title: Generalized variable projective synchronization of time delayed systems.
abstract: We study generalized variable projective synchronization between two unified time delayed systems with constant and modulated time delays. A novel Krasovskii-Lyapunov functional is constructed and a generalized sufficient condition for synchronization is derived analytically using the Lyapunov stability theory and adaptive techniques. The proposed scheme is valid for a system of n-numbers of first order delay differential equations. Finally, a new neural oscillator is considered as a numerical example to show the effectiveness of the proposed scheme.
authors.affiliation: Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Malaysia. santoban@gmail.com
authors.forename: Santo
authors.initials: S
authors.lastname: Banerjee
authors.forename: S Jeeva Sathya
authors.initials: SJ
authors.lastname: Theesar
authors.forename: J
authors.initials: J
authors.lastname: Kurths
mesh_terms: D003142:Communication; D003198:Computer Simulation; D005240:Feasibility Studies; D007257:Information Theory; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D009991:Oscillometry; D010507:Periodicity; D013997:Time Factors