53 citations · 209 across the 11 of their papers we have counts for
5 papers · 1 filter
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 Impact of Imperfect Information on Network Attack
Andrew Melchionna, Jesus Caloca, Shane Squires +3
This paper explores the effectiveness of network attack when the attacker has imperfect information about the network. For Erdős-Rényi networks, we observe that dynamical importanc…
The Scaling of Chaos vs Periodicity: How Certain is it that an Attractor is Chaotic?
Madhura Joglekar, Edward Ott, James A. Yorke
The character of the time-asymptotic evolution of physical systems can have complex, singular behavior with variation of a system parameter, particularly when chaos is involved. A…
Controlling systems that drift through a tipping point
Takashi Nishikawa, Edward Ott
Slow parameter drift is common in many systems (e.g., the amount of greenhouse gases in the terrestrial atmosphere is increasing). In such situations, the attractor on which the sy…
Mean field theory of assortative networks of phase oscillators
Juan G. Restrepo, Edward Ott
Employing the Kuramoto model as an illustrative example, we show how the use of the mean field approximation can be applied to large networks of phase oscillators with assortativit…