The study of non-linear dynamical systems nowadays is an intricate mixture of analysis, geometry, algebra and measure theory and this book takes all aspects into account.Presenting the contents of its authors' graduate courses in non-linear dynamical systems, this volume aims at researchers who wish to be acquainted with the more theoretical and fundamental subjects in non-linear dynamics and is designed to link the popular literature with research papers and monographs.All of the subjects covered in this book are extensively dealt with and presented in a pedagogic form. These include the presentation of an environment for the route to chaos by quasi-periodicity (which is related to the Landau-Lifschitz and Ruelle-Takens scenario's concerning the onset of turbulence); the theories of 1-dimensional dynamics, singularities in planar vector fields, and quasi-periodicity in dissipative systems.

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Yes, you can access Structures in Dynamics by H.W. Broer,F. Dumortier,S.J. van Strien,F. Takens in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Physics. We have over one million books available in our catalogue for you to explore.

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Index

Front Cover
Structures in Dynamics: Finite Dimensional Deterministic Studies
Copyright Page
Table of Contents
Preface
Chapter 1. Introduction to dynamical systems
Chapter 2. Genericity and structural stability
Chapter 3. Bifurcations
Chapter 4. A family of quasi-periodic attractors
Chapter 5. Chaos
Chapter 6. Interval maps
Chapter 7. Local study of planar vector fields: singularities and their unfoldings
Chapter 8. The thermodynamic formalism
Chapter 9. Conservative dynamical systems
Subject index

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