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Low dimensional behavior of large systems of globally coupled oscillators.
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.
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
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
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
This work derives the system's stability diagram for the special case where the bimodal distribution consists of two equally weighted Lorentzians and shows that in this case the infinite-dimensional problem reduces exactly to a flow in four dimensions. Expand
MAGY: a time-dependent code for simulation of slow and fast microwave sources
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
- 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
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
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.
This work presents the first experimental observation of the magnetorotational instability of liquid sodium between differentially rotating spheres, with an imposed coaxial magnetic field, and characterize the observed patterns, dynamics, and torque increases. Expand