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2007 Volume 16 Issue 2
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Lü Ling, Luan Ling, Guo Zhi-An. 2007: Synchronization of chaotic systems with different orders, Chinese Physics B, 16(2): 346-351.
Citation: Lü Ling, Luan Ling, Guo Zhi-An. 2007: Synchronization of chaotic systems with different orders, Chinese Physics B, 16(2): 346-351.
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Synchronization of chaotic systems with different orders

  • College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

  • Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China

  • Available Online: 28/02/2007
  • Fund Project: the National Natural Science Foundation of China(Grant 20373021)%Natural Science Foundation of Liaoning Province(Grant 20052151)
  • A controller is designed to realize the synchronization between chaotic systems with different orders. The structure of the controller, the error equations and the Lyapunov functions are determined based on stability theory. Hyperchaotic Chen system and Rossler system are taken for example to demonstrate the method to be effective and feasible. Simulation results show that all the state variables of Rossler system can be synchronized with those of hyperchaotic Chen system by using only one controller, and the error signals approach zero smoothly and quickly.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Synchronization of chaotic systems with different orders

  • Available Online: 28/02/2007

Abstract: A controller is designed to realize the synchronization between chaotic systems with different orders. The structure of the controller, the error equations and the Lyapunov functions are determined based on stability theory. Hyperchaotic Chen system and Rossler system are taken for example to demonstrate the method to be effective and feasible. Simulation results show that all the state variables of Rossler system can be synchronized with those of hyperchaotic Chen system by using only one controller, and the error signals approach zero smoothly and quickly.

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