Research Article
Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems via Active Control
@INPROCEEDINGS{10.1007/978-3-642-27299-8_6, author={Sarasu Pakiriswamy and Sundarapandian Vaidyanathan}, title={Generalized Projective Synchronization of Hyperchaotic L\'{y} and Hyperchaotic Cai Systems via Active Control}, proceedings={Advances in Computer Science and Information Technology. Networks and Communications. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part I}, proceedings_a={CCSIT PART I}, year={2012}, month={11}, keywords={Active control hyperchaos generalized projective synchronization hyperchaotic L\'{y} system hyperchaotic Cai system}, doi={10.1007/978-3-642-27299-8_6} }- Sarasu Pakiriswamy
Sundarapandian Vaidyanathan
Year: 2012
Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems via Active Control
CCSIT PART I
Springer
DOI: 10.1007/978-3-642-27299-8_6
Abstract
This paper investigates the problem of designing active feedback controllers for achieving generalized projective synchronization (GPS) of identical hyperchaotic Lü systems (Chen 2006) and non-identical hyperchaotic Cai system (Wang and Cai, 2009) and hyperchaotic Lü system. The synchronization results (GPS) derived in this paper have been established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active feedback control method is very effective and convenient for achieving the general projective synchronization (GPS) of hyperchaotic Lü and hyperchaotic Cai systems. Numerical simulations are shown to demonstrate the effectiveness of the synchronization results derived in this paper.