The chaotic system of simplify-memristor simulator in jerk circuit

Abstract

The paper puts forward a simplified jerk circuit simulator, based on a simplified have resistance device emulator jerk circuit with unstable saddle points. According to the circuit structure, circuit of the dimensionless model is set up, in the simulation At the same time, many basic dynamic properties, such as stability and equilibrium, are analyzed. The dynamic characteristics in this system are analyzed by the commonly used dynamic analysis methods such as Lyapunov index and bifurcation diagram, and several special dynamic phenomena are observed. For instance: chaos, quasi-periodic, periodic, and some complex behavior. The research results, which will offer experimental basis and theoretical for the application of the chaotic system pseudorandom sequence in the field of public information security, for instance, digital communication security.