Propagation of rays in 2D and 3D waveguides: A stability analysis with Lyapunov and reversibility fast indicators-Reference-Cited by-同舟云学术

Propagation of rays in 2D and 3D waveguides: A stability analysis with Lyapunov and reversibility fast indicators

Published:2021-04 Issue:4 Volume:31 Page:043138
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Gradoni G.¹^ORCID,Panichi F.²^ORCID,Turchetti G.³^ORCID

Affiliation:

1. School of Mathematical Sciences and Department of Electrical and Electronic Engineering, University of Nottingham, University Park, NG72RD Nottingham, United Kingdom

2. Numerical Algorithms Group Ltd, Portland Street 53, M1-3LD Manchester, United Kingdom

3. Department of Physics and Astronomy, Alma Mater Studiorum, University of Bologna, Viale Berti Pichat 6/2, 40-127 Bologna, Italy and INDAM Gruppo Nazionale di Fisica Matematica, Piazzale Aldo Moro, 5, 00185 Roma, Italy

Funder

Royal Society

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0043782

Reference41 articles.

1. A. Bazzani, P. Freguglia, and G. Turchetti, “Hamiltonian analytical optics and simulations of betatronic motion by optical devices,” in Nonlinear Dynamics and Collective Effects in Particle Beam Physics (World Scientific, 2019), pp. 23–46.

2. N. Chernov and M. Markarian, “Chaotic billiards,” in Mathematical Surveys and Monographs, American Mathematical Society Vol. 127 (2006), see https://www.ams.org/books/surv/127/.

3. On the ergodic properties of nowhere dispersing billiards

4. J. Redmond and S. Tabachnikov, “Introducing symplectic billiards,” see https://www.math.psu.edu/tabachni/prints/Notes5.pdf.

5. S. Tabachnikov, “Billards,” see https://www.math.psu.edu/tabachni/Books/billiardsbook.pdf.

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