A first course in discrete dynamical systems /

Guardado en:
Autor Principal: Holmgren, Richard A.
Formato: Libro
Idioma:English
Publicado: New York : Springer-Verlag, c1994.
Series:Universitext
Materias:
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Tabla de Contenidos:
  • 1. Introduction
  • 2. A quick look at functions
  • 3. The topology of the real numbers
  • 4. Periodic points and stable sets
  • 5. Sarkovskii's theorem
  • 6. Differentiability and its implications
  • 7. Parametrized families of functions and bifurcations
  • 8. The logistic function, part I
  • 9. Symbolic dynamics and chaos
  • 10. The logistic function, part II: Topological conjugacy
  • 11. The logistic function, part III
  • 12. Newton's method
  • 13. Numerical solutions of differential equations
  • 14. The dynamics of complex functions
  • 15. The quadratic family and the Mandelbrot set.