Nonlinear ordinary differential equations : an introduction for scientists and engineers /

Detalles Bibliográficos
Autor principal: Jordan, D. W. (Dominic William)
Otros Autores: Smith, Peter, 1935-
Formato: Libro
Lenguaje:English
Publicado: Oxford [England] : New York : Oxford University Press, 2007.
Edición:Fourth edition.
Materias:
Ecuaciones diferenciales no lineales.
Acceso en línea:Tabla de contenido
Tabla de contenido
Inhaltsverzeichnis
Tabla de Contenidos:
  • Second-order differential equations in the phase plane
  • Plane autonomous systems and linearization
  • Geometrical aspects of plane autonomous systems
  • Periodic solutions, averaging methods
  • Perturbation methods
  • Singular perturbation methods
  • Forced oscillations : harmonic and subharmonic response, stability, and entrainment
  • Stability
  • Stability by solution perturbation : Mathieu's equation
  • Liapunov methods for determining stability of the zero solution
  • The existence of periodic solutions
  • Bifurcations and manifolds
  • Poincaré sequences, homoclinic bifurcation, and chaos.

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