Dynamics and bifurcations /

In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Eq...

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Detalles Bibliográficos
Clasificación:QA372 H3.49
Autor principal: Hale, Jack K., 1928-
Otros Autores: Koçak, Hüseyin (coaut)
Formato: Libro
Idioma:Inglés
Publicado: New York : Springer-Verlag, 1991.
Colección:Texts in applied mathematics ; 3
Temas:
Differential equations
Differentiable dynamical systems
Bifurcation theory
Ecuaciones diferenciales
Sistemas dinámicos diferenciales
Bifurcación, Teoría de la
Tabla de Contenidos:
  • Part I: Dimension One
  • Chapter 1. Scalar Autonomous Equations
  • Chapter 2. Elementary Bifurcations
  • Chapter 3. Scalar Maps
  • Part II: Dimension One and One Half
  • Chapter 4. Scalar Nonautonomous Equations
  • Chapter 5. Bifurcation of Periodic Equations
  • Chapter 6. On Tori and Circles
  • Part III: Dimension Two
  • Chapter 7. Planar Autonomous Systems
  • Chapter 8. Linear Systems
  • Chapter 9. Near Equilibria
  • Chapter 10. In the Presence of a Zero Eigenvalue
  • Chapter 11. In the Presence of Purely Imaginary Eigenvalues
  • Chapter 12. Periodic Orbits
  • Chapter 13. All Planar Things Considered
  • Chapter 14. Conservative and Gradient Systems
  • Chapter 15. Planar Maps
  • Part IV: Higher Dimensions
  • Chapter 16. Dimension Two and One Half
  • Chapter 17. Dimension Three
  • Chapter 18: Dimension Four.

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