Linearization Models For Complex Dynamical Systems

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Linearization Models For Complex Dynamical Systems

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Author : Mark Elin
language : en
Publisher: Birkhäuser
Release Date : 2010-06-14

Linearization Models For Complex Dynamical Systems written by Mark Elin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-14 with Mathematics categories.

Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schröder’s and Abel’s functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory.

Linearization Methods For Stochastic Dynamic Systems

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Author : Leslaw Socha
language : en
Publisher: Springer
Release Date : 2007-11-30

Linearization Methods For Stochastic Dynamic Systems written by Leslaw Socha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-30 with Technology & Engineering categories.

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.

Holomorphic Dynamics On Hyperbolic Riemann Surfaces

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Author : Marco Abate
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-12-05

Holomorphic Dynamics On Hyperbolic Riemann Surfaces written by Marco Abate and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-05 with Mathematics categories.

This completely revised and updated edition of the one variable part of the author's classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.

Geometric Theory Of Discrete Nonautonomous Dynamical Systems

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Author : Christian Pötzsche
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-17

Geometric Theory Of Discrete Nonautonomous Dynamical Systems written by Christian Pötzsche and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-17 with Mathematics categories.

The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).

Numerical Range Of Holomorphic Mappings And Applications

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Author : Mark Elin
language : en
Publisher: Springer
Release Date : 2019-03-11

Numerical Range Of Holomorphic Mappings And Applications written by Mark Elin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-11 with Mathematics categories.

This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.

Continuous Semigroups Of Holomorphic Self Maps Of The Unit Disc

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Author : Filippo Bracci
language : en
Publisher: Springer Nature
Release Date : 2020-02-14

Continuous Semigroups Of Holomorphic Self Maps Of The Unit Disc written by Filippo Bracci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-14 with Mathematics categories.

The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions. The book includes precise descriptions of the behavior of trajectories, backward orbits, petals and boundary behavior in general, aiming to give a rather complete picture of all interesting phenomena that occur. In order to fulfill this task, we choose to introduce a new point of view, which is mainly based on the intrinsic dynamical aspects of semigroups in relation with the hyperbolic distance and a deep use of Carathéodory prime ends topology and Gromov hyperbolicity theory. This work is intended both as a reference source for researchers interested in the subject, and as an introductory book for beginners with a (undergraduate) background in real and complex analysis. For this purpose, the book is self-contained and all non-standard (and, mostly, all standard) results are proved in details.

Control And Dynamic Systems V18

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Author : C.T. Leonides
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Control And Dynamic Systems V18 written by C.T. Leonides and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.

Control and Dynamic Systems, Volume 18: Advances in Theory and Applications provides the techniques for the analysis and synthesis of large-scale complex systems. This book begins with a comprehensive treatment of component cost analysis of large-scale systems, including cost balancing methods for system design, failure mode analysis, model reduction techniques, and design of lower-order controllers that meet on-line controller software limitations. The problem of reduced-order modeling and filtering, linear multivariable systems synthesis techniques, and digital control of dynamical systems are deliberated in the next chapters. This publication concludes with the ship propulsion dynamics simulation and analysis and synthesis of complex distributed parameter systems. This volume is beneficial to students and researchers conducting work on advances in large-scale complex systems.

Dynamic Systems Biology Modeling And Simulation

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Author : Joseph DiStefano III
language : en
Publisher: Academic Press
Release Date : 2015-01-10

Dynamic Systems Biology Modeling And Simulation written by Joseph DiStefano III and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-10 with Science categories.

Dynamic Systems Biology Modeling and Simuation consolidates and unifies classical and contemporary multiscale methodologies for mathematical modeling and computer simulation of dynamic biological systems – from molecular/cellular, organ-system, on up to population levels. The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author's own modeling efforts, publications and teaching over half a century. Ambiguities in some concepts and tools are clarified and others are rendered more accessible and practical. The latter include novel qualitative theory and methodologies for recognizing dynamical signatures in data using structural (multicompartmental and network) models and graph theory; and analyzing structural and measurement (data) models for quantification feasibility. The level is basic-to-intermediate, with much emphasis on biomodeling from real biodata, for use in real applications. - Introductory coverage of core mathematical concepts such as linear and nonlinear differential and difference equations, Laplace transforms, linear algebra, probability, statistics and stochastics topics - The pertinent biology, biochemistry, biophysics or pharmacology for modeling are provided, to support understanding the amalgam of "math modeling with life sciences - Strong emphasis on quantifying as well as building and analyzing biomodels: includes methodology and computational tools for parameter identifiability and sensitivity analysis; parameter estimation from real data; model distinguishability and simplification; and practical bioexperiment design and optimization - Companion website provides solutions and program code for examples and exercises using Matlab, Simulink, VisSim, SimBiology, SAAMII, AMIGO, Copasi and SBML-coded models - A full set of PowerPoint slides are available from the author for teaching from his textbook. He uses them to teach a 10 week quarter upper division course at UCLA, which meets twice a week, so there are 20 lectures. They can easily be augmented or stretched for a 15 week semester course - Importantly, the slides are editable, so they can be readily adapted to a lecturer's personal style and course content needs. The lectures are based on excerpts from 12 of the first 13 chapters of DSBMS. They are designed to highlight the key course material, as a study guide and structure for students following the full text content - The complete PowerPoint slide package (~25 MB) can be obtained by instructors (or prospective instructors) by emailing the author directly, at: [email protected]

Linearization Methods For Stochastic Dynamic Systems

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Author : Leslaw Socha
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20

Linearization Methods For Stochastic Dynamic Systems written by Leslaw Socha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Technology & Engineering categories.

For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.

Modeling And Analysis Of Dynamic Systems Second Edition

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Author : Ramin S. Esfandiari
language : en
Publisher: CRC Press
Release Date : 2014-04-24

Modeling And Analysis Of Dynamic Systems Second Edition written by Ramin S. Esfandiari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-24 with Technology & Engineering categories.

Modeling and Analysis of Dynamic Systems, Second Edition introduces MATLAB®, Simulink®, and SimscapeTM and then uses them throughout the text to perform symbolic, graphical, numerical, and simulation tasks. Written for junior or senior level courses, the textbook meticulously covers techniques for modeling dynamic systems, methods of response analysis, and provides an introduction to vibration and control systems. These features combine to provide students with a thorough knowledge of the mathematical modeling and analysis of dynamic systems. See What’s New in the Second Edition: Coverage of modeling and analysis of dynamic systems ranging from mechanical to thermal using Simscape Utilization of Simulink for linearization as well as simulation of nonlinear dynamic systems Integration of Simscape into Simulink for control system analysis and design Each topic covered includes at least one example, giving students better comprehension of the subject matter. More complex topics are accompanied by multiple, painstakingly worked-out examples. Each section of each chapter is followed by several exercises so that students can immediately apply the ideas just learned. End-of-chapter review exercises help in learning how a combination of different ideas can be used to analyze a problem. This second edition of a bestselling textbook fully integrates the MATLAB Simscape Toolbox and covers the usage of Simulink for new purposes. It gives students better insight into the involvement of actual physical components rather than their mathematical representations.