Lectures In Differentiable Dynamics

Author : Lawrence Markus
Publisher : American Mathematical Soc.
Page : 86 pages
File Size : 50,6 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 : Lawrence Markus
Publisher : Unknown
Page : 77 pages
File Size : 44,8 Mb
Release : 1971
Category : Differentiable dynamical systems
ISBN : 1470423634

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Lectures in Differentiable Dynamics by Lawrence Markus Pdf

Author : O. Hajek,A. J. Lohwater,R. McCann
Publisher : Springer
Page : 153 pages
File Size : 50,7 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 : Kotik K Lee
Publisher : World Scientific
Page : 479 pages
File Size : 52,7 Mb
Release : 1992-05-14
Category : Mathematics
ISBN : 9789814507271

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Lectures On Dynamical Systems, Structural Stability And Their Applications by Kotik K Lee Pdf

The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.

Author : Valentin Senderovich Afraĭmovich,Sze-Bi Hsu
Publisher : American Mathematical Soc.
Page : 367 pages
File Size : 51,7 Mb
Release : 2003
Category : Chaotic behavior in systems
ISBN : 9780821831687

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Lectures on Chaotic Dynamical Systems by Valentin Senderovich Afraĭmovich,Sze-Bi Hsu Pdf

Basic concepts Zero-dimensional dynamics One-dimensional dynamics Two-dimensional dynamics Systems with 1.5 degrees of freedom Systems generated by three-dimensional vector fields Lyapunov exponents Appendix Bibliography Index.

Author : L. Nirenberg
Publisher : American Mathematical Soc.
Page : 70 pages
File Size : 48,9 Mb
Release : 1973
Category : Mathematics
ISBN : 0821888668

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Lectures on Linear Partial Differential Equations by L. Nirenberg Pdf

Author : K.D. Elworthy
Publisher : Routledge
Page : 984 pages
File Size : 50,8 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. Jr. Palis,W. de Melo
Publisher : Springer Science & Business Media
Page : 208 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461257035

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Geometric Theory of Dynamical Systems by J. Jr. Palis,W. de Melo Pdf

... cette etude qualitative (des equations difj'erentielles) aura par elle-m me un inter t du premier ordre ... HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.

Author : Michael J. Field
Publisher : CRC Press
Page : 168 pages
File Size : 47,5 Mb
Release : 2020-02-17
Category : Mathematics
ISBN : 9781000657753

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Lectures on Bifurcations, Dynamics and Symmetry by Michael J. Field Pdf

This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.

Author : Zbigniew Nitecki
Publisher : Unknown
Page : 310 pages
File Size : 47,7 Mb
Release : 1971
Category : Science
ISBN : UOM:39015015609384

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Differentiable Dynamics by Zbigniew Nitecki Pdf

Author : George R. Sell
Publisher : Unknown
Page : 270 pages
File Size : 51,6 Mb
Release : 1967
Category : Topological dynamics
ISBN : OCLC:48145851

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Topological Dynamics and Ordinary Differential Equations by George R. Sell Pdf

Author : Lan Wen
Publisher : American Mathematical Soc.
Page : 192 pages
File Size : 42,7 Mb
Release : 2016-07-20
Category : Differential equations
ISBN : 9781470427993

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Differentiable Dynamical Systems by Lan Wen Pdf

This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale. While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study. Selected solutions are available electronically for instructors only. Please send email to [email protected] for more information.

Author : Eduard Zehnder
Publisher : European Mathematical Society
Page : 372 pages
File Size : 41,6 Mb
Release : 2010
Category : Dynamics
ISBN : 3037190817

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Lectures on Dynamical Systems by Eduard Zehnder Pdf

This book originated from an introductory lecture course on dynamical systems given by the author for advanced students in mathematics and physics at ETH Zurich. The first part centers around unstable and chaotic phenomena caused by the occurrence of homoclinic points. The existence of homoclinic points complicates the orbit structure considerably and gives rise to invariant hyperbolic sets nearby. The orbit structure in such sets is analyzed by means of the shadowing lemma, whose proof is based on the contraction principle. This lemma is also used to prove S. Smale's theorem about the embedding of Bernoulli systems near homoclinic orbits. The chaotic behavior is illustrated in the simple mechanical model of a periodically perturbed mathematical pendulum. The second part of the book is devoted to Hamiltonian systems. The Hamiltonian formalism is developed in the elegant language of the exterior calculus. The theorem of V. Arnold and R. Jost shows that the solutions of Hamiltonian systems which possess sufficiently many integrals of motion can be written down explicitly and for all times. The existence proofs of global periodic orbits of Hamiltonian systems on symplectic manifolds are based on a variational principle for the old action functional of classical mechanics. The necessary tools from variational calculus are developed. There is an intimate relation between the periodic orbits of Hamiltonian systems and a class of symplectic invariants called symplectic capacities. From these symplectic invariants one derives surprising symplectic rigidity phenomena. This allows a first glimpse of the fast developing new field of symplectic topology.

Author : Mary Ellen Rudin
Publisher : American Mathematical Soc.
Page : 82 pages
File Size : 54,9 Mb
Release : 1975-12-31
Category : Mathematics
ISBN : 9780821816738

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Lectures on Set Theoretic Topology by Mary Ellen Rudin Pdf

This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained--this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.

Author : Onorato Timothy O'Meara
Publisher : American Mathematical Soc.
Page : 102 pages
File Size : 51,7 Mb
Release : 1974
Category : Mathematics
ISBN : 0821888692

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Lectures on Linear Groups by Onorato Timothy O'Meara Pdf