Adaptive Control of Chaotic Rossler System via Synchronization

摘要

In this study, using synchronization approach, chaos control for Rossler systemis investigated. Based on essential structure of synchronization approach and usingbifurcation diagram, periodic Rossler systems or master systems for both period-one andperiod-two orbits are found. Adaptive nonlinear feedback method is used to synchronizechaotic slave system with periodic master ones. Stability conditions are discussedanalytically based on Lyapunov theorem and numerical simulation results are presented. Theproposed method could control the chaotic system with unknown parameters very well.