A New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation

被引：0
作者：
Diyi Chen
Chengfu Liu
Cong Wu
Yongjian Liu
Xiaoyi Ma
Yujing You
机构：
[1] Northwest A&F University,Department of Electrical Engineering
[2] Yulin Normal University,School of Mathematics and Information Science
来源：
Circuits, Systems, and Signal Processing | 2012年 / 31卷
关键词：
Fractional-order; Chaos; Synchronization; Circuit simulation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new fractional-order chaotic system is proposed in this paper, and a list of state trajectories is presented with fractional derivative of different areas. Furthermore, a circuit diagram is studied to realize the fractional-order chaotic system. The new fractional-order chaotic system can be controlled to reach synchronization based on the nonlinear control theory, and the results between numerical emulation and circuit simulation are in agreement with each other.
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页码：1599 / 1613
页数：14
相关论文
共 64 条
  • [1] Ahmed E.(2007)Equilibrium points, stability and numerical solutions of fractional order predator–prey and rabies models J. Math. Anal. Appl. 325 542-553
  • [2] El-Sayed A.M.A.(2008)Bifurcation and chaos in the fractional-order Chen system via a time-domain approach Int. J. Bifurc. Chaos 18 1845-1863
  • [3] El-Saka H.A.A.(2011)Chaos synchronization of fractional order unified chaotic system via nonlinear control Int. J. Mod. Phys. B 25 407-415
  • [4] Cafagna D.(2006)Generating hyperchaotic Lü attractor via state feedback control Physica A 364 103-110
  • [5] Grassi G.(2012)Synchronization and circuit simulation of a new double-wing chaos Nonlinear Dyn. 67 1481-1504
  • [6] Chen X.R.(2005)Chaos synchronization of the fractional Lü system Physica A, Stat. Mech. Appl. 353 61-72
  • [7] Liu C.X.(2010)Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems Commun. Nonlinear Sci. Numer. Simul. 15 115-123
  • [8] Chen A.M.(2004)Chaos and hyperchaos in the fractional-order Rossler equations Physica A, Stat. Mech. Appl. 341 55-61
  • [9] Lu J.N.(2007)A hyperchaotic system and its fractional order circuit simulation Acta Phys. Sin. 56 6865-6873
  • [10] Lü J.H.(2010)A novel fractional-order hyperchaotic system and its circuit realization Int. J. Mod. Phys. B 24 1299-1307
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