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Journal ArticleDOI

Experimental studies of nonlinear beam dynamics

TLDR
The nonlinear beam dynamics of transverse betatron oscillations were studied experimentally at the Indiana University Cyclotron Facility cooler ring and the Hamiltonian for nonlinear particle motion near the third- and fourth-integer-resonance conditions has been deduced.
Abstract
The nonlinear beam dynamics of transverse betatron oscillations were studied experimentally at the Indiana University Cyclotron Facility cooler ring. Motion in one dimension was measured for betatron tunes near the third, fourth, fifth, and seventh integer resonances. This motion is described by coupling between the transverse modes of motion and nonlinear field errors. The Hamiltonian for nonlinear particle motion near the third- and fourth-integer-resonance conditions has been deduced.

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Journal ArticleDOI

Nonlinear dynamic analysis of asymmetric tristable energy harvesters for enhanced energy harvesting

TL;DR: The results show that the potential barrier is a key factor to determine the orbit height of high-energy interwell oscillations, which influences the amplitude of the output voltage in asymmetric tristable energy harvesters.
Journal ArticleDOI

Application of independent component analysis to Fermilab Booster

TL;DR: In this paper, independent component analysis (ICA) is applied to analyze the beam motion in a rapid-cycling booster synchrotron at the Fermilab in order to decompose sampled signals into its underlying source signals.
Journal ArticleDOI

First simultaneous measurement of sextupolar and octupolar resonance driving terms in a circular accelerator from turn-by-turn beam position monitor data

TL;DR: In this paper, a procedure to evaluate and correct unwanted nonlinearities by using turn-by-turn beam position monitor data, which is an evolution of previous works on the resonance driving terms (RDTs), is described.
Journal ArticleDOI

Effects of RF voltage modulation on particle motion

TL;DR: In this article, the effects of rf voltage modulation on synchrotron motion were studied experimentally and the experimental data revealed the resonance islands generated by the rf Voltage modulation.
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