Stability And Persistence Of Diffusively Coupled Lattice Oscillators With Time Lag
Abstract
This is a study of oscillators each with an asymptotically stable limit cycle coupled a11-
to-all by a linear diffusive path with a time lag. The dessert at ion contains four parts: the
introduction. literature review. and three other chapters. The introduction deals with the
svnchronization phenomena, Normal Hyperbolicity, Generalized Lyapunov Exponents and
tho Basic Theory of DDEs. In chapter two, we review what has been done in systems
of' oscillator with/without a delay in the coupling. We also review what is known in the
computation of maximum lyapunov exponents of system with a coupling involving a time
lag. In chapter 3, we establish the conditions for :'3tability and persistence or robustness of
synchronized state. Chapter four is the conclusion.
Citation
Wairimu,J.,July,2007.Stability And Persistence Of Diffusively Coupled Lattice Oscillators With Time Lag.Publisher
University of Nairobi College of Biological and Physical Sciences