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Evolutions of Tubes under Operability Constraints

✍ Scribed by Anne Gorre

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
259 KB
Volume
216
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper, we study the evolutions of tubes that can be regarded as set-valued maps with compact images from ‫ޒ‬ to a finite dimensional vector space X under q some constraints that we call operability constraints. We first recall some proper-Ε½ Ε½ . . Ε½ . ties of the mutational calculus in the metric space K K X , o‫މ‬ where K K X is the set of nonempty compact subsets of X, and o‫މ‬ is the Hausdorff distance. The main result is the geometric characterization of the dynamics of the tubes that satisfy the operability constraint.

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