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REVIEW ARTICLES

Sectional Curvature and Chaos in Dynamical Problems: Toward the Invariant Measure of Chaos in Hamiltonian Systems

[+] Author and Article Information
Marek Szydłowski

Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Kraków, Poland

Adam Krawiec

Department of Economics, Jagiellonian University, Wiślna 2, 31-007 Kraków, Poland

Appl. Mech. Rev 46(7), 427-437 (Jul 01, 1993) (11 pages) doi:10.1115/1.3120371 History: Online April 29, 2009

Abstract

Chaotic phenomena in general relativity are investigated. In relativistic astrophysical problems no space-time coordinate system is privileged in any way as far as the physical description of phenomena is concerned. Effects which depend on the choice of the particular coordinate system should be treated as an artifact of the incorrect methods. To avoid such difficulties the gauge invariant theory of chaos is proposed.

Copyright © 1993 by American Society of Mechanical Engineers
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