UID:
almafu_9960962795702883
Format:
1 online resource (366 p.)
Edition:
1st ed.
ISBN:
3-11-036569-3
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3-11-039134-1
Series Statement:
De Gruyter studies in mathematics ; 62
Content:
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Note:
Description based upon print version of record.
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Frontmatter --
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Preface --
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Contents --
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Notation --
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List of Figures --
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1. How positive discrete dynamical systems do arise --
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2. Concave Perron-Frobenius theory --
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3. Internal metrics on convex cones --
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4. Contractive dynamics on metric spaces --
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5. Ascending dynamics in convex cones of infinite dimension --
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6. Limit set trichotomy --
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7. Non-autonomous positive systems --
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8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms --
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Index --
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Backmatter
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Issued also in print.
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English
Additional Edition:
ISBN 3-11-036571-5
Additional Edition:
ISBN 3-11-036975-3
Language:
English
Subjects:
Mathematics
Keywords:
Electronic books.
DOI:
10.1515/9783110365696
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