Chaos in a modified van der Pol system and in its fractional order systems |
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| Authors: | Zheng-Ming Ge An-Ray Zhang |
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| Institution: | aDepartment of Mechanical Engineering, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu 300, Taiwan, ROC |
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| Abstract: | Chaos in a modified van der Pol system and in its fractional order systems is studied in this paper. It is found that chaos exists both in the system and in the fractional order systems with order from 1.8 down to 0.8 much less than the number of states of the system, two. By phase portraits, Poincaré maps and bifurcation diagrams, the chaotic behaviors of fractional order modified van der Pol systems are presented. |
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