| The theory of modern nonlinear circuitis an important content of the theory of modern circuit.And also,chaotic circuits are the necessaryparts of modern nonlinear circuits.The main research contents of chaotic circuits include the concept of chaotic circuits,mathematicalfoundations,basic analysis and design methods,typing in circuits,and the application of chaotic circuits in modern communication systems and signal processing.This thesis proposes a new chaotic circuit based on Chen chaotic circuit.The dynamic analysis of the state equation of the circuit is carried out,and the maximum lyapunov index of the state equation is calculated,and its value is greater than 0,which shows that the system has a positive lyapunov index,thus proving that the new system is in a chaotic state.Matlab is used to simulate the equation of state,and the chaotic attractor image is generated.In this paper,an integrated operational amplifier is used to form a nonlinear circuit module to build a chaotic circuit,and a new chaotic simulation circuit based on LF347 BD operational amplifier is designed.The simulation results of circuit Multisim software show that the circuit also produces chaotic attractor waveform,which is consistent with the simulation results of Matlab.A new equation of state for four-dimensional hyperchaotic system is presented.Thelyapunov index of the equation of state is calculated,of which 2 are bigger than 0,thus proving that the new system is in hyperchaotic state.Matlab is used to simulate the state equation,and the hyperchaotic attractor image is generated.A new hyperchaotic simulation circuit is designed.The simulation results of the circuit by Multisim software show that the circuit realized by Multisim also produces hyperchaotic attractor waveforms,which are consistent with the simulation results by Matlab software. |