Linearization Models for Complex Dynamical Systems

Linearization Models for Complex Dynamical Systems
Title Linearization Models for Complex Dynamical Systems PDF eBook
Author Mark Elin
Publisher Springer Science & Business Media
Pages 271
Release 2011-02-09
Genre Mathematics
ISBN 3034605099

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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 Models for Complex Dynamical Systems

Linearization Models for Complex Dynamical Systems
Title Linearization Models for Complex Dynamical Systems PDF eBook
Author Mark Elin
Publisher Birkhäuser
Pages 268
Release 2010-06-14
Genre Mathematics
ISBN 9783034605083

Download Linearization Models for Complex Dynamical Systems Book in PDF, Epub and Kindle

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

Linearization Methods for Stochastic Dynamic Systems
Title Linearization Methods for Stochastic Dynamic Systems PDF eBook
Author Leslaw Socha
Publisher Springer Science & Business Media
Pages 392
Release 2007-12-20
Genre Technology & Engineering
ISBN 3540729968

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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.

Complex Analysis and Dynamical Systems

Complex Analysis and Dynamical Systems
Title Complex Analysis and Dynamical Systems PDF eBook
Author Mark Agranovsky
Publisher Birkhäuser
Pages 373
Release 2018-01-31
Genre Mathematics
ISBN 3319701541

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This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.

Model Reduction of Complex Dynamical Systems

Model Reduction of Complex Dynamical Systems
Title Model Reduction of Complex Dynamical Systems PDF eBook
Author Peter Benner
Publisher Springer Nature
Pages 415
Release 2021-08-26
Genre Mathematics
ISBN 3030729834

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This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems – MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.

Complex Analysis and Dynamical Systems VI

Complex Analysis and Dynamical Systems VI
Title Complex Analysis and Dynamical Systems VI PDF eBook
Author Matania Ben-Artzi
Publisher American Mathematical Soc.
Pages 352
Release 2015-12-03
Genre Mathematics
ISBN 1470416530

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This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Complex Analysis and Dynamical Systems VI

Complex Analysis and Dynamical Systems VI
Title Complex Analysis and Dynamical Systems VI PDF eBook
Author Lawrence Zalcman
Publisher American Mathematical Soc.
Pages 354
Release 2016-05-19
Genre Mathematics
ISBN 1470417030

Download Complex Analysis and Dynamical Systems VI Book in PDF, Epub and Kindle

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.