Design And Simulation Of New Hyper-chaotic Circuits Based On Memristor

Compared with ordinary chaotic systems,hyper-chaotic systems have more key parameters and more complex dynamic behaviors,and their randomness and reliability are also higher.Therefore,hyper-chaotic systems have better application prospects in aerospace,voice security,neural networks and other fields.It has been found in research that memristor not only has unique nonlinearity,but also has the characteristics of small size,easily integrated,low power and nonvolatility,and can be used to generate hyper-chaotic signal with rich dynamic behavior in nonlinear circuits,so the memristive hyper-chaotic systems have important practical significance in engineering.Therefore,the design of memristive hyper-chaotic systems with rich dynamic behavior has great application value.The main work of this paper is to design and study new four-dimensional memristive hyper-chaotic systems.The main innovations and research results are as follows:(1)A new four-dimensional memristive hyper-chaotic system is obtained by adding a memristor into a known three-dimensional system.Firstly,the stability of the equilibrium points of the system and the Lyapunov exponent spectrum are analyzed in detail.Secondly,the study shows that under different system parameters,the system can exhibit states such as period,chaos and hyperchaos.Finally,the circuit simulation results in Multisim are compared with the numerical simulation results in Simulink,and they are found to be relatively consistent,which further verifies the correctness and realizability of the system.(2)By introducing a duality-symmetric multi-segment quadratic function into the designed four-dimensional memristive hyper-chaotic system,a new memristive multi-wing hyper-chaotic system is obtained.Then,a new memristive grid multi-wing hyper-chaotic system is designed by using the control transfer function.The complex dynamic behavior of the system was described by means of numerical analysis methods,such as phase diagrams and bifurcation diagrams.After analyzing the two systems separately,it is found that they both have linear equilibrium points and can produce hyperchaos.Finally,the circuit simulations of the two systems are realized respectively by using Multisim software,which proves the correctness of the Simulink numerical simulation results of the two systems.(3)A memristive complex grid hyper-chaotic system with linear equilibrium points is obtained by introducing a mirror symmetry conversion function into the proposed memristive multi-wing hyperchaotic system.To obtain a memristive complex grid hyper-chaotic system without equilibrium points,a constant term is introduced.Then,the multiwing and hyper-chaotic characteristics of the two systems are discussed and studied respectively.Finally,the validity and correctness of the system is proved by comparing the consistence of the two results of numerical simulation and Multisim circuit simulation.