Publications (125)
Statistics and Characteristics of Spatio-Temporally Rare Intense Events in Complex Ginzburg-Landau Models
Jong-Won Kim, Edward Ott
We study the statistics and characteristics of rare intense events in two types of two dimensional Complex Ginzburg-Landau (CGL) equation based models. Our numerical simulations sh…
Dynamical Transitions in Large Systems of Mean Field-Coupled Landau-Stuart Oscillators: Extensive Chaos and Clumped States
Wai Lim Ku, Michelle Girvan, Edward Ott
In this paper, we study dynamical systems in which a large number of identical Landau-Stuart oscillators are globally coupled via a mean-field. Previously, it has been observed…
The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators
Edward Ott, Paul So, Ernest Barreto +1
A general stability analysis is presented for the determination of the transition from incoherent to coherent behavior in an ensemble of globally coupled, heterogeneous, continuous…
Synchronization in large directed networks of coupled phase oscillators
Juan G. Restrepo, Edward Ott, Brian R. Hunt
We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks.…
Dynamics on Complex Networks and Applications
Adilson E. Motter, Manuel A. Matias, Juergen Kurths +1
At the eight-year anniversary of Watts & Strogatz's work on the collective dynamics of small-world networks and seven years after Barabasi & Albert's discovery of scale-free networ…
Universal Statistics of the Scattering Coefficient of Chaotic Microwave Cavities
Sameer Hemmady, Xing Zheng, Thomas M. Antonsen +2
We consider the statistics of the scattering coefficient S of a chaotic microwave cavity coupled to a single port. We remove the non-universal effects of the coupling from the expe…