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Nonlinear Perron Frobenius Theory
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Book Synopsis Nonlinear Perron-Frobenius Theory by : Bas Lemmens
Download or read book Nonlinear Perron-Frobenius Theory written by Bas Lemmens and published by Cambridge University Press. This book was released on 2012-05-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Book Synopsis Nonlinear Perron-Frobenius Theory by : Bas Lemmens
Download or read book Nonlinear Perron-Frobenius Theory written by Bas Lemmens and published by . This book was released on 2012 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Positive Dynamical Systems in Discrete Time by : Ulrich Krause
Download or read book Positive Dynamical Systems in Discrete Time written by Ulrich Krause and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-03-10 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Book Synopsis Interval Methods for Systems of Equations by : A. Neumaier
Download or read book Interval Methods for Systems of Equations written by A. Neumaier and published by Cambridge University Press. This book was released on 1990 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Book Synopsis Positive Transfer Operators and Decay of Correlations by : Viviane Baladi
Download or read book Positive Transfer Operators and Decay of Correlations written by Viviane Baladi and published by World Scientific. This book was released on 2000 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Positive Dynamical Systems in Discrete Time by : Ulrich Krause
Download or read book Positive Dynamical Systems in Discrete Time written by Ulrich Krause and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-11-27 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Book Synopsis Theory and Applications of Coupled Map Lattices by : K. Kaneko
Download or read book Theory and Applications of Coupled Map Lattices written by K. Kaneko and published by . This book was released on 1993-04-13 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Optimization Theory and Operations Research: Recent Trends by : Yury Kochetov
Download or read book Mathematical Optimization Theory and Operations Research: Recent Trends written by Yury Kochetov and published by Springer Nature. This book was released on 2022-09-29 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Koopman Operator in Systems and Control by : Alexandre Mauroy
Download or read book The Koopman Operator in Systems and Control written by Alexandre Mauroy and published by Springer Nature. This book was released on 2020-02-22 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.
Book Synopsis Applied Nonlinear Control by : Jean-Jacques E. Slotine
Download or read book Applied Nonlinear Control written by Jean-Jacques E. Slotine and published by . This book was released on 1991 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.
Book Synopsis Templates for the Solution of Algebraic Eigenvalue Problems by : Zhaojun Bai
Download or read book Templates for the Solution of Algebraic Eigenvalue Problems written by Zhaojun Bai and published by SIAM. This book was released on 2000-01-01 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Book Synopsis Numerical Methods for Large Eigenvalue Problems by : Yousef Saad
Download or read book Numerical Methods for Large Eigenvalue Problems written by Yousef Saad and published by SIAM. This book was released on 2011-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Book Synopsis Defocusing Nonlinear Schrödinger Equations by : Benjamin Dodson
Download or read book Defocusing Nonlinear Schrödinger Equations written by Benjamin Dodson and published by Cambridge University Press. This book was released on 2019-03-28 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
Book Synopsis Hilbert's Projective Metric and Iterated Nonlinear Maps by : Roger D. Nussbaum
Download or read book Hilbert's Projective Metric and Iterated Nonlinear Maps written by Roger D. Nussbaum and published by American Mathematical Soc.. This book was released on 1988 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sobolev Spaces on Metric Measure Spaces by : Juha Heinonen
Download or read book Sobolev Spaces on Metric Measure Spaces written by Juha Heinonen and published by Cambridge University Press. This book was released on 2015-02-05 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.
Book Synopsis Linear Algebra for Economists by : Fuad Aleskerov
Download or read book Linear Algebra for Economists written by Fuad Aleskerov and published by Springer Science & Business Media. This book was released on 2011-08-18 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.
