In this paper, a scheme of global anti-synchronization between two identical newly developed
Bhal... more In this paper, a scheme of global anti-synchronization between two identical newly developed Bhalekar–Gejji chaotic system is proposed. This anti-synchronization scheme is achieved by using nonlinear active control since the parameters of both the systems are known and states are measurable. Lyapunov stability theory is used to ensure stability of error dynamics. Controller is designed by using the sum of relevant variables in master and slave chaotic systems. Simulation results reveal that proposed scheme is working satisfactorily.
In this paper hybrid synchronization between hyperchaotic and chaotic systems is presented. The h... more In this paper hybrid synchronization between hyperchaotic and chaotic systems is presented. The hyperchaotic Lorenz-Stenflo system is used as master and the chaotic Chen system is used as slave. The global hybrid synchronization between master and slave systems is achieved by using nonlinear active control. Nonlinear controller is designed by using the relevant variables of master and slave systems. The stability of the proposed hybrid synchronization scheme is shown by using Lyapunov stability theory. MATLAB simulation is carried out to find the effectiveness of the proposed scheme. Results obtained validate the proposed theory.
This paper aims at synchronization and anti-synchronization between Lu chaotic system, a member o... more This paper aims at synchronization and anti-synchronization between Lu chaotic system, a member of unified chaotic system, and recently developed Bhalekar–Gejji chaotic system, a system which cannot be derived from the member of unified chaotic system. These synchronization and anti-synchronization have been achieved by using nonlinear active control since the parameters of both the systems are known. Lyapunov stability theory is used and required condition is derived to ensure the stability of error dynamics. Controller is designed by using the sum of relevant variables in chaotic systems. Simulation results suggest that proposed scheme is working satisfactorily.
Hybrid synchronization based on the active control theory between two different chaotic systems, ... more Hybrid synchronization based on the active control theory between two different chaotic systems, i.e. Lu and Bhalekar-Gejji is reported in this paper. Lu chaotic system is taken as master and Bhalekar-Gejji chaotic system as slave. Stabilization of error dynamics is achieved by satisfying the Lyapunov stability conditions. Control is designed by using the relevant variables of master and slave systems. Simulation is presented for verification of proposed scheme.
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Papers by Jay Singh
Bhalekar–Gejji chaotic system is proposed. This anti-synchronization scheme is achieved by
using nonlinear active control since the parameters of both the systems are known and states
are measurable. Lyapunov stability theory is used to ensure stability of error dynamics.
Controller is designed by using the sum of relevant variables in master and slave chaotic
systems. Simulation results reveal that proposed scheme is working satisfactorily.