A Dissertation Submitted to Guangdong University of Technology for the Degree of Doctor of Philosophy

Since 1963 ENLorenz found the first chaotic attractor, chaos as an important theoretical research topic in many natural sciences, mathematics and engineering fields has been studied extensively. Recent years, chaotic research has moved from the traditional understanding and analysis of chaotic development in the field of engineering and technical control of chaotic, chaotic secure communication chaotic stirring. Broadly speaking, Chaos Control is not only the weakened or calm when chaos harmful Chaos also the chaotic useful or strengthen the chaos, and that chaos of. 1979, Rossler reported to the first hyperchaotic system. Recently, significant increase in interest hyperchaotic system. Hyperchaotic system with more than two positive Lyapunov exponent, relative to rail the separation more direction, and thus its chaotic behavior is more complex. As more randomness and unpredictability of hyperchaotic system in a non-traditional field of engineering has great potential for applications, such as based on chaotic signal encryption and security communications. So far, in hyperchaos generated a theoretical method to design a super-chaotic system, especially with the purpose of using a simple means to control the chaotic system to hyperchaotic, which in theory or the application will be a challenging and more complex topics at the forefront. Relative to the calm chaos in terms of super-chaotic anti-control is the control of a chaotic system is super-chaotic state. The thesis studied the generation of mixed chaotic systems, anti-control of chaotic system, chaos control and synchronization of hyperchaotic systems, as well as their circuit design and circuit implementation. In order to improve the topological complexity of chaotic attractors, respectively, the absolute value function and switch control to achieve a new hybrid chaotic system. The theoretical analysis of the dynamics of the system, the computer simulation and experimental verification. Theory and experiments show that the attractor of the system has a complex, interesting and important mixed topology, butterfly type to attract two \A direct application of this feature is chaotic digital modulation, such information symbols \, thereby increasing the complexity of the modulated signal, so that the useful information transmitted is more difficult to intercept and decipher. . Hyperchaotic system to achieve more complex dynamics, on the basis of three-dimensional continuous autonomous chaotic system is proposed a method for generating continuous autonomous hyperchaotic system is a new method, namely the linear state feedback control law, which proposed a new hyperchaotic system. The core of the method is to design a simple linear state feedback controller, it constitutes a necessary condition for a meet hyperchaotic four-dimensional continuous autonomous systems and drive system until hyperchaotic. The examples show that the state feedback control method can be successfully Lorenz system drive hyperchaotic state, leading to the discovery of a new hyperchaotic system. Lyapunov exponent and bifurcation analysis the the MATLAB program simulation and electronic circuit experiments confirmed the chaotic behavior of the system. On the basis of three-dimensional continuous autonomous chaotic system can also be applied to nonlinear state feedback control method to generate hyperchaos. Design a nonlinear state feedback controller, to control chaotic system to hyperchaotic.