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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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Bibliographic Details
Main Authors: Hirsch, Morris W., 1933- (Author), Smale, Stephen, 1930- (Author), Devaney, Robert L., 1948- (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Oxford, UK ; Waltham, MA, USA : Academic Press, [2013]
Edition:Third edition.
Subjects:
Differential equations.
Algebras, Linear.
Chaotic behavior in systems.
Équations différentielles.
Algèbre linéaire.
Chaos.
Algebras, Linear
Differential equations
Chaotic behavior in systems
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.