The Stability of Adaptive Synchronization of Chaotic Systems

Smart Materials and Systems Seminar Series

The stability of adaptive synchronization of chaotic systems

Dr. Francesco Sorrentino, University of Naples Parthenope Italy

We consider situations where time evolving systems couple together to form a dynamical complex network. In the case in which the individual systems that are coupled are identical, and appropriate coupling is employed, such networks may exhibit synchronization; that is, all the systems converge onto a common synchronized time evolution, which may be chaotic. After presenting a review of the master stability function approach to network synchronization (Pecora and Carroll, 1998), I will show how appropriate adaptive strategies can be devised to synchronize and identify the temporally evolving couplings of a complex network. I will also show current results from an experiment carried out in the Laboratory for Nonlinear Dynamics in Optical Systems at the University of Maryland implementing my technique. Finally, I will present an extension of the master stability function technique to study stability of synchronization with adaptive coupling.

Biosketch

Francesco Sorrentino was born in Naples, Italy, on November the 23, 1979. In 2007 he got a PhD in Control Engineering from the University of Naples Federico II. Since March 2008 he is an Assistant Professor of Automatic Control at the University of Naples Parthenope. At the same time, he collaborates with the Institute for Research in Electronics and Applied Physics at the University of Maryland, US. His research primarily focuses on cutting-edge topics in Nonlinear Dynamics, and Chaos Theory. His work includes studies on dynamics of complex networks, adaptation in complex systems, and identification of nonlinear systems.