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

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hirsch, Morris W., 1933-
Otros Autores: Smale, Stephen, 1930-, Devaney, Robert L., 1948-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier/Academic Press, ©2004.
Edición:2nd ed.
Colección:Pure and applied mathematics (Academic Press) ; 60.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.