PROJECTIVE SYNCHRONIZATION OF TWO IDENTICAL FRACTIONAL ORDER LLC CHAOTIC SYSTEMS
T. Suganya, P. Muthukumar
Department of Mathematics, Gobi Arts & Science College,(Affiliated to Bharathiar University, Coimbatore)
Gobichettipalayam – 638 453, Tamil Nadu, India
ABSTRACT: This paper comprehensively investigates the chaotic behavior and projective synchronization of two identical fractional order Lorenz-L -Chen (LLC) chaotic systems. The Caputo derivative is used to precisely depict the systems fractional dynamics, allowing for a thorough examination of their complex characteristics. Projective synchronization is effectively achieved by applying non-linear controllers, and the work derives and rigorously proves the necessary and sufficient criteria for synchronization. Extensive numerical simulations validate these criteria, confirming the proposed approach’s resilience and reliability.
KEYWORDS: Chaos; Feedback Control; Projective Synchronization.