Author: IEEE Circuits and Systems SocietyPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
APPLICATIONS OF LIE GROUP THEORY TO NONLINEAR NETWORK PROBLEMS- LECTURES PRESENTED AT A SPECIAL SESSION ON NEW TECHNIQUES AND CONCEPTS IN CIRCUITS AND SYSTEMS- INTERNATIONAL SYMPOSIUM ON CIRCUIT THEORY.
Author: IEEE Circuits and Systems SocietyPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Applications of lie group theory to nonlinear network problems
Author: Applications of Lie Group Theory to Nonlinear Network Problems
Author: C.A. DesoerIndex of Conference Proceedings Received
Author: British Library. Lending DivisionPublisher:
ISBN:
Category : Conference proceedings
Languages : en
Pages : 518
Book Description
Applications of Lie Group Theory to Nonlinear Network Problems
Author: Charles A. DesoerPublisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 92
Book Description
Directory of Published Proceedings
Author: Noncompact Lie Groups and Some of Their Applications
Author: Elizabeth A. TannerPublisher: Springer Science & Business Media
ISBN:
Category : Mathematics
Languages : en
Pages : 520
Book Description
This book contains lectures presented by mathematicians and mathematical physicists at the NATO Advanced Research Workshop on noncompact Lie groups held in San Antonio, Texas in January 1993. It touches almost every important topic in the modern theory of representations of noncompact Lie groups and Lie algebras, Lie supergroups and Lie superalgebras, and quantum groups. It also includes several of the applications of this theory.
Lectures on Lie Groups
Author: Wu Yi HsiangPublisher: World Scientific Publishing Company Incorporated
ISBN: 9789810235222
Category : Mathematics
Languages : en
Pages : 108
Book Description
This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of É. Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.
Nonlinear Dynamics and Chaos
Author: Steven H. StrogatzPublisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Ant Colony Optimization
Author: Marco DorigoPublisher: MIT Press
ISBN: 9780262042192
Category : Computers
Languages : en
Pages : 324
Book Description
An overview of the rapidly growing field of ant colony optimization that describes theoretical findings, the major algorithms, and current applications. The complex social behaviors of ants have been much studied by science, and computer scientists are now finding that these behavior patterns can provide models for solving difficult combinatorial optimization problems. The attempt to develop algorithms inspired by one aspect of ant behavior, the ability to find what computer scientists would call shortest paths, has become the field of ant colony optimization (ACO), the most successful and widely recognized algorithmic technique based on ant behavior. This book presents an overview of this rapidly growing field, from its theoretical inception to practical applications, including descriptions of many available ACO algorithms and their uses. The book first describes the translation of observed ant behavior into working optimization algorithms. The ant colony metaheuristic is then introduced and viewed in the general context of combinatorial optimization. This is followed by a detailed description and guide to all major ACO algorithms and a report on current theoretical findings. The book surveys ACO applications now in use, including routing, assignment, scheduling, subset, machine learning, and bioinformatics problems. AntNet, an ACO algorithm designed for the network routing problem, is described in detail. The authors conclude by summarizing the progress in the field and outlining future research directions. Each chapter ends with bibliographic material, bullet points setting out important ideas covered in the chapter, and exercises. Ant Colony Optimization will be of interest to academic and industry researchers, graduate students, and practitioners who wish to learn how to implement ACO algorithms.