Author : Konstantinos Efstathiou
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 48,5 Mb
Release : 2005
Category : Hamiltonian systems
ISBN : 354024316X
Metamorphoses Of Hamiltonian Systems With Symmetries
Metamorphoses Of Hamiltonian Systems With Symmetries Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Metamorphoses Of Hamiltonian Systems With Symmetries book. This book definitely worth reading, it is an incredibly well-written.
Symmetries, Topology and Resonances in Hamiltonian Mechanics
Author : Valerij V. Kozlov
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642783937
Symmetries, Topology and Resonances in Hamiltonian Mechanics by Valerij V. Kozlov Pdf
John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together" (Amer. Math. Monthly, November 1989). Kozlov's book is a systematic introduction to the problem of exact integration of equations of dynamics. The key to the solution is to find nontrivial symmetries of Hamiltonian systems. After Poincaré's work it became clear that topological considerations and the analysis of resonance phenomena play a crucial role in the problem on the existence of symmetry fields and nontrivial conservation laws.
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
Author : Heinz Hanßmann
Publisher : Springer
Page : 242 pages
File Size : 42,8 Mb
Release : 2006-10-18
Category : Mathematics
ISBN : 9783540388968
Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems by Heinz Hanßmann Pdf
This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.
Symmetries for Dynamical and Hamiltonian Systems
Author : H. M. M. ten Eikelder
Publisher : Unknown
Page : 214 pages
File Size : 52,7 Mb
Release : 1985
Category : Differentiable dynamical systems
ISBN : UOM:39015015607230
Symmetries for Dynamical and Hamiltonian Systems by H. M. M. ten Eikelder Pdf
Dynamics and Symmetry
Author : Mike Field
Publisher : World Scientific
Page : 493 pages
File Size : 51,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9781860948282
Dynamics and Symmetry by Mike Field Pdf
This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques, in particular, equivariant transversality. This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems.This book also provides a general and comprehensive introduction to codimension one equivariant bifurcation theory. In particular, it includes the bifurcation theory developed with Roger Richardson on subgroups of reflection groups and the Maximal Isotropy Subgroup Conjecture. A number of general results are also given on the global theory. Introductory material on groups, representations and G-manifolds are covered in the first three chapters of the book. In addition, a self-contained introduction of equivariant transversality is given, including necessary results on stratifications as well as results on equivariant jet transversality developed by Edward Bierstone.
Mathematics of Complexity and Dynamical Systems
Author : Robert A. Meyers
Publisher : Springer Science & Business Media
Page : 1885 pages
File Size : 44,5 Mb
Release : 2011-10-05
Category : Mathematics
ISBN : 9781461418054
Mathematics of Complexity and Dynamical Systems by Robert A. Meyers Pdf
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
13th Chaotic Modeling and Simulation International Conference
Author : Christos H. Skiadas,Yiannis Dimotikalis
Publisher : Springer Nature
Page : 1080 pages
File Size : 49,8 Mb
Release : 2021-12-14
Category : Mathematics
ISBN : 9783030707958
13th Chaotic Modeling and Simulation International Conference by Christos H. Skiadas,Yiannis Dimotikalis Pdf
Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
The Complexity of Dynamical Systems
Author : Johan Dubbeldam,Kirk Green,Daan Lenstra
Publisher : John Wiley & Sons
Page : 261 pages
File Size : 51,6 Mb
Release : 2011-02-21
Category : Science
ISBN : 9783527409310
The Complexity of Dynamical Systems by Johan Dubbeldam,Kirk Green,Daan Lenstra Pdf
Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.
Symmetry and Perturbation Theory
Author : Giuseppe Gaeta,Raffaele Vitolo,Sebastian Walcher
Publisher : World Scientific
Page : 311 pages
File Size : 49,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812776174
Symmetry and Perturbation Theory by Giuseppe Gaeta,Raffaele Vitolo,Sebastian Walcher Pdf
This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil''shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii. Sample Chapter(s). Foreword (101 KB). Chapter 1: Homogeneous Bi-Lagrangian Manifolds and Invariant Monge-Ampere Equations (415 KB). Contents: On Darboux Integrability (I M Anderson et al.); Computing Curvature without Christoffel Symbols (S Benenti); Natural Variational Principles (D Krupka); Fuzzy Fractional Monodromy (N N Nekhoroshev); Emergence of Slow Manifolds in Nonlinear Wave Equations (F Verhulst); Complete Symmetry Groups and Lie Remarkability (K Andriopoulos); Geodesically Equivalent Flat Bi-Cofactor Systems (K Marciniak); On the Dihedral N-Body Problem (A Portaluri); Towards Global Classifications: A Diophantine Approach (P van der Kamp); and other papers. Readership: Researchers and students (graduate/advanced undergraduates) in mathematics, applied mathematics, physics and nonlinear science.
Symmetry and Perturbation Theory
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814472470
Symmetry and Perturbation Theory by Anonim Pdf
Geometric Mechanics and Symmetry
Author : James Montaldi,Tudor Ratiu
Publisher : Cambridge University Press
Page : 416 pages
File Size : 55,7 Mb
Release : 2005-05-05
Category : Mathematics
ISBN : 0521539579
Geometric Mechanics and Symmetry by James Montaldi,Tudor Ratiu Pdf
The lectures in this 2005 book are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems.
Geometric Theory of Discrete Nonautonomous Dynamical Systems
Author : Christian Pötzsche
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 53,8 Mb
Release : 2010-09-17
Category : Mathematics
ISBN : 9783642142574
Geometric Theory of Discrete Nonautonomous Dynamical Systems by Christian Pötzsche Pdf
The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).
Spin Glasses
Author : Erwin Bolthausen,Anton Bovier
Publisher : Springer
Page : 187 pages
File Size : 40,8 Mb
Release : 2007-01-11
Category : Science
ISBN : 9783540409083
Spin Glasses by Erwin Bolthausen,Anton Bovier Pdf
This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.
A Theory of Shape Identification
Author : Frédéric Cao,José-Luis Lisani,Jean-Michel Morel,Pablo Musé,Frédéric Sur
Publisher : Springer
Page : 260 pages
File Size : 42,8 Mb
Release : 2008-08-17
Category : Mathematics
ISBN : 9783540684817
A Theory of Shape Identification by Frédéric Cao,José-Luis Lisani,Jean-Michel Morel,Pablo Musé,Frédéric Sur Pdf
Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300. Technically speaking, there are two main issues. The first is extracting invariant shape descriptors from digital images. Indeed, a shape can be seen from various angles and distances and in various lights.
Morrey and Campanato Meet Besov, Lizorkin and Triebel
Author : Wen Yuan,Winfried Sickel,Dachun Yang
Publisher : Springer
Page : 288 pages
File Size : 45,6 Mb
Release : 2010-09-02
Category : Mathematics
ISBN : 9783642146060
Morrey and Campanato Meet Besov, Lizorkin and Triebel by Wen Yuan,Winfried Sickel,Dachun Yang Pdf
During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. Based on three formally different developments, namely, the theory of Besov and Triebel-Lizorkin spaces, the theory of Morrey and Campanato spaces and the theory of Q spaces, the authors develop a unified framework for all of these spaces. As a byproduct, the authors provide a completion of the theory of Triebel-Lizorkin spaces when p = ∞.