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The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials

Acta Mathematica Sinica, English Series, 2005
The author studies the center problem for a special system of differential equations of the form \[ \dot x=-y+X_{s}(x,y),\qquad \dot y=x+Y_{s}(x,y), \] where \(X_{s}(x,y)\) and \(Y_{s}(x,y)\) are homogeneous polynomials of degree \(s,\) with \(s\geq2.\) It is known that the centers of the polynomial differential systems with a linear center perturbed ...
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Klystrons for the Stanford linear accelerator center

IEEE Transactions on Electron Devices, 1966
A 2-mile-long linear accelerator has been built at Stanford University that uses 245 klystrons to produce an electron beam with an energy up to 20 GeV. Although most of the tubes used are being procured from industry, a major portion of the development work has been and is still being done at Stanford. We will review the important results of this work.
G.K. Merdinian   +2 more
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Instrumentation at the Bates Linear Accelerator Center

AIP Conference Proceedings, 1991
The beam diagnostic systems which are under development at the Bates Accelerator Center of MIT are introduced. Some of the system which have been installed will be described. (AIP)
J. B. Flanz   +3 more
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The MIT-Bates Linear Accelerator Center

AIP Conference Proceedings, 2000
The MIT-Bates Linear Accelerator Center is an electron scattering facility for basic research in medium energy nuclear physics. It consists of a 1 GeV 2.856 GHz linear accelerator and recirculator, two main experimental halls, and the 190 m circumference South Hall Ring (SHR). Both polarized and unpolarized electron sources are available.
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The Stanford Linear Accelerator Center Pulsed X-ray Facility

Health Physics, 1987
The Stanford Linear Accelerator Center (SLAC) operates a high-energy (up to 33 GeV) linear accelerator delivering pulses up to a few microseconds wide. The pulsed nature of the electron beam creates problems in the detection and measurement of radiation both from the accelerator beam and the klystrons that provide the radio-frequency power for the ...
N E, Ipe, R C, McCall, E D, Baker
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Micromachined linear array with 100 MHz center frequency

The Journal of the Acoustical Society of America, 2008
High-frequency ultrasound systems based on single element transducers in the frequency range of 50-120 MHz and mechanical scanning of the transducer. Linear arrays with electrical scanning can be used to increase the speed of scanning and reduce the size of the transducers.
Eike C. Weiss   +7 more
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Linear Momentum, Collisions, and Center of Mass

2013
In this chapter, we introduce the linear momentum of a particle and the law of conservation of linear momentum of a system of particles under certain conditions. We use this law and the conservation of energy to analyze translational motion when particles collide.
Hafez A. Radi, John O. Rasmussen
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Center Bifurcation for a Two-Dimensional Piecewise Linear Map

2006
It is already well known that the main bifurcation scenario which can be realized considering a business cycle model in dynamic context, is related to a fixed point losing stability with a pair of complex-conjugate eigenvalues. In the case in which such a model is discrete and defined by some smooth nonlinear fianctions, the Neimark-Sacker bifiarcation
I. SUSHKO, GARDINI, LAURA
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Linear stark effect of the R-center

Physics Letters A, 1967
Abstract The linear Stark effect of the 2E→2A2 transition with inclusion of Jahn-Teller, spin-orbit and internal stress interaction is calculated.
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A Fundamental Solution for the Linearized Guiding-Center Equations

The Physics of Fluids, 1968
The linear one-dimensional propagation of an initial perturbation in an infinite, homogeneous, stable guiding-center plasma is studied. The dominant mode of decay after long periods of time is shown to be that of a reciprocal power of time.
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