Synchronization, Cluster Formation and Chimera Stats in Networks of Optoelectronic Dynamical Systems
Abstract
Synchronization, Cluster Formation and Chimera Stats in Networks of Optoelectronic Dynamical Systems. We propose research on optoelectronic systems to experimentally and computationally investigate the role of symmetries in synchronization and cluster formation in networks of dynamical systems. The research will focus on experiments with small numbers of optoelectronic feedback loops composed of discrete elements as well as large numbers of coupled map systems generated in a liquid crystal light modulator. Synchronization is of central importance in power distribution, telecommunication, neuronal and biological networks. We will develop a new framework for the analysis of network dynamics which shows the connection between network symmetries, synchronization and cluster formation. Our research will address networks with Laplacian coupling – those for which the coupling is balanced to admit global synchronization. An important aspect of our studies will address computations of the stability of the clusters, and highlight their connection with chimera states. These states are dynamical patterns that occur in networks of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. Our experiments and computations will highlight the connection between symmetries, cluster formation, chimera states and synchronization. These will be investigated in the context of real networks with hetereogeneities and noise present using the optoelectronic networks developed in our laboratory. We will extend the feedback loop experiments to the single-photon counting regime and address questions of entropy production and random number generation as well as synchrony at the single photon level. Our experimental research will be performed in collaboration with theorists Dr. L. M. Pecora of the Naval Research Laboratory, a leader in the area of network research and Professor Francesco Sorrentino of the University of New Mexico, an expert on control theory and engineering.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Nov 23, 2016
- Source ID
- N000141612481
Entities
People
- Rajarshi Roy
Organizations
- Office of Naval Research
- United States Navy
- University of Maryland