Bifurcation analysis of nonlinear Hamiltonian dynamics in the Fermilab Integrable Optics Test Accelerator

Mitchell, Chad E.; Ryne, Robert D.; Hwang, Kilean

doi:10.1103/PhysRevAccelBeams.23.064002

Title: Bifurcation analysis of nonlinear Hamiltonian dynamics in the Fermilab Integrable Optics Test Accelerator

Journal Article · 14 June 2020 · Physical Review Accelerators and Beams

DOI: https://doi.org/10.1103/PhysRevAccelBeams.23.064002 · OSTI ID:1633461

; Ryne, Robert D.;

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Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1633461

Alternate ID(s):: OSTI ID: 1661605

Journal Information:: Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Journal Issue: 6 Vol. 23; ISSN 2469-9888; ISSN PRABCJ

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Monodromy in the hydrogen atom in crossed fields Cushman, R. H.; Sadovskiı́, D. A. Physica D: Nonlinear Phenomena, Vol. 142, Issue 1-2 https://doi.org/10.1016/S0167-2789(00)00053-1	journal	August 2000
Overcoming a fast transverse instability by means of octupole-induced tune spread in the Relativistic Heavy Ion Collider Montag, C.; Kewisch, J.; Trbojevic, D. Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue 8 https://doi.org/10.1103/PhysRevSTAB.5.084401	journal	August 2002
Nonlinear accelerator lattices with one and two analytic invariants Danilov, V.; Nagaitsev, S. Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 8 https://doi.org/10.1103/PhysRevSTAB.13.084002	journal	August 2010
Fractional Bidromy in the Vibrational Spectrum of HOCl Assémat, E.; Efstathiou, K.; Joyeux, M. Physical Review Letters, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevLett.104.113002	journal	March 2010
Classical Mechanics of Dipolar Asymmetric top Molecules in Collinear Static Electric and Nonresonant Linearly Polarized Laser Fields: Energy-Momentum Diagrams, Bifurcations and Accessible Configuration Space Arango, Carlos A.; Ezra, Gregory S. International Journal of Bifurcation and Chaos, Vol. 18, Issue 04 https://doi.org/10.1142/S0218127408020872	journal	April 2008
Rapid-cycling synchrotron for multi-megawatt proton facility at Fermilab Eldred, J.; Lebedev, V.; Valishev, A. Journal of Instrumentation, Vol. 14, Issue 07 https://doi.org/10.1088/1748-0221/14/07/P07021	journal	July 2019
Finding a nonlinear lattice with improved integrability using Lie transform perturbation theory Sonnad, Kiran G.; Cary, John. R. Physical Review E, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevE.69.056501	journal	May 2004
Experimental Demonstration of Classical Hamiltonian Monodromy in the 1 ∶ 1 ∶ 2 Resonant Elastic Pendulum Fitch, N. J.; Weidner, C. A.; Parazzoli, L. P. Physical Review Letters, Vol. 103, Issue 3 https://doi.org/10.1103/PhysRevLett.103.034301	journal	July 2009
Symplectic theory of completely integrable Hamiltonian systems Pelayo, Álvaro; Ngọc, San Vũ Bulletin of the American Mathematical Society, Vol. 48, Issue 3 https://doi.org/10.1090/S0273-0979-2011-01338-6	journal	September 2011
Mathematical Methods of Classical Mechanics Arnold, V. I. Graduate Texts in Mathematics https://doi.org/10.1007/978-1-4757-2063-1	book	January 1989
IOTA (Integrable Optics Test Accelerator): facility and experimental beam physics program Antipov, S.; Broemmelsiek, D.; Bruhwiler, D. Journal of Instrumentation, Vol. 12, Issue 03 https://doi.org/10.1088/1748-0221/12/03/T03002	journal	March 2017

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