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Positive Dynamical Systems in Discrete Time

Theory, Models, and Applications

(Autor)

Buch | Hardcover
XV, 348 Seiten
2015
De Gruyter (Verlag)
978-3-11-036975-5 (ISBN)
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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
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)

Ulrich Krause, University of Bremen, Bremen, Germany.

Erscheint lt. Verlag 19.1.2015
Reihe/Serie De Gruyter Studies in Mathematics ; 62
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 733 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte (Concave) Perron-Frobenius Theory • (Concave) Perron-Frobenius Theory; Nonlinear Difference Equations; Nonlinear Positive Operators; Nonautonomous Dynamical Systems; Opinion Dynamics; Iteration of Means; Swarm Dynamics • Iteration of Means • Nichtlineare Differenzengleichungen • Nichtlineare positive Operatoren • Nonautonomous dynamical systems • Nonlinear Difference Equations • Nonlinear Positive Operators • Opinion Dynamics • Perron-Frobenius Theorie • Positive Dynamische Systeme • Swarm Dynamics
ISBN-10 3-11-036975-3 / 3110369753
ISBN-13 978-3-11-036975-5 / 9783110369755
Zustand Neuware
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