Differential equations, dynamical systems, and an introduction to chaos /

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Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Hirsch, Morris W., 1933-
Other Authors: Smale, Stephen, 1930-, Devaney, Robert L., 1948-
Format: Electronic eBook
Language:Inglés
Published: Amsterdam ; Boston : Elsevier/Academic Press, ©2004.
Edition:2nd ed.
Series:Pure and applied mathematics (Academic Press) ; 60.
Subjects:
Differential equations.
Algebras, Linear.
Chaotic behavior in systems.
Équations différentielles.
Algèbre linéaire.
Chaos.
MATHEMATICS > Differential Equations > General.
Algebras, Linear
Chaotic behavior in systems
Differential equations
Differentiaalvergelijkingen.
Dynamische systemen.
Sistemas dinâmicos.
Equações diferenciais ordinárias (textos avançados)
Análise matemática.
Online Access:Texto completo
Table of Contents:
  • First Order Equations
  • Planar Linear Systems
  • Phase Portraits
  • Classification of Planar Systems
  • Higher Dimensional Linear Algebra
  • Higher Dimensional Linear Systems
  • Fundamental Theory
  • Equilibria in Nonlinear Systems
  • Nonlinear Techniques
  • Closed Orbits and Limit Sets
  • Applications in Biology
  • Applications in Circuit Theory
  • . Applications in Mechanics
  • The Lorenz System
  • Applications in Other Fields
  • Homoclinic Phenomana
  • Discrete Dynamical Systems
  • Higher Dimensional Discrete Systems.

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