973 citations · 3.6k across the 76 of their papers we have counts for
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Sensor Based on Extending the Concept of Fidelity to Classical Waves
Biniyam Tesfaye Taddese, James Hart, Thomas M. Antonsen +2
We propose and demonstrate a remote sensor scheme by applying the quantum mechanical concept of fidelity loss to classical waves. The sensor makes explicit use of time-reversal inv…
Scattering a pulse from a chaotic cavity: Transitioning from algebraic to exponential decay
James A. Hart, Thomas M. Antonsen, Edward Ott +1
The ensemble averaged power scattered in and out of lossless chaotic cavities decays as a power law in time for large times. In the case of a pulse with a finite duration, the powe…
Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
E. A. Martens, E. Barreto, S. H. Strogatz +3
We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standi…
Echo Phenomena in Large Systems of Coupled Oscillators
Edward Ott, John H. Platig, Thomas M. Antonsen +1
As exemplified by the Kuramoto model, large systems of coupled oscillators may undergo a transition to phase coherence with increasing coupling strength. It is shown that below the…
Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
Edward Ott, Thomas M. Antonsen
It is shown that, in the infinite size limit, certain systems of globally coupled phase oscillators display low dimensional dynamics. In particular, we derive an explicit finite se…