Computer Science ›› 2019, Vol. 46 ›› Issue (11A): 539-543.

• Interdiscipline & Application • Previous Articles     Next Articles

Dynamics and Complexity Analysis of Fractional-order Unified Chaotic System

YAN Bo1, HE Shao-bo2   

  1. (School of Computer Science and Technology,Hunan University of Arts and Science,Changde,Hunan 415000,China)1;
    (School of Physics and Electronics,Central South University,Changsha 410083,China)2
  • Online:2019-11-10 Published:2019-11-20

Abstract: Based on Adomian decomposition method (ADM),Lyapunov exponent spectrum,bifurcation diagram and attractor diagram,dynamics of the fractional-order unified chaotic system and the low of system state changing with its parameter and derivative order were analyzed,and the route from period state to chaos were observed.Moreover,complexity of fractional-order unified chaotic system was analyzed by means of C0 algorithm and Sample entropy algorithm.Through comparative analysis with the maximum Lyapunov exponent spectrum,it shows that the complexity analysis results are well consistent with the results of the maximum Lyapunov exponent spectrum dynamics in reflecting the dynamics of the fractional-order unified chaotic system,and the results of C0 algorithm is better than the results of Sample entropy algorithm.Finally,a pseudo random sequence generator was designed based on the fractional order unified chao-tic system.The test results show that it can pass all NIST tests,which laid an experimental basis for the practical applications of the fractional order unified chaotic system.

Key words: Adomian decomposition method, complexity, Fractional-order calculus, Pseudo-random sequence, Unified chaotic system

CLC Number: 

  • TP0415
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