified Van der Pol-Duffing oscillator with asymmetric potential: Chaotic behaviors predictions
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Modeling nonlinear dissipative chemical dynamics by a forced modified Van der Pol-Duffing oscillator with asymmetric potential: Chaotic behaviors predictions

机译:具有不对称潜力的强制改进的范德隆振荡振荡器建模非线性耗散化学动力学:混沌行为预测

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摘要

This paper addresses the issues of nonlinear chemical dynamics modeled by a modified Van der Pol-Duffing oscillator with asymmetric potential. The Melnikov method is utilized to analytically determine the domains boundaries where Melnikov's chaos appears in chemical oscillations. Routes to chaos are investigated through bifurcations structures, Lyapunov exponent, phase portraits and Poincare section. The effects of parameters in general and in particular the effect of the constraint parameter beta which shows the difference between a nonlinear chemical dynamics order two differential equation and ordinary Van der Pol-Duffing equation are analyzed. Results of analytical investigations are validated and complemented by numerical simulations.
机译:本文介绍了通过具有不对称潜力的改进的范德隆隆振荡器建模的非线性化学动力学问题。 Melnikov方法用于分析地确定梅尔尼科夫混乱出现化学振荡的域界限。 通过分叉结构,Lyapunov指数,相位肖像和庞卡雷部分来调查混乱的路线。 分析了参数的影响,特别是分析了表示非线性化学动力学顺序两个微分方程和普通范德波德夫传输方程的差异的约束参数β的效果。 通过数值模拟验证分析研究结果并补充。

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