Collective behavior of an ensemble of forced duffing oscillators near the 1{vert_ellipsis}1 resonance. Revision 1

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Preserving the beam size (or equivalently the emittance) is a primary aim of accelerator physics. Here we study the effect on the emittance of power supply ripple in the guiding magnetic fields. The collective behavior of forced Duffing oscillators is the natural model to understand this phenomenon. We consider the case when the external frequency is near the linearized natural frequency and nonlinearity and forcing are small. The method of averaging reduces the problem to an autonomous system. A coarse grained long time limit of the phase space density and the rate of approach to this limit are discussed in ... continued below

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65 p.

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Sen, T.; Ellison, J. & Kauffmann, S. July 1, 1994.

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Description

Preserving the beam size (or equivalently the emittance) is a primary aim of accelerator physics. Here we study the effect on the emittance of power supply ripple in the guiding magnetic fields. The collective behavior of forced Duffing oscillators is the natural model to understand this phenomenon. We consider the case when the external frequency is near the linearized natural frequency and nonlinearity and forcing are small. The method of averaging reduces the problem to an autonomous system. A coarse grained long time limit of the phase space density and the rate of approach to this limit are discussed in terms of the autonomous system. We find the frequencies which lead to the largest emittance growth in three different forcing regimes (weak, moderate and relatively large) and also characterize the dependence of emittance growth on forcing amplitude in these regimes.

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65 p.

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INIS; OSTI as DE95011159

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  • Other Information: PBD: Jul 1994

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  • Other: DE95011159
  • Report No.: SSCL-Preprint--561-Rev.1
  • Grant Number: AC35-89ER40486
  • DOI: 10.2172/71686 | External Link
  • Office of Scientific & Technical Information Report Number: 71686
  • Archival Resource Key: ark:/67531/metadc702769

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  • July 1, 1994

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 29, 2016, 6 p.m.

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Sen, T.; Ellison, J. & Kauffmann, S. Collective behavior of an ensemble of forced duffing oscillators near the 1{vert_ellipsis}1 resonance. Revision 1, report, July 1, 1994; Dallas, Texas. (digital.library.unt.edu/ark:/67531/metadc702769/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.