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Dynamical Systems Symplectic Geometry And Its Applications 2nd Exp Rev Ed V 5 Bifurcation Theory And Catastrophe Theory 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 Symplectic Geometry And Its Applications 2nd Exp Rev Ed V 5 Bifurcation Theory And Catastrophe Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 1988
Category : Celestial mechanics
ISBN : OCLC:16404140
Author : S.P. Novikov
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 40,7 Mb
Release : 2001-06-20
Category : Mathematics
ISBN : 3540626352
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
Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 43,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662067918
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
Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer
Page : 336 pages
File Size : 47,9 Mb
Release : 2014-03-12
Category : Mathematics
ISBN : 3662067927
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
Author : V.I. ED. ARNOLD
Publisher : Unknown
Page : 0 pages
File Size : 49,8 Mb
Release : 1990
Category : Electronic
ISBN : OCLC:1338246791
Author : Mario Bernardo,Chris Budd,Alan Richard Champneys,Piotr Kowalczyk
Publisher : Springer Science & Business Media
Page : 497 pages
File Size : 54,7 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9781846287084
This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.
Author : R P Agarwal
Publisher : World Scientific
Page : 712 pages
File Size : 40,8 Mb
Release : 1995-11-07
Category : Science
ISBN : 9789814499989
World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. For the past twenty five years, there has been an explosion of interest in the study of nonlinear dynamical systems. Mathematical techniques developed during this period have been applied to important nonlinear problems ranging from physics and chemistry to ecology and economics. All these developments have made dynamical systems theory an important and attractive branch of mathematics to scientists in many disciplines. This rich mathematical subject has been partially represented in this collection of 45 papers by some of the leading researchers in the area. This volume contains 45 state-of-art articles on the mathematical theory of dynamical systems by leading researchers. It is hoped that this collection will lead new direction in this field. Contributors: B Abraham-Shrauner, V Afraimovich, N U Ahmed, B Aulbach, E J Avila-Vales, F Battelli, J M Blazquez, L Block, T A Burton, R S Cantrell, C Y Chan, P Collet, R Cushman, M Denker, F N Diacu, Y H Ding, N S A El-Sharif, J E Fornaess, M Frankel, R Galeeva, A Galves, V Gershkovich, M Girardi, L Gotusso, J Graczyk, Y Hino, I Hoveijn, V Hutson, P B Kahn, J Kato, J Keesling, S Keras, V Kolmanovskii, N V Minh, V Mioc, K Mischaikow, M Misiurewicz, J W Mooney, M E Muldoon, S Murakami, M Muraskin, A D Myshkis, F Neuman, J C Newby, Y Nishiura, Z Nitecki, M Ohta, G Osipenko, N Ozalp, M Pollicott, Min Qu, Donal O-Regan, E Romanenko, V Roytburd, L Shaikhet, J Shidawara, N Sibony, W-H Steeb, C Stoica, G Swiatek, T Takaishi, N D Thai Son, R Triggiani, A E Tuma, E H Twizell, M Urbanski; T D Van, A Vanderbauwhede, A Veneziani, G Vickers, X Xiang, T Young, Y Zarmi. Contents:Lie Symmetries, Hidden Symmetries and Time-Dependent Invariants (B Abraham-Shrauner)Generalization of a Theorem of Malta and Palis (V Afraimovich & T Young)Asymptotic Distribution of Entrance Times for Expanding Maps of the Interval (P Collet & A Galves)Conformal Measures and S-Unimodal Maps (M Denker et al.)Holomorphic Symplectomorphisms in C2 (J E Fornæss & N Sibony)On Simplest Engel Structures on 4-Manifolds (V Gershkovich)Polynomial-Like Mappings Induced by Real Polynomials (J Graczyk & G (wiatek)General Method of Lyapunov Functionals Construction for Stability Investigation of Stochastic Difference Equations (V Kolmanovskii & L Shaikhet)Continuity of Entropy Revisited (M Misiurewicz)Infinitesimal Rigidity of Group Actions with Hyperbolic Generators (M Pollicott)and other papers Readership: Researchers in applied mathematics and mathematical physicists. keywords:Dynamical Systems;Nonlinear Dynamical Systems;Physics;Chemistry;Ecology;Economics
Author : D. V. Anosov
Publisher : Springer Verlag
Page : 233 pages
File Size : 50,5 Mb
Release : 1988
Category : Science
ISBN : 0387170006
1. Ordinary differential equations and smooth dynamical systems by D.V. Anosov, V.I. Arnold (eds.). 2. Ergodic theory with applications to dynamical systems an d statistical mechanics by Ya. G. Sinai (ed.). 3. [without special title]. 4. S ymplectic geometry and its applications by V.I. Arnold, S.P. Novikov (eds.).
Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 41,9 Mb
Release : 2013-12-14
Category : Mathematics
ISBN : 9783662067963
A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.
Author : Anonim
Publisher : Unknown
Page : 1702 pages
File Size : 40,9 Mb
Release : 1990
Category : English imprints
ISBN : UOM:39015033852941
Author : S.T. Zavalishchin,A.N. Sesekin
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 52,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9789401588935
A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators, and of quantum physics, eco momics and biology, have an irregular structure: classical variational proce dures do not formally make it possible to find optimal controls that, as we explain, have an impulse character. This and other well-known facts lead to the necessity for constructing dynamical models using the concept of a gener alized function (Schwartz distribution). The problem ofthe systematization of such models is very important. In particular, the problem of the construction of the general form of linear and nonlinear operator equations in distributions is timely. Another problem is related to the proper determination of solutions of equations that have nonlinear operations over generalized functions in their description. It is well-known that "the value of a distribution at a point" has no meaning. As a result the problem to construct the concept of stability for generalized processes arises. Finally, optimization problems for dynamic systems in distributions need finding optimality conditions. This book contains results that we have obtained in the above-mentioned directions. The aim of the book is to provide for electrical and mechanical engineers or mathematicians working in applications, a general and systematic treat ment of dynamic systems based on up-to-date mathematical methods and to demonstrate the power of these methods in solving dynamics of systems and applied control problems.
Author : D.V. Anosov
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 43,7 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662031728
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).
Author : Stephen Wiggins
Publisher : Springer Science & Business Media
Page : 860 pages
File Size : 48,5 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387217499
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
Author : Vladimir I. Arnol'd
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 48,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662025352
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.
Author : James T. Sandefur
Publisher : Oxford University Press, USA
Page : 472 pages
File Size : 54,8 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015062468114
This textbook is an elementary introduction to the world of dynamical systems and Chaos. Dynamical systems provide a mathematical means of modeling and analysing aspects of the changing world around us. The aim of this ground-breaking new text is to introduce the reader both to the wide variety of techniques used to study dynamical systems and to their many applications. In particular, investigation of dynamical systems leads to the important concepts of stability, strange attractors, Chaos, and fractals.