Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators.
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We study networks of nonlocally coupled electronic oscillators that can be described approximately by a Kuramoto-like model. The experimental networks show long complex transients from random initial conditions on the route to network synchronization. The transients display complex behaviors, including resurgence of chimera states, which are network dynamics where order and disorder coexists. The spatial domain of the chimera state moves around the network and alternates with desynchronized dynamics. The fast time scale of our oscillators (on the order of 100ns) allows us to study the scaling of the transient time of large networks of more than a hundred nodes, which has not yet been confirmed previously in an experiment and could potentially be important in many natural networks. We find that the average transient time increases exponentially with the network size and can be modeled as a Poisson process in experiment and simulation. This exponential scaling is a result of a synchronization rate that follows a power law of the phase-space volume.
Published Version (Please cite this version)10.1103/PhysRevE.90.030902
Publication InfoRosin, David P; Rontani, Damien; Haynes, Nicholas D; Schöll, Eckehard; & Gauthier, Daniel J (2014). Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators. Phys Rev E Stat Nonlin Soft Matter Phys, 90(3). pp. 030902. 10.1103/PhysRevE.90.030902. Retrieved from https://hdl.handle.net/10161/9271.
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Research Professor of Physics
Prof. Gauthier is interested in a broad range of topics in the fields of nonlinear and quantum optics, and nonlinear dynamical systems. In the area of optical physics, his group is studying the fundamental characteristics of highly nonlinear light-matter interactions at both the classical and quantum levels and is using this understanding to develop practical devices. At the quantum level, his group has three major efforts in the area of quantum communication and networking. I