Differential Equations, Dynamical Systems, and an Introduction to Chaos /

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"Hirsch, Devaney, and Smale's classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical system...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hirsch, Morris W., 1933- (Autor), Smale, Stephen, 1930- (Autor), Devaney, Robert L., 1948- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford, UK ; Waltham, MA, USA : Academic Press, [2013]
Edición:Third edition.
Temas:
Differential equations.
Algebras, Linear.
Chaotic behavior in systems.
�Equations diff�erentielles.
Alg�ebre lin�eaire.
Chaos.
Algebras, Linear
Differential equations
Chaotic behavior in systems
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. First-Order Equations
  • 2. Planar Linear Systems
  • 3. Phase Portraits for Planar Systems
  • 4. Classification of Planar Systems
  • 5. Higher-Dimensional Linear Algebra
  • 6. Higher-Dimensional Linear Systems
  • 7. Nonlinear Systems
  • 8. Equilibria in Nonlinear Systems
  • 9. Global Nonlinear Techniques
  • 10. Closed Orbits and Limit Sets
  • 11. Applications in Biology,
  • 12. Applications in Circuit Theory
  • 13. Applications in Mechanics
  • 14. The Lorenz System
  • 15. Discrete Dynamical Systems
  • 16. Homoclinic Phenomena
  • 17. Existence and Uniqueness Revisited.

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