混沌同步的电路设计与研究.doc

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摘要:混沌是一种貌似无规则的运动,指在确定性非线性系统中,不需附加任何随机因素亦可出现类似随机的行为。混沌系统的最大特点就在于系统的演化对初始条件十分敏感,因此从长期意义上讲,系统的未来行为是不可预测的。

  混沌电路设计是混沌通信以及混沌加密等应用的先决条件,所以混沌电路的理论研究和设计具有十分重要的意义。同步化概念是经典的;它是根据两个系统所产生的不同周期振荡之间频率接近的概念。同步化是耦合的相同振荡器最简单的效果:两个或者多个相同振荡器表示它们共同相空间内的相同动力学图像。两个相同,或者几乎相同的振荡器耦合在一起可以表示性能良好的同步化。即便对于混沌振荡器来说,这也可以是正确的。

  迄今为止,人们已经发现了多种同步的方法。例如:驱动-响应关系的混沌同步、相互耦合系统的混沌同步、偶然正比法实现混沌同步、外部噪声法实现混沌同步、自适应控制实现混沌同步、非自治混沌系统的同步、主动-被动混沌同步、超混沌同步等等。本文主要研究驱动-响应关系的混沌同步实验方案和原理。

关键词:混沌同步电路; 电路演示; 软件仿真显示

 

Abstract:Chaos is a seemingly irregular movement, refers to a deterministic nonlinear system, without any additional random factors may also appear similar to the random behavior. The most import feature of chaotic systems is the evolution of the system's future behavior is unpredictable.

  Chaotic circuit design is a prerequisite for chaotic communications, chaotic encryption applications, so the theory and design of chaotic circuits is of great significance. Synchronization concept is a classic; it is a periodic oscillation frequency is close to the concept of two systems. Synchronization is the most simple coupled oscillator of the same effect: two or more of the same oscillator, said the image of the same dynamics in their common phase space. Two identical or nearly identical oscillators coupled with a good performance of the synchronization can be expressed. Even for the chaotic oscillator, which can also be correct.

  So far, people have found a variety of synchronization methods. For example: drive-response relationship of chaos synchronization, Chaos synchronization of the coupled system, method of occasional proportional to chaos synchronization, the external noise method to achieve chaos synchronization and adaptive control of chaotic synchronization, non-autonomous chaotic system synchronization, active-passive chaos synchronization hyperchaos synchronization and so on. In this paper, research-driven-response relationship of chaotic synchronization experiment program and principle.

Key words: Chaos synchronization circuit; Circuit demonstrates; Software simulation shows