Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2001
Category : Celestial mechanics
ISBN : OCLC:48506325
Dynamical Systems
Anonim
Dynamical Systems Iv
Dynamical Systems Iv 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 Dynamical Systems Iv book. This book definitely worth reading, it is an incredibly well-written.
Dynamical Systems IV
V.I. Arnol'd,S.P. Novikov
Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 53,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662067932
Dynamical Systems IV by V.I. Arnol'd,S.P. Novikov Pdf
This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field.
Dynamical Systems IV
V.I. Arnol'd,S.P. Novikov
Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer
Page : 344 pages
File Size : 41,5 Mb
Release : 2001-06-20
Category : Mathematics
ISBN : 3540626352
Dynamical Systems IV by V.I. Arnol'd,S.P. Novikov Pdf
From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992
DYNAMICAL SYSTEMS IV, SYMPLECTIC GEOMETRY AND ITS APPLICATIONS.
V.I. ED. ARNOLD
Author : V.I. ED. ARNOLD
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 1990
Category : Electronic
ISBN : OCLC:1338246791
DYNAMICAL SYSTEMS IV, SYMPLECTIC GEOMETRY AND ITS APPLICATIONS. by V.I. ED. ARNOLD Pdf
Complex Analysis and Dynamical Systems IV
Mark Lʹvovich Agranovskiĭ
Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 53,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821851975
Complex Analysis and Dynamical Systems IV by Mark Lʹvovich Agranovskiĭ Pdf
The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.
Dynamical Systems IV
V.I. Arnol'd,S.P. Novikov
Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer
Page : 0 pages
File Size : 48,9 Mb
Release : 2001-06-20
Category : Mathematics
ISBN : 3540626352
Dynamical Systems IV by V.I. Arnol'd,S.P. Novikov Pdf
From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992
Dynamical Systems
Anonim
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 1990
Category : Celestial mechanics
ISBN : OCLC:1109384532
Dynamical Systems by Anonim Pdf
Dynamical Systems IV
Anonim
Author : Anonim
Publisher : Unknown
Page : 335 pages
File Size : 44,9 Mb
Release : 2001
Category : Celestial mechanics
ISBN : OCLC:47767721
Dynamical Systems IV by Anonim Pdf
Handbook of Dynamical Systems
B. Fiedler
Author : B. Fiedler
Publisher : Gulf Professional Publishing
Page : 1099 pages
File Size : 43,9 Mb
Release : 2002-02-21
Category : Science
ISBN : 9780080532844
Handbook of Dynamical Systems by B. Fiedler Pdf
This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others. While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.
Dynamical Systems and Chaos
Henk Broer,Floris Takens
Author : Henk Broer,Floris Takens
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 41,5 Mb
Release : 2010-10-20
Category : Mathematics
ISBN : 9781441968708
Dynamical Systems and Chaos by Henk Broer,Floris Takens Pdf
Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.
Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
A.K. Prykarpatsky,I.V. Mykytiuk
Author : A.K. Prykarpatsky,I.V. Mykytiuk
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 43,5 Mb
Release : 2013-04-09
Category : Science
ISBN : 9789401149945
Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds by A.K. Prykarpatsky,I.V. Mykytiuk Pdf
In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson brackets. Very often such Poisson structures on corresponding manifolds are canonical, which gives rise to the possibility of producing their hidden group theoretical essence for many completely integrable dynamical systems. It is a well understood fact that great part of comprehensive integrability theories of nonlinear dynamical systems on manifolds is based on Lie-algebraic ideas, by means of which, in particular, the classification of such compatibly bi Hamiltonian and isospectrally Lax type integrable systems has been carried out. Many chapters of this book are devoted to their description, but to our regret so far the work has not been completed. Hereby our main goal in each analysed case consists in separating the basic algebraic essence responsible for the complete integrability, and which is, at the same time, in some sense universal, i. e. , characteristic for all of them. Integrability analysis in the framework of a gradient-holonomic algorithm, devised in this book, is fulfilled through three stages: 1) finding a symplectic structure (Poisson bracket) transforming an original dynamical system into a Hamiltonian form; 2) finding first integrals (action variables or conservation laws); 3) defining an additional set of variables and some functional operator quantities with completely controlled evolutions (for instance, as Lax type representation).
Dynamical Systems IX
D.V. Anosov
Author : D.V. Anosov
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 55,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662031728
Dynamical Systems IX by D.V. Anosov Pdf
This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "significant" subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a saddle. If there are "sufficiently many" such trajectories and the phase space is compact, then although they "tend to diverge from one another" as it were, they "have nowhere to go" and their behaviour acquires a complicated intricate character. (In the physical literature one often talks about "chaos" in such situations. ) This type of be haviour would appear to be the opposite of the more customary and simple type of behaviour characterized by its own kind of stability and regularity of the motions (these words are for the moment not being used as a strict ter 1 minology but rather as descriptive informal terms). The ergodic properties of DS's with hyperbolic behaviour of trajectories (Bunimovich et al. 1985) have already been considered in Volume 2 of this series. In this volume we therefore consider mainly the properties of a topological character (see below 2 for further details).
Structure of Dynamical Systems
J.M. Souriau
Author : J.M. Souriau
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461202813
Structure of Dynamical Systems by J.M. Souriau Pdf
The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.
Invitation to Dynamical Systems
Edward R. Scheinerman
Author : Edward R. Scheinerman
Publisher : Courier Corporation
Page : 408 pages
File Size : 46,7 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486275321
Invitation to Dynamical Systems by Edward R. Scheinerman Pdf
This text is designed for those who wish to study mathematics beyond linear algebra but are unready for abstract material. Rather than a theorem-proof-corollary exposition, it stresses geometry, intuition, and dynamical systems. 1996 edition.
Smooth Dynamical Systems
M C Irwin
Author : M C Irwin
Publisher : World Scientific
Page : 272 pages
File Size : 43,5 Mb
Release : 2001-04-30
Category : Science
ISBN : 9789814491204
Smooth Dynamical Systems by M C Irwin Pdf
This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area. Request Inspection Copy Contents: Some Simple ExamplesEquivalent SystemsIntegration of Vector FieldsLinear Systems, Linearization, Stable ManifoldsStable SystemsAppendices Readership: Graduate students in mathematics. Keywords:
