Research On The Dynamic Behavior Of Several Nonlinear Circuit Systems

In the practical application of natural science and engineering technology,there are a lot of nonlinear phenomena.The nonlinear circuit has the advantage of observing various nonlinear phenomena conveniently through experimental research methods,which makes the research on the nonlinear circuit get widespread attention.This paper takes several types of nonlinear circuits as research objects,mainly analyzes the existence and stability of the system equilibrium point according to the theorem of Routh-Hurwitz,etc.,and uses Matlab software to pass the phase trajectory diagram,Lyapunov exponent,Poincaré section and bifurcation diagram,The dynamic behavior of these systems is analyzed.The specific research contents are as follows:This article first describes the research background and significance,and introduces the basic theory and analysis method of chaos.Then,the basic dynamic analysis of the improved Chua circuit that can generate multiple scroll attractors is carried out.By changing the parameters in the system,the system has chaotic evolution behavior.This paper introduces a hyperbolic tangent function in the improved Chua circuit,expands the index 2 saddle focus in the y direction in the phase space,constructs a bidirectional grid multi-scroll attractor chaotic system,and designs a random trajectory and complex dynamic behavior.Chaotic system.The influence of system parameter changes on the system dynamics is studied.By changing the system parameters,the circuit exhibits complex nonlinear phenomena such as period,bifurcation and chaos,from stability to period to bifurcation,and then leads to the chaotic evolution process.This paper introduces a simple linear term and a nonlinear term in the augmented Lü system to design a four-dimensional four-wing hyperchaotic system.Compared with chaotic systems,hyperchaotic systems have stronger randomness.The system has only one saddle point.The numerical simulation results show that the system has more complex dynamic characteristics and the randomness of the motion trajectory is stronger.By studying the influence of system parameter changes,it is found that there are a large number of periodic windows in the chaotic interval,and various complex periodic orbits can be generated.The numerical simulation results of the model in this paper are consistent with the theoretical analysis,confirming the accuracy of the model design,indicating that these systems have rich dynamic characteristics,and provide a good idea for the dynamic behavior analysis of nonlinear circuits.