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Prog. Theor. Phys. Vol. 68 No. 3 (1982) pp. 989-991
Letters
Two Theorems for Time-Dependent Dynamical Systems
James L. Reid and
John J. Cullen
Department of Physics and Astronomy, The University of Georgia, Athens, Georgia 30602
(Received April 12, 1982)
Abstract:
We prove two theorems for certain classes of second order ordinary differential equations that model many time-dependent dynamical systems. The theorems reveal an inherent relatedness between an equation of motion, an auxiliary equation and a third (autonomous) equation. From this relatedness follow several features of time-dependent systems.
URL :
http://ptp.ipap.jp/link?PTP/68/989/
DOI : 10.1143/PTP.68.989
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