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| Analysis of fractional order nonlinear system based on Adomian decomposition method and realization of Lyapunov exponent algorithm |
| LEI Tengfei1,2, HE Jinman3,4, WANG Yanling1, ZANG Hongyan1, HUANG Lili1, FU Haiyan1 |
1.Collaborative Innovation Center of Memristive Computing Application, Qilu Institute of Technology, Jinan 250200, China;
2.Shandong Engineering Research Center of China-Germany Smart Factory Applied， Jinan 250200, China;
3.College of Science, Zhongyuan University of Technology, Zhengzhou 451191, China;
4.College of Aerospace Engineering Nanjing University of Aeronautics and Astronautics, Nangjing 210016, China |
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Abstract Here, for a fractional order Lü hyperchaotic system, its nonlinear term was decomposed using Adomian decomposition method, and the system’s phase diagram was obtained with the software MATLAB.Then, abundant dynamic characteristics of a 0.90 order fractional order Lü hyperchaotic system were analyzed and studied with numerical simulation of the system’s bifurcation diagram, spectral entropy (SE) complexity, C0 complexity, etc.At the same time, QR decomposition was adopted to do expansion of Lyapunov exponent calculation.MATLAB was used to do simulation, it was shown that Lyapunov exponent spectrum is consistent with the complexity.
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Received: 10 February 2020
Published: 15 June 2020
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