Global Differentiable Dynamics

Author : O. Hájek
Publisher : Unknown
Page : 140 pages
File Size : 51,5 Mb
Release : 1971
Category : Electronic
ISBN : 0387056742

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Global Differential Dynamics by O. Hájek Pdf

Author : O. Hajek,A. J. Lohwater,R. McCann
Publisher : Unknown
Page : 160 pages
File Size : 51,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662170280

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Global Differentiable Dynamics by O. Hajek,A. J. Lohwater,R. McCann Pdf

Author : O. Hajek,A. J. Lohwater,R. McCann
Publisher : Springer
Page : 153 pages
File Size : 46,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540369967

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Global Differentiable Dynamics by O. Hajek,A. J. Lohwater,R. McCann Pdf

Author : Zbigniew Nitecki
Publisher : Unknown
Page : 310 pages
File Size : 48,5 Mb
Release : 1971
Category : Science
ISBN : UOM:39015015609384

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Differentiable Dynamics by Zbigniew Nitecki Pdf

Author : David Ruelle
Publisher : Elsevier
Page : 196 pages
File Size : 46,8 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483272184

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Elements of Differentiable Dynamics and Bifurcation Theory by David Ruelle Pdf

Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.

Author : Lawrence Markus
Publisher : American Mathematical Soc.
Page : 86 pages
File Size : 42,7 Mb
Release : 1971
Category : Mathematics
ISBN : 0821888560

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Lectures in Differentiable Dynamics by Lawrence Markus Pdf

Offers an exposition of the central results of Differentiable Dynamics. This edition includes an Appendix reviewing the developments under five basic areas: nonlinear oscillations, diffeomorphisms and foliations, general theory; dissipative dynamics, general theory; conservative dynamics, and, chaos, catastrophe, and multi-valued trajectories.

Author : David N. Cheban
Publisher : World Scientific
Page : 524 pages
File Size : 40,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9789812560285

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Global Attractors of Non-autonomous Dissipative Dynamical Systems by David N. Cheban Pdf

- The book is intended to the experts in qualitative theory of differential equations, dynamical systems and their applications

Author : Z. Nitecki,C. Robinson
Publisher : Springer
Page : 508 pages
File Size : 52,6 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540383123

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Global Theory of Dynamical Systems by Z. Nitecki,C. Robinson Pdf

Author : Cheban David N
Publisher : World Scientific
Page : 616 pages
File Size : 40,8 Mb
Release : 2014-12-15
Category : Mathematics
ISBN : 9789814619844

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Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) by Cheban David N Pdf

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.

Author : Taeyoung Lee,Melvin Leok,N. Harris McClamroch
Publisher : Springer
Page : 539 pages
File Size : 41,8 Mb
Release : 2017-08-14
Category : Mathematics
ISBN : 9783319569536

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Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds by Taeyoung Lee,Melvin Leok,N. Harris McClamroch Pdf

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.

Author : D.Q. Mayne,R.W. Brockett
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401026758

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Geometric Methods in System Theory by D.Q. Mayne,R.W. Brockett Pdf

Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector space-linear theory often gives the wrong insight and thus should not be relied upon.

Author : Albert C. J. Luo
Publisher : World Scientific
Page : 461 pages
File Size : 46,9 Mb
Release : 2008
Category : Science
ISBN : 9789812771124

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Global Transversality, Resonance and Chaotic Dynamics by Albert C. J. Luo Pdf

This unique book presents a different point of view on the fundamental theory of global transversality, resonance and chaotic dynamics in n -dimensional nonlinear dynamic systems. The methodology and techniques presented in this book are applicable to nonlinear dynamical systems in general. This book provides useful tools for analytical and numerical predictions of chaos in nonlinear Hamiltonian and dissipative systems. All theoretical results are strictly proved. However, the ideas presented in this book are less formal and rigorous in an informal and lively manner. The author hopes the initial ideas may give some inspirations in the field of nonlinear dynamics. With physical concepts, the author also used the simple, mathematical language to write this book. Therefore, this book is very readable, which can be either a textbook for senior undergraduate and graduate students or a reference book for researches in nonlinear dynamics. Sample Chapter(s). Chapter 1: Introduction (1,196 KB). Contents: Differential Geometry of Flows; Global Transversality in Continuous Dynamical Systems; Chaotic Layer Dynamics; Two-Dimensional Stochastic Layers; Stochasticity in Resonant Separatrix Layers; Nonlinear Dynamics on an Equi-energy Surface; Stability and Grazing in Dissipative Systems; Global Dynamics in Two-Dimensional Dynamical Systems; Flow Switchability in Discontinuous Dynamical Systems. Readership: Mathematicians, physicists, researchers and engineers in mechanical engineering and electrical engineering as well as university professors and students.

Author : Yoshihide Kozai
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 49,5 Mb
Release : 1974-09-30
Category : Science
ISBN : 9027704589

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The Stability of Solar System and of Small Stellar Systems by Yoshihide Kozai Pdf

Proceedings of IAU Symposium No. 62 held in Warsaw, Poland, September 5-8, 1973

Author : K.D. Elworthy
Publisher : Routledge
Page : 984 pages
File Size : 49,8 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351455213

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Differential Equations by K.D. Elworthy Pdf

Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.

Author : J. de Vries
Publisher : Springer Science & Business Media
Page : 762 pages
File Size : 48,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401581714

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Elements of Topological Dynamics by J. de Vries Pdf

This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.