Generation, Circuit Implementation And Synchronization Control Of A Hyperchaotic Attractor With Multi-Wing

Chaos is a dynamic behavior in the deterministic nonlinear system. Chaotic system has a remarkable feature that the evolution of the system is very sensitive to initial conditions. Hyperchaotic system has better randomness and uncertainty just because it has at least two positive Lyapunov exponential. It has greater value in engineering applications. Recent studies show that the signal encrypted by hyperchaotic is harder to decipher. So in order to obtain more important values of chaos in technological applications, much attention has been focused on generating chaotic attractor with a more complicated topological structure such as multi-stroll and multi-wing hyperchaotic attractors. Because of the complicated topological structure and better confidentiality of multi-wing hyperchaotic attractor, its generation, circuit implementation and synchronization research has very important practical significance and broad development prospects. This paper presents a new multi-wing hyperchaotic attractor with the method of nonlinear feedback control, The hyperchaotic attractor is not only verified with bifurcation analysis but also demonstrated by computer simulations and circuit implementation.The essay mainly includes the following four aspects.(1)The hyperchaotic system with multi-wing is created based on a three-dimensional chaotic system with the method of nonlinear feedback control. The character of hyperchaotic system with multi-wing confirms the hyperchaotic action of the system not only by the analysis of complicated dynamics character, bifurcation, Lyapunov exponential spectrum, power spectrum analysis and Poincare mapping, but also verified with Matlab simulations.(2)The system designs and implements the hardware circuit of hyperchaotic system with multi-wing. The structure of the circuit is simple and the parameter is easy to accommodate and observe. It shows the figures in all kinds of states and validates the consistency between experiment results and simulation results. It also provides a very good signal source for hyperchaotic system in the field of engineering application. (3)The synchronization control of hyperchaotic system. It makes research in the created hyperchaotic system with multi-wing. Via the investigation to the adaptive synchronization control based on parameters identification and globally synchronization control, it demonstrates the effectiveness of the controllers according numerical simulation and theoretical analysis.