Mathematics-Geometry and Topology

Geometric Dynamics: Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – Augu

US$5.00 US$27.00

Title (user) : Geometric Dynamics: Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – AuguTitle (google) : Geometric Dynamics...
Description

Title (user) : Geometric Dynamics: Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – Augu

Title (google) : Geometric Dynamics Proceedings of the International Symposium, Held at the Instituto de Matemática Pura E Aplicada, Rio de Janeiro, Brasil, July-August 1981

ISBN : 9780387123363,0387123369

DDC : 510 s,514/.74

LCC : QA3 .L28 no. 1007,QA614 .L28 no. 1007

DOI : 10.1007/BFb0061405

GoogleBook ID : 3E7vAAAAMAAJ

OpenLibrary ID : OL3172484M

Edition : 1

Series : Lecture Notes in Mathematics 1007

Authors (user) : Kathleen T. Alligood, John Mallet-Paret, James A. Yorke (auth.), J. Palis Jr. (eds.)

Authors (google) : Jacob Palis Júnior

Publisher : Springer-Verlag Berlin Heidelberg

Language : English-French

Publication Date : 1983

Scanned : yes (300 DPI)

File Format : djvu

Categories : Global analysis (Mathematics)


------------------------------------------

Description (google) :
This book is an in-depth and broad text on the subject of chaos in dynamical systems. It is intended to serve both as a graduate course text for science and engineering students, and as a reference and introduction to the subject for researchers. Within the past decade scientists, mathematicians and engineers have realized that a large variety of systems exhibit complicated evolution with time. This complicated behaviour, called chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the emerging science of chaotic dynamics. The author's style is pedagogic, and the book will be of value both as a graduate text and also as a reference work for researchers in science and engineering needing to understand this important new subject. Homework problems are also included throughout the book.


------------------------------------------

Table of contents :
An index for the global continuation of relatively isolated sets of periodic orbits....Pages 1-21
Unremovable closed orbits....Pages 22-29
On local entropy....Pages 30-38
Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of vector fields....Pages 39-59
An extension of Peixoto's structural stability theorem to open surfaces with finite genus....Pages 60-87
Some remarks about homoclinic points of second order differential equations....Pages 88-95
On the local classification of holomorphic vector fields....Pages 96-103
On surfaces of constant mean curvature in a three-dimensional space of constant curvature....Pages 104-108
A periodic orbit index which is a bifurcation invariant....Pages 109-131
An index theory for periodic solutions of a Hamiltonian system....Pages 132-145
Foliations that are not approximable by smoother ones....Pages 146-176
A proof of Pesin's stable manifold theorem....Pages 177-215
Proprietes de genericite des transformations canoniques....Pages 216-260
Periodic points and twisted coefficients....Pages 261-293
Statistical properties of foliations....Pages 294-299
Dehn surgery on Anosov flows....Pages 300-307
Smoothability of cherry flows on two-manifolds....Pages 308-331
An approximation theorem for immersions with stable configurations of lines of principal curvature....Pages 332-368
Currents on a circle invariant by a fuchsian group....Pages 369-378
Infinite dimensional dynamical systems....Pages 379-400
Flows on S 3 and R 3 without periodic orbits....Pages 401-407
Generalizations of some theorems of small divisors to non archimedean fields....Pages 408-447
The topology of linear ℂ m -flows on ℂ n ....Pages 448-462
Lyapunov functions and stability of geodesic flows....Pages 463-479
Finite determinacy of germs of integrable 1-forms in dimension 3 (a special case)....Pages 480-497
An example of polynomial interpolation of an hyperbolic attractor....Pages 498-511
Algebraic problems arising from Morse-Smale dynamical systems....Pages 512-521
Lyapounov exponents and stable manifolds for compact transformations....Pages 522-577
Hyperbolic dynamical systems with isolated points....Pages 578-583
On moduli of stability of vector fields on open manifolds....Pages 584-610
Dynamics of certain skew products....Pages 611-629
A note on the inclination Lemma (λ-Lemma) and Feigenbaum's rate of approach....Pages 630-635
A special C r Closing Lemma....Pages 636-650
Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients....Pages 651-662
Small random perturbations and the definition of attractors....Pages 663-676
On the existence of invariant curves of twist mappings of an annulus....Pages 677-718
On the average cost of solving polynomial equations....Pages 719-724
Conformal dynamical systems....Pages 725-752
Quadratic vector fields with finitely many periodic orbits....Pages 753-766
Absolutely continuous invariant measures for rational mappings of the sphere S 2 ....Pages 767-783
The role of qualitative dynamics in applied sciences....Pages 784-788
Rate of approach to minima and sinks the C 2 Axiom a no cycle case....Pages 789-813
C 1 -conjugaison des difféomorphismes du cercle....Pages 814-827

Additional Information
0 Reviews for Geometric Dynamics: Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – Augu

Add a review

Your Rating

87584

Character Limit 400

-80%
On Thom spectra, orientability, and cobordism

On Thom spectra, orientability, and cobordism

US$5.00 US$25.00
-92%
Fourier analysis in convex geometry

Fourier analysis in convex geometry

US$5.00 US$64.00
-74%
Введение в дифференциальную геометрию

Введение в дифференциальную геометрию

US$5.00 US$19.00
-83%
Nilpotence and Periodicity in Stable Homotopy Theory.

Nilpotence and Periodicity in Stable Homotopy Theory.

US$5.00 US$29.00
-86%
Categorical Methods in Computer Science With Aspects from Topology

Categorical Methods in Computer Science With Aspects from Topology

US$5.00 US$36.00
-81%
Метод геометрического погружения в теории упругости

Метод геометрического погружения в теории упругости

US$5.00 US$26.00
-86%
Topology: Point-Set and Geometric (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

Topology: Point-Set and Geometric (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

US$5.00 US$36.00
-84%
Monoidal Topology: A Categorical Approach to Order, Metric, and Topology

Monoidal Topology: A Categorical Approach to Order, Metric, and Topology

US$5.00 US$31.00