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Low dimensional behavior of large systems of globally coupled oscillators.

- E. Ott, T. Antonsen
- Mathematics, Physics
- Chaos
- 2 June 2008

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 set of nonlinear… Expand

Long time evolution of phase oscillator systems.

- E. Ott, T. Antonsen
- Mathematics, Physics
- Chaos
- 16 February 2009

It is shown, under weak conditions, that the dynamical evolution of large systems of globally coupled phase oscillators with Lorentzian distributed oscillation frequencies is, in an appropriate… Expand

Principles of Free-Electron Lasers

- H. Freund, T. Antonsen
- Physics
- 3 September 1992

Preface. Notation. Introduction. The wiggler field and electron dynamics. Incoherent undulator radiation. Coherent emission: linear theory. Coherent emission: nonlinear theory. Sideband… Expand

Kinetic modeling of intense, short laser pulses propagating in tenuous plasmas

- P. Mora, T. Antonsen
- Physics
- 1997

Fast time averaged equations are derived for the motion of particles and the generation of electromagnetic wake fields under the action of the ponderomotive potential of an ultraintense laser pulse… Expand

Exact results for the Kuramoto model with a bimodal frequency distribution.

- E. A. Martens, E. Barreto, S. Strogatz, E. Ott, P. So, T. Antonsen
- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and…
- 12 September 2008

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MAGY: a time-dependent code for simulation of slow and fast microwave sources

- M. Botton, T. Antonsen, B. Levush, K. Nguyen, A. Vlasov
- Physics
- 1 June 1998

We present the newly developed Maryland Gyrotron (MAGY) code for modeling of slow and fast microwave sources. The code includes a time-dependent description of the electromagnetic fields and a… Expand

A Leapfrog Formulation of the 3D ADI-FDTD Algorithm

- S. Cooke, M. Botton, T. Antonsen, B. Levush
- Mathematics
- Workshop on Computational Electromagnetics in…
- 29 October 2007

We introduce a new, alternative form of the 3D alternating direction implicit finite-difference time-domain (ADI- FDTD) algorithm that has a number of attractive properties for electromagnetic… Expand

THE ROLE OF CHAOTIC ORBITS IN THE DETERMINATION OF POWER SPECTRA OF PASSIVE SCALARS

- T. Antonsen, Zhencan Fan, E. Ott, E. Garcia‐Lopez
- Physics
- 1 November 1996

This paper relates properties of the power spectrum of a passive scalar convected by a chaotic fluid flow to the distribution of finite time Lyapunov exponents. The properties considered include the… Expand

Traveling-wave tube devices with nonlinear dielectric elements

- T. Antonsen, B. Levush
- Materials Science
- 1 June 1998

The performance of traveling-wave tube (TWT) amplifiers incorporating nonlinear dielectric elements is studied via computer simulation. Two different situations are investigated: (1) the use of… Expand

Experimental observation and characterization of the magnetorotational instability.

- D. Sisan, N. Mujica, +5 authors D. Lathrop
- Physics, Medicine
- Physical review letters
- 25 February 2004

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