多翼统一混沌系统的自适应同步及反同步

发布时间：2018-04-10 15:18

本文选题：多翼统一混沌系统 + 四维混沌系统　；参考：《计算机应用研究》2017年12期

【摘要】：研究一种多翼统一混沌系统的同步及反同步问题。这种统一混沌系统将多种多翼混沌系统结合起来,通过调节系统参数可产生不同类型的混沌吸引子。分析多翼混沌系统中新发现的四维混沌系统的动力学特性,这种四维混沌系统可以产生一种形状似蝙蝠的吸引子。通过对新四维混沌系统的相图、李雅普诺夫指数谱和分岔图等动力学行为进行分析和数值仿真,验证了该系统具有丰富的混沌特性。通过Lyapunov稳定性理论和自适应控制方法,设计合适的非线性反馈控制器以及参数自适应率,实现该混沌系统的自适应同步。利用扩维的方法实现不同维数的非同族混沌系统间的自适应反同步。最后,在MATLAB中进行数值仿真,驱动系统和响应系统能快速达到同步和反同步,验证了上述方法的有效性和可行性。
[Abstract]:Synchronization of a unified chaotic system with multi wing and anti synchronization. The unified chaotic system will be multi wing chaotic system combine to produce different types of chaotic attractors by adjusting the system parameters. The analysis of dynamic characteristics of four-dimensional chaotic system new multi wing chaotic system, the attractor can produce a four-dimensional chaotic system a shape like a bat. According to the phase diagram of new four-dimensional chaotic system, analysis and numerical simulation of the Lyapunov exponent spectrum and bifurcation diagram shows the dynamic behavior of chaotic system with abundant. Control method by Lyapunov stability theory and adaptive controller and parameter adaptive rate feedback nonlinear design suitable, adaptive the synchronization of chaotic systems. The adaptive non cognate chaotic systems to achieve different dimension by using the method of expanding dimension between the same counter Finally, the numerical simulation is carried out in MATLAB. The drive system and the response system can quickly achieve synchronization and anti synchronization. The effectiveness and feasibility of the above methods are verified.

【作者单位】：湘潭大学物理与光电工程学院;
【基金】：国家自然科学基金资助项目(61471310)
【分类号】：O231;O415.5

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