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| Analysis and Simulations of a New Nonlinear Chaotic System |
| ZHOU Wenjing, ZHANG Fuchen
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| a. School of Mathematics and Statistics; b. Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring, Chongqing Technology and Business University, Chongqing 400067, China |
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Abstract In order to explore new chaos phenomenon and its producing mechanism, it is convenient for us to understand and apply chaos. A new kind of chaotic system is constructed by using chaos theory and we find that this system has rich nonlinear dynamic properties. Using nonlinear system theory and numerical simulation techniques, we study the attractors of this system and their dimensions, Lyapunov exponent, initial sensitivity, dissipation, bifurcation plot and global attraction domain and this paper enriches and develops chaos theory. This chaotic system has potential applications and can be used to protect data security and image encryption.
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Received: 30 May 2023
Published: 27 April 2025
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