Ordinary Differential Equations: Basics and Beyond

This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Schaeffer, David G. (Autor), Cain, John W. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Texts in Applied Mathematics, 65
Temas:
Differential equations.
Mathematical physics.
Dynamical systems.
Differential Equations.
Theoretical, Mathematical and Computational Physics.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Linear Systems with Constant Coefficients
  • Nonlinear Systems: Local Theory
  • Nonlinear Systems: Global Theory
  • Nondimensionalization and Scaling
  • Trajectories Near Equilibria
  • Oscillations in ODEs
  • Bifurcation from Equilibria
  • Examples of Global Bifurcation
  • Epilogue
  • Appendices.

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