Applied Algebraic Dynamics

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Applied Algebraic Dynamics

Vladimir Anashin,Andreĭ I︠U︡rʹevich Khrennikov
Applied Algebraic Dynamics Book PDF

Author : Vladimir Anashin,Andreĭ I︠U︡rʹevich Khrennikov
Publisher : Walter de Gruyter
Page : 558 pages
File Size : 45,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9783110203004

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Applied Algebraic Dynamics by Vladimir Anashin,Andreĭ I︠U︡rʹevich Khrennikov Pdf

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Applied Algebraic Dynamics

Vladimir Anashin,Andrei Khrennikov
Applied Algebraic Dynamics Book PDF

Author : Vladimir Anashin,Andrei Khrennikov
Publisher : Unknown
Page : 533 pages
File Size : 44,9 Mb
Release : 2009-06-02
Category : Electronic
ISBN : 3119162175

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Applied Algebraic Dynamics by Vladimir Anashin,Andrei Khrennikov Pdf

This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative groups. For students and researchers working on the theory of dynamical systems, algebra, number theory, measure theory, computer sciences, cryptography, and image analysis.

Applied Symbolic and Algebraic Dynamics

Daniel Silver,Susan Williams
Applied Symbolic and Algebraic Dynamics Book PDF

Author : Daniel Silver,Susan Williams
Publisher : de Gruyter
Page : 312 pages
File Size : 43,7 Mb
Release : 2019-01-15
Category : Electronic
ISBN : 3110479907

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Applied Symbolic and Algebraic Dynamics by Daniel Silver,Susan Williams Pdf

This monograph connects many different areas in mathematics by exploiting e.g. links between symbolic dynamics and combinatorial group theory as well as between integer polynomials and knot and graph theory. By offering a variety of recent results, researchers in algebra, knot and graph theory and dynamical systems may benefit from this treatise.

Dynamical Systems Method and Applications

Alexander G. Ramm,Nguyen S. Hoang
Dynamical Systems Method and Applications Book PDF

Author : Alexander G. Ramm,Nguyen S. Hoang
Publisher : John Wiley & Sons
Page : 522 pages
File Size : 40,8 Mb
Release : 2013-06-07
Category : Mathematics
ISBN : 9781118199602

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Dynamical Systems Method and Applications by Alexander G. Ramm,Nguyen S. Hoang Pdf

Demonstrates the application of DSM to solve a broad range of operator equations The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear problems as well as ill-posed and well-posed problems. The authors offer a clear, step-by-step, systematic development of DSM that enables readers to grasp the method's underlying logic and its numerous applications. Dynamical Systems Method and Applications begins with a general introduction and then sets forth the scope of DSM in Part One. Part Two introduces the discrepancy principle, and Part Three offers examples of numerical applications of DSM to solve a broad range of problems in science and engineering. Additional featured topics include: General nonlinear operator equations Operators satisfying a spectral assumption Newton-type methods without inversion of the derivative Numerical problems arising in applications Stable numerical differentiation Stable solution to ill-conditioned linear algebraic systems Throughout the chapters, the authors employ the use of figures and tables to help readers grasp and apply new concepts. Numerical examples offer original theoretical results based on the solution of practical problems involving ill-conditioned linear algebraic systems, and stable differentiation of noisy data. Written by internationally recognized authorities on the topic, Dynamical Systems Method and Applications is an excellent book for courses on numerical analysis, dynamical systems, operator theory, and applied mathematics at the graduate level. The book also serves as a valuable resource for professionals in the fields of mathematics, physics, and engineering.

Model Emergent Dynamics in Complex Systems

A. J. Roberts
Model Emergent Dynamics in Complex Systems Book PDF

Author : A. J. Roberts
Publisher : SIAM
Page : 760 pages
File Size : 50,5 Mb
Release : 2014-12-18
Category : Mathematics
ISBN : 9781611973556

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Model Emergent Dynamics in Complex Systems by A. J. Roberts Pdf

Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author’s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author’s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces—simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model’s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory. Audience Advanced undergraduate and graduate students, engineers, scientists, and other researchers who need to understand systems and modeling at different levels of resolution and complexity will all find this book useful.

Holomorphic Dynamical Systems

Nessim Sibony,Dierk Schleicher,Dinh Tien Cuong,Marco Brunella,Eric Bedford,Marco Abate
Holomorphic Dynamical Systems Book PDF

Author : Nessim Sibony,Dierk Schleicher,Dinh Tien Cuong,Marco Brunella,Eric Bedford,Marco Abate
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 40,6 Mb
Release : 2010-07-31
Category : Mathematics
ISBN : 9783642131707

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Holomorphic Dynamical Systems by Nessim Sibony,Dierk Schleicher,Dinh Tien Cuong,Marco Brunella,Eric Bedford,Marco Abate Pdf

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

Applied Nonlinear Dynamics

Ali H. Nayfeh,Balakumar Balachandran
Applied Nonlinear Dynamics Book PDF

Author : Ali H. Nayfeh,Balakumar Balachandran
Publisher : John Wiley & Sons
Page : 700 pages
File Size : 42,9 Mb
Release : 2008-11-20
Category : Science
ISBN : 9783527617555

