文章基本信息

标题：Effect of Different Forms of Periodic Piecewise Linear Forces on Duffing Oscillator
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作者：S. V. Priyatharsini ; B. Bhuvaneshwari ; V. Chinnathambi 等
期刊名称：Journal of Scientific Research
印刷版ISSN：2070-0237
电子版ISSN：2070-0245
出版年度：2021
卷号：13
期号：2
页码：361-375
DOI：10.3329/jsr.v13i2.49503
出版社：Rajshahi University
其他摘要：The paper highlights the effect of different forms of periodic piecewise linear forces in the ubiquitous Duffing oscillator equation. The external periodic piecewise linear forces considered are Triangular, Hat, Trapezium, Quadratic and Rectangular. With the aid of some numerical simulation tools such as bifurcation diagram, phase portrait and Poincare´ map, the different routes to chaos and various strange attractors are found to occur due to the applied forces. The effect of an ε-parametric control force in the Duffing system is also analyzed. To characterize the regular and chaotic behaviours of this system, the maximal Lyapunov exponent is employed.
关键词：Duffing oscillator; Piecewise linear force; Routes to chaos; Strange attractors; Chaos.