A Circuit Experiment for Controlling Hyperchaos by Means of Proportional Periodic Pulse Perturbation to the System Variables

Abstract

The control of hyperchaos in the circuit by means of proportional periodic pulse perturbation to the system variables (PP-SV) has been realized. By using a single output signal of the system as the feedback variable, we and not only replace the system variable by itself, but also add the feedback signal to other system variables, and thus achieve good control results. The results of numerical simulation are in good agreemend with the experimental data.

Complete synchronization of double-delayed Rössler systems with uncertain parameters

“…In recent years, the synchronization of chaotic systems has become an area of active research, partly due to its potential application in secure communication. Since the synchronization of chaotic dynamical systems was observed by Pecora and Carroll [1,2] in 1990, different methods of chaotic synchronization have been proposed in interacting chaotic systems both theoretically and experimentally, such as the driveresponse method, the variable feedback method, [3] the adaptive method, [4,5] the pulse method, [6,7] and the linear observer based method. [8,9] However, most of the research has focused on chaotic systems with certain parameters.…”