Lamb, Jeroen S. W. and Roberts, John A. G. (1998) Time-reversal symmetry in dynamical systems : a survey. Physica D: Nonlinear Phenomena, 112 (1-2). pp. 1-39. doi:10.1016/S0167-2789(97)00199-1

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Abstract

In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a brief discussion of the position of time-reversal symmetry in physics. After defining time-reversal symmetry as it applies to dynamical systems, we then introduce a major theme of our survey, namely the relation of time-reversible dynamical sytems to equivariant and Hamiltonian dynamical systems. We follow with a survey of the state of the art on the theory of reversible dynamical systems, including results on symmetric periodic orbits, local bifurcation theory, homoclinic orbits, and renormalization and scaling. Some areas of physics and mathematics in which reversible dynamical systems arise are discussed. In an appendix, we provide an extensive bibliography on the topic of time-reversal symmetry in dynamical systems. Copyright © 1998 Elsevier Science E.V. All rights reserved.

Item Type:	Journal Article
Subjects:	R Medicine > R Medicine (General)
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	Physica D: Nonlinear Phenomena
Publisher:	Elsevier BV
ISSN:	0167-2789
Official Date:	15 January 1998
Dates:	Date Event 15 January 1998 Published
Volume:	112
Number:	1-2
Page Range:	pp. 1-39
DOI:	10.1016/S0167-2789(97)00199-1
Status:	Not Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

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