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

By: Contributor(s): Publication details: Waltham, MA : Academic Press, c2013.Edition: 3rd ed. / Morris W. Hirsch, Stephen Smale, Robert L. DevaneyDescription: xiv, 418 p. : ill. ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780123820105 :
  • 0123820103 :
Subject(s): LOC classification:
  • QA372 .H67 2013
Contents:
1. First-Order Equations 2. Planar Linear Systems 3. Phase Portraits 4. Classification of Planar Systems 5. Higher Dimension Linear Algebra 6. Higher Dimension 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. Homoclnic Phenomena 17. Existence and Uniqueness Revisited.

1. First-Order Equations 2. Planar Linear Systems 3. Phase Portraits 4. Classification of Planar Systems 5. Higher Dimension Linear Algebra 6. Higher Dimension 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. Homoclnic Phenomena 17. Existence and Uniqueness Revisited.

Includes bibliographical references and index.

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