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| Chaotic Systems with Adjustable Attractors and Their Synchronization Control |
| YAN Minxiua,b, XIE Junhongb
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| a. College of Information Engineering; b. Key Laboratory for Industrial Environment-Resources Cooperative Control and OptimizationTechnology (University of Liaoning Province), Shenyang University of Chemical Technology, Shenyang 110142, China |
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Abstract The coexistence of attractors in chaotic systems can enhance the security of synchronous communication. Therefore, it is meaningful to establish a chaotic system with the coexistence of attractors. The hyperbolic tangent function is added to the new chaotic system, and the coexistence with infinite attractors is generated by expanding the equilibrium point of the system. The number of attractors generated by this method is adjustable. In addition, the global feedback control law is designed to realize the synchronization of the system. Theoretical research and numerical simulation results verify the effectiveness of the synchronization method. The chaotic system with adjustable attractors has more complex dynamic behavior, so it has good application value in the field of synchronous communication.
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Received: 26 July 2021
Published: 09 January 2023
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