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Get Free AccessThis paper investigates the role of the function x|x| as a chaos generator in nonautonomous systems. A Duffing-like nonautonomous oscillator is used for illustration. It is rigorously proven via the Melnikov function method that this particular quadratic function induces Smale horseshoes to the Duffing-like system. Moreover, its physical meaning as an energy function is demonstrated, which provides a critical value for the emergence of chaos. Simulations with bifurcation analysis are given for better understanding of the underlying dynamics.
K.S. Tang, K.F. Man, Guo‐Qun Zhong, Guanrong Chen (2001). Generating chaos via x|x|. IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications, 48(5), pp. 636-641, DOI: 10.1109/81.922468.
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Type
Article
Year
2001
Authors
4
Datasets
0
Total Files
0
Language
English
Journal
IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications
DOI
10.1109/81.922468
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