Nonlinear Perron-Frobenius Theory PDF Download
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Author: Bas Lemmens
Publisher: Cambridge University Press
ISBN: 0521898811
Category : Mathematics
Languages : en
Pages : 337
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Book Description
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author: Bas Lemmens
Publisher: Cambridge University Press
ISBN: 0521898811
Category : Mathematics
Languages : en
Pages : 337
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Book Description
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author: Bas Lemmens
Publisher:
ISBN: 9781107226340
Category : Algebras, Linear
Languages : en
Pages : 323
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Book Description
In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology.
Author: Ulrich Krause
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110365693
Category : Mathematics
Languages : en
Pages : 366
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Book Description
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)
Author: Ulrich Krause
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110391341
Category : Mathematics
Languages : en
Pages : 429
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Book Description
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)
Author: A. Neumaier
Publisher: Cambridge University Press
ISBN: 052133196X
Category : Mathematics
Languages : en
Pages : 275
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Book Description
Mathematics of Computing -- Numerical Analysis.
Author: Yury Kochetov
Publisher: Springer Nature
ISBN: 3031162242
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This book constitutes refereed proceedings of the 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022, held in Petrozavodsk, Russia, in July 2022. The 21 full papers and 3 short papers presented in this volume were carefully reviewed and selected from a total of 88 submissions. The papers in the volume are organised according to the following topical headings: invited talks; integer programming and combinatorial optimization; mathematical programming; game theory and optimal control; operational research applications.
Author: Viviane Baladi
Publisher: World Scientific
ISBN: 9789810233280
Category : Science
Languages : en
Pages : 332
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Book Description
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system ?mixes?, i.e. ?forgets? its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.
Author: K. Kaneko
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 208
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Book Description
The technique of the coupled map lattice (CML) is a rapidly developing field in nonlinear dynamics at present. This book gives a fully illustrative overview of current research in the field. A CML is a dynamical system in which there is some interaction ('coupled') between continuous state elements, which evolve in discrete time ('map') and are distributed on a discrete space ('lattice'). This book investigates both the theoretical aspects and applications of CMLs to spatially extended systems in nonlinear dynamical systems.
Author: Benjamin Dodson
Publisher: Cambridge University Press
ISBN: 1108472087
Category : Mathematics
Languages : en
Pages : 255
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Book Description
Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
Author: V. Lakshmikantham
Publisher: Walter de Gruyter
ISBN: 3110883236
Category : Mathematics
Languages : en
Pages : 4040
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Book Description
