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

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This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the b...

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Detalles Bibliográficos
Clasificación:QA372 J6.72 2007
Autor principal: Jordan, D. W., (Dominic William) (autor)
Otros Autores: Smith, Peter, 1935- (autor)
Formato: Libro
Idioma:Inglés
Publicado: Oxford [England] : New York : Oxford University Press, [2007].
Edición:Fourth edition.
Temas:
Differential equations, Nonlinear
Ecuaciones diferenciales no lineales
Nonlinear theories
Teorías no lineales
Tabla de Contenidos:
  • 1. Second-order differential equations in the phase plane.
  • 2. Plane autonomous systems and linearization.
  • 3. Geometrical aspects of plane autonomous systems.
  • 4. Periodic solutions, averaging methods.
  • 5. Perturbation methods.
  • 6. Singular perturbation methods.
  • 7. Forced oscillations : harmonic and subharmonic response, stability, and entrainment.
  • 8. Stability.
  • 9. Stability by solution perturbation : Mathieu's equation.
  • 10. Liapunov methods for determining stability of the zero solution.
  • 11. Existence of periodic solutions.
  • 12. Bifurcations and manifolds.
  • 13. Poincaré sequences, homoclinic bifurcation, and chaos.

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