UNSPECIFIED (1998) Time-reversal symmetry in dynamical systems: A survey. In: Workshop on Time-Reversal Symmetry in Dynamical Systems, DEC 09-23, 1996, WARWICK, ENGLAND.

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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 systems 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.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	PHYSICA D
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0167-2789
Date:	15 January 1998
Volume:	112
Number:	1-2
Number of Pages:	39
Page Range:	pp. 1-39
Publication Status:	Published
Title of Event:	Workshop on Time-Reversal Symmetry in Dynamical Systems
Location of Event:	WARWICK, ENGLAND
Date(s) of Event:	DEC 09-23, 1996
URI:	http://wrap.warwick.ac.uk/id/eprint/16060

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