Differential equations, dynamical systems, and an introduction to chaos /
Hirsch, Morris W. 1933-
Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney - Third edition - xiv, 418 pages : illustrations ; 24 cm.
Includes index
Includes bibliographical references (p. 411-413) and index.
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
"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 systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study.
9780123820105 (hardback)
2012002951
Differential equations
Algebras, Linear
Chaotic behavior in systems
QA372 / .H67 2013
515.35
Differential equations, dynamical systems, and an introduction to chaos / Morris W. Hirsch, Stephen Smale, Robert L. Devaney - Third edition - xiv, 418 pages : illustrations ; 24 cm.
Includes index
Includes bibliographical references (p. 411-413) and index.
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
"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 systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study.
9780123820105 (hardback)
2012002951
Differential equations
Algebras, Linear
Chaotic behavior in systems
QA372 / .H67 2013
515.35