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Three-Dimensional Flows

  • Vítor Araújo
  • Maria José Pacifico
Book

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Vítor Araújo, Maria José Pacifico
    Pages 1-4
  3. Vítor Araújo, Maria José Pacifico
    Pages 5-54
  4. Vítor Araújo, Maria José Pacifico
    Pages 55-97
  5. Vítor Araújo, Maria José Pacifico
    Pages 99-121
  6. Vítor Araújo, Maria José Pacifico
    Pages 123-161
  7. Vítor Araújo, Maria José Pacifico
    Pages 163-202
  8. Vítor Araújo, Maria José Pacifico
    Pages 203-248
  9. Vítor Araújo, Maria José Pacifico
    Pages 249-268
  10. Vítor Araújo, Mário Bessa, Maria José Pacifico
    Pages 269-308
  11. Vítor Araújo, Maria José Pacifico
    Pages 309-323
  12. Back Matter
    Pages 325-358

About this book

Introduction

In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits.

The book aims to provide a global perspective of this theory and make it easier for the reader to digest the growing literature on this subject. This is not the first book on the subject of dynamical systems, but there are distinct aspects which together make this book unique.

Firstly, this book treats mostly continuous time dynamical systems, instead of its discrete counterpart, exhaustively treated in some other texts. Secondly, this book treats all the subjects from a mathematical perspective with proofs of most of the results included. Thirdly, this book is meant to be an advanced graduate textbook and not just a reference book or monograph on the subject. This aspect is reflected in the way the cover material is presented, with careful and complete proofs, and precise references to topics in the book.

Keywords

Lyapunov stability partial hyperbolicity robust transitivity singular-attractors singular-hyperbolicity

Authors and affiliations

  • Vítor Araújo
    • 1
  • Maria José Pacifico
    • 2
  1. 1.Rio de Janeiro (UFRJ), Inst. MatematicaUniversidade Federal doRio de JaneiroBrazil
  2. 2.Instituto de Matemática, Depto. Métodos MatemáticosUniversidade Federal do Rio de JaneiroRio de JaneiroBrazil

Bibliographic information

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