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| Dynamical Analysis and Global Exponential Synchronization of the Generalized Lorenz-Stenflo Chaotic System |
| ZHANG Fuchen1, CHEN Song1, ZHOU Wenjing1, XIAO Min2
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1. a. School of Mathematics and Statistics; b. Chongqing Key Laboratory of Statistical and Intelligent Computing and Monitoring, Chongqing Technology and Business University, Chongqing 400067, China;
2. a. College of Automation; b. College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China |
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Abstract In order to discover new chaotic systems, the generalized Lorenz-Stenflo chaotic system is constructed based on the Lorenz-Stenflo chaotic system by adding the disturbance parameters. The basic chaotic characteristics of this system are analyzed by means of the dissipation, equilibrium point and stability, bifurcation diagram and Lyapunov exponential spectrum. Based on Lyapunov stability theory, the analytical expression of the global exponential attractive set of the system is given. The global exponential synchronization is achieved by adding linear feedback control to two generalized Lorenz-Stenflo systems by using the estimator of system solution boundness. Finally, the numerical simulation of the synchronization process is carried out, and the computer simulation results confirm the theoretical feasibility of global exponential synchronization.
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Received: 05 September 2023
Published: 09 October 2025
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