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Author: Mark Elin Publisher: Birkhäuser ISBN: 9783034605083 Category : Mathematics Languages : en Pages : 268
Book Description
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.
Author: Mark Elin Publisher: Birkhäuser ISBN: 9783034605083 Category : Mathematics Languages : en Pages : 268
Book Description
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.
Author: Mark Elin Publisher: Springer Science & Business Media ISBN: 3034605099 Category : Mathematics Languages : en Pages : 268
Book Description
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.
Author: Leslaw Socha Publisher: Springer Science & Business Media ISBN: 3540729968 Category : Technology & Engineering Languages : en Pages : 392
Book Description
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.
Author: Krzysztof Kowalski Publisher: World Scientific ISBN: 9814506346 Category : Mathematics Languages : en Pages : 192
Book Description
The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems. Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications. It also includes a review of existing alternative methods for linearization of nonlinear dynamical systems. There are probably no books covering such a wide spectrum of linearization algorithms. This book also gives a comprehensive introduction to the Kronecker product of matrices, whereas most books deal with it only superficially. The Kronecker product of matrices plays an important role in mathematics and in applications found in theoretical physics.
Author: Lawrence Zalcman Publisher: American Mathematical Soc. ISBN: 1470417030 Category : Calculus of variations Languages : en Pages : 316
Book Description
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.
Author: Matania Ben-Artzi Publisher: American Mathematical Soc. ISBN: 1470416530 Category : Calculus of variations Languages : en Pages : 313
Book Description
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).
Author: Vladimir G Ivancevic Publisher: World Scientific ISBN: 981463588X Category : Science Languages : en Pages : 612
Book Description
The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature. Contents:IntroductionLocal Geometrical Machinery for Complexity and ControlGlobal Categorical Framework for Complexity and ControlDynamics of Crowd Behaviors: From Complex Plane to Quantum Random FieldsHierarchical Self-Similarity in Group and Crowd BehaviorsHybrid Topological Lie-Hamiltonian Learning in Evolving Energy LandscapesComplexity and Control in Solitary Conductive PDEsQuantum-Computation for Perceptual Control ArchitectureComplexity and Control in Entropic and Stochastic Self-OrganizationCrash Simulator: Brain-and-Spine Injury MechanicsConclusionCode Samples Used for Complexity and Control Readership: Professional and researchers in the field of nonlinear science, chaos and dynamical and complex systems. Key Features:Unique approach of generalized dynamics, rooted in the most powerful Kähler geometry, combining Lagrangian, Hamiltonian and quantum systemsUnique visual framework of commutative diagrams and n-categoriesPlenty of computational algorithms in Mathematica, Matlab, C#, C/C++ and Fortran 90Keywords:Generalized Dynamics;Kähler Geometry;Lagrangian;Hamiltonian and Quantum Systems
Author: Peter Benner Publisher: Springer Nature ISBN: 3030729834 Category : Mathematics Languages : en Pages : 415
Book Description
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.
Author: Leslaw Socha Publisher: Springer ISBN: 9783540839385 Category : Technology & Engineering Languages : en Pages : 383
Book Description
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.
Author: Visarath In Publisher: Springer Science & Business Media ISBN: 3540856323 Category : Technology & Engineering Languages : en Pages : 464
Book Description
The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.
Author: Mark Elin
Author: Mark Elin
Author: Mark Elin
Author: Leslaw Socha
Author: Krzysztof Kowalski
Author: Lawrence Zalcman
Author: Matania Ben-Artzi
Author: Vladimir G Ivancevic
Author: Peter Benner
Author: Leslaw Socha
Author: Visarath In