| 摘要: |
| 基于共轭Lorenz混沌系统，利用反馈控制技术，提出了一个具有4个参数、3个二次项的新三维自治混沌系统，研究了该系统的动力学性质，同时分析了系统的耗散性与平衡点，利用中心流行定理，讨论了新三维自治混沌系统在双曲与非双曲平衡点O的稳定性;进一步通过相图、Lyapunov指数、分岔图等途径，利用数值分析验证了系统的混沌吸引子与周期吸引子的存在性。 |
| 关键词: 共轭Lorenz系统 三维混沌系统 Lyapunov指数 稳定性 |
| DOI： |
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| A New 3D Chaotic System Based on Conjugate Lorenz System |
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YUAN Yu jiao
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| Abstract: |
| This paper reports a new three-dimensional （3D）chaotic system with four parameters and three quadratic nonlinearities based on conjugate Lorenz system by feedback control techniques， and tries to investigate complex dynamical behaviors of the new 3D chaotic system. Moreover， dissipativity and equilibria including stability of hyperbolic and non hyperbolic equilibria are theoretically studied by center manifold theory. Furthermore，the existence of chaotic attractor and periodic attractor is numerically verified through phase portrait， Lyapunov exponents and bifurcation. |
| Key words: conjugate Lorenz system 3D chaotic system Lyapunov exponents stability |