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Applied Nonlinear Dynamics by Ali H. Nayfeh,Balakumar Balachandran Pdf

A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Geometry and Dynamics of Integrable Systems

Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Zung
Geometry and Dynamics of Integrable Systems Book PDF

Author : Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Zung
Publisher : Birkhäuser
Page : 140 pages
File Size : 55,7 Mb
Release : 2016-10-27
Category : Mathematics
ISBN : 9783319335032

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Geometry and Dynamics of Integrable Systems by Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Zung Pdf

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Applied Algebra and Functional Analysis

Anthony N. Michel,Charles J. Herget
Applied Algebra and Functional Analysis Book PDF

Author : Anthony N. Michel,Charles J. Herget
Publisher : Courier Corporation
Page : 514 pages
File Size : 48,8 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780486675985

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Applied Algebra and Functional Analysis by Anthony N. Michel,Charles J. Herget Pdf

"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Marc Fossorier,Tom Hoeholdt,Alain Poli
Applied Algebra Algebraic Algorithms and Error Correcting Codes Book PDF

Author : Marc Fossorier,Tom Hoeholdt,Alain Poli
Publisher : Springer
Page : 275 pages
File Size : 45,7 Mb
Release : 2003-08-03
Category : Mathematics
ISBN : 9783540448280

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by Marc Fossorier,Tom Hoeholdt,Alain Poli Pdf

This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-15, held in Toulouse, France, in May 2003.The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Simulation Techniques for Applied Dynamics

Martin Arnold,Werner Schiehlen
Simulation Techniques for Applied Dynamics Book PDF

Author : Martin Arnold,Werner Schiehlen
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 41,5 Mb
Release : 2009-06-15
Category : Technology & Engineering
ISBN : 9783211895481

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Simulation Techniques for Applied Dynamics by Martin Arnold,Werner Schiehlen Pdf

The coupling of models from different physical domains and the efficient and reliable simulation of multidisciplinary problems in engineering applications are important topics for various fields of engineering, in simulation technology and in the development and analysis of numerical solvers. The volume presents advanced modelling and simulation techniques for the dynamical analysis of coupled engineering systems consisting of mechanical, electrical, hydraulic and biological components as well as control devices often based on computer hardware and software. The book starts with some basics in multibody dynamics and in port-based modelling and focuses on the modelling and simulation of heterogeneous systems with special emphasis on robust and efficient numerical solution techniques and on a variety of applied problems including case studies of co-simulation in industrial applications, methods and problems of model based controller design and real-time application.

Intermediate Dynamics

R.A. Howland
Intermediate Dynamics Book PDF

Author : R.A. Howland
Publisher : Springer Science & Business Media
Page : 551 pages
File Size : 52,5 Mb
Release : 2005-09-16
Category : Science
ISBN : 9780387280592

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Intermediate Dynamics by R.A. Howland Pdf

Complete, rigorous review of Linear Algebra, from Vector Spaces to Normal Forms Emphasis on more classical Newtonian treatment (favored by Engineers) of rigid bodies, and more modern in greater reliance on Linear Algebra to get inertia matrix and deal with machines Develops Analytical Dynamics to allow the introduction of friction

Algebraic Dynamical Systems

Peter Bongaarts
Algebraic Dynamical Systems Book PDF

Author : Peter Bongaarts
Publisher : Unknown
Page : 154 pages
File Size : 50,9 Mb
Release : 2018-07-24
Category : Electronic
ISBN : 1927763525

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Algebraic Dynamical Systems by Peter Bongaarts Pdf

This book describes a formalism to describe simultaneously and side by side classical and quantum physical systems. It is mathematically completely equivalent to the standard description, but it makes it more easy to compare the two type of systems. It is attractive because it unifies different systems, but it has also interesting applications, some of which are discussed in this book.There is a very important application, namely to the interpretation of quantum theory, a subject on which an enormous literature exists. With this formalism it can be rigorously shown that most of this literature is erroneous, or irrelevant, at best. This will be treated in a future publication. Peter Bongaarts taught for 35 years theoretical and mathematical physics at the University of Leiden. In 2015 he published "Quantum Theory. A Mathematical Approach."

Understanding Nonlinear Dynamics

Daniel Kaplan,Leon Glass
Understanding Nonlinear Dynamics Book PDF

Author : Daniel Kaplan,Leon Glass
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208235

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Understanding Nonlinear Dynamics by Daniel Kaplan,Leon Glass Pdf

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Differential Equations, Dynamical Systems, and Linear Algebra

Morris W. Hirsch,Robert L. Devaney,Stephen Smale
Differential Equations Dynamical Systems and Linear Algebra Book PDF

Author : Morris W. Hirsch,Robert L. Devaney,Stephen Smale
Publisher : Academic Press
Page : 358 pages
File Size : 54,6 Mb
Release : 1974-06-28
Category : Mathematics
ISBN : 9780080873763

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Differential Equations, Dynamical Systems, and Linear Algebra by Morris W. Hirsch,Robert L. Devaney,Stephen Smale Pdf

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.