Differential equations, dynamical systems, and linear algebra / Morris W. Hirsch and Stephen Smale.
Series Pure and applied mathematics (Academic Press): 60.Editor: New York : Academic Press, c1974Descripción: xi, 358 p. : il. ; 25 cmISBN: 0123495504Tema(s): Differential equations | Algebras, LinearOtra clasificación: 37-01 (34-01 34Cxx)1. First examples2. Newton's equation and Kepler's law3. Linear systems with constant coefficients and real eigenvalues4. Linear systems with constant coefficients and complex eigenvalues5. Linear systems and exponentials of operators6. Linear systems and canonical forms of operators7. Contractions and generic properties of operators8. Fundamental theory9. Stability of equilibria10. Differential equations for electrical circuits11. The Poincaré-Bendixson theorem12. Ecology13. Periodic attractors14. Classical mechanics15. Nonautonomous equations and differentiability of flows16. Perturbation theory and structural stability.
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Bibliografía: p. [341]-342.
1. First examples -- 2. Newton's equation and Kepler's law -- 3. Linear systems with constant coefficients and real eigenvalues -- 4. Linear systems with constant coefficients and complex eigenvalues -- 5. Linear systems and exponentials of operators -- 6. Linear systems and canonical forms of operators -- 7. Contractions and generic properties of operators -- 8. Fundamental theory -- 9. Stability of equilibria -- 10. Differential equations for electrical circuits -- 11. The Poincaré-Bendixson theorem -- 12. Ecology -- 13. Periodic attractors -- 14. Classical mechanics -- 15. Nonautonomous equations and differentiability of flows -- 16. Perturbation theory and structural stability.
MR, 58 #6484
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