Existence of cycle-time vectors for minmax functions in dimension 3
by Colin Sparrow
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Abstract: "We show that for all minmax functions F : R³ -> R³, the cycle time vector X=lim[subscript k -> infinity] Fsuperscript k/k exists. Our proof is dynamical in nature, and gives considerable insight into the asymptotic dynamics of minmax functions. It makes substantial use of a previous result of Gunawardena & Keane that [X overlined] and [X underlined] exist for a class of functions that includes minmax functions. An indication is given of how the argument may be extended to show the existence of the cycle-time vector for dimensions n> 3."
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Existence of cycle-time vectors for minmax functions in dimension 3
1996, Hewlett Packard
in English
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Cover title.
"February, 1996."
Includes bibliographical references.
Supported in part by BRIMS (Hewlett-Packard Basic Research Institute in Mathematical Sciences, Bristol, UK)
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| December 3, 2010 | Edited by Open Library Bot | Added subjects from MARC records. |
| December 10, 2009 | Created by WorkBot | add works page |