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 |
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
Title | Linearization Models for Complex Dynamical Systems PDF eBook |
Author | Mark Elin |
Publisher | Birkhäuser |
Pages | 268 |
Release | 2010-06-14 |
Genre | Mathematics |
ISBN | 9783034605083 |
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
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 |
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
Title | Complex Analysis and Dynamical Systems PDF eBook |
Author | Mark Agranovsky |
Publisher | Birkhäuser |
Pages | 373 |
Release | 2018-01-31 |
Genre | Mathematics |
ISBN | 3319701541 |
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
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 |
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
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 |
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
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 |
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.