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Nonlinear perron-probenius theory and dynamics of cone maps
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Lemmens, Bas (2006) Nonlinear perron-probenius theory and dynamics of cone maps. In: 2nd Multidisciplinary International Symposium on Positive Systems (POSTA 2006), Grenoble, FRANCE, AUG 30-SEP 01, 2006. Published in: POSITIVE SYSTEMS, PROCEEDINGS, 341 pp. 399-406. ISBN 3-540-34771-2. ISSN 0170-8643.
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Abstract
In this paper several recent results concerning the dynamics of order preserving (sub) homogeneous maps on polyhedral cones are reviewed. These results were obtained by the author in collaboration with Marianne Akian, Stephane Gaubert, Roger Nussbaum, Michael Scheutzow and Colin Sparrow in [2], [13] and [15] and are new nonlinear extensions of the Perron-Frobenius theory.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TL Motor vehicles. Aeronautics. Astronautics |
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Series Name: | LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES | ||||
Journal or Publication Title: | POSITIVE SYSTEMS, PROCEEDINGS | ||||
Publisher: | SPRINGER-VERLAG BERLIN | ||||
ISBN: | 3-540-34771-2 | ||||
ISSN: | 0170-8643 | ||||
Editor: | Commault, C and Marchand, N | ||||
Official Date: | 2006 | ||||
Dates: |
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Volume: | 341 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 399-406 | ||||
Publication Status: | Published | ||||
Title of Event: | 2nd Multidisciplinary International Symposium on Positive Systems (POSTA 2006) | ||||
Location of Event: | Grenoble, FRANCE | ||||
Date(s) of Event: | AUG 30-SEP 01, 2006 |
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