Differential equations, dynamical systems, and linear algebra /

Guardado en:
Autor Principal: Hirsch, Morris W., 1933-
Otros Autores: Smale, Stephen, 1930-
Formato: Libro
Idioma:English
Publicado: New York : Academic Press, c1974.
Series:Pure and applied mathematics (Academic Press) ; 60.
Materias:
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Tabla de Contenidos:
  • 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.