title: Design of coupling for synchronization in time-delayed systems.
abstract: We report a design of delay coupling for targeting desired synchronization in delay dynamical systems. We target synchronization, antisynchronization, lag-and antilag-synchronization, amplitude death (or oscillation death), and generalized synchronization in mismatched oscillators. A scaling of the size of an attractor is made possible in different synchronization regimes. We realize a type of mixed synchronization where synchronization and antisynchronization coexist in different pairs of state variables of the coupled system. We establish the stability condition of synchronization using the Krasovskii-Lyapunov function theory and the Hurwitz matrix criterion. We present numerical examples using the Mackey-Glass system and a delay Rössler system.
authors.affiliation: Department of Mathematics, University of Kalyani, West Bengal 741235, India.
authors.forename: Dibakar
authors.initials: D
authors.lastname: Ghosh
authors.forename: Ioan
authors.initials: I
authors.lastname: Grosu
authors.forename: Syamal K
authors.initials: SK
authors.lastname: Dana