TY - BOOK AU - Hirsch,Morris W. AU - Smale,Stephen AU - Devaney,Robert L. TI - Differential equations, dynamical systems, and an introduction to chaos SN - 9780123820105 : AV - QA372 .H67 2013 PY - 2013/// CY - Waltham, MA PB - Academic Press KW - Differential equations KW - Algebras, Linear KW - Chaotic behavior in systems N1 - Includes bibliographical references and index; 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. ER -