Ordinary Differential Equations and Mechanical Systems

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomia...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Awrejcewicz, Jan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Differential equations.
Mechanics.
Mathematical models.
Dynamical systems.
Differential Equations.
Classical Mechanics.
Mathematical Modeling and Industrial Mathematics.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. Introduction
  • 2. First order ODEs
  • 3. Second order ODEs
  • 4. Linear ODEs
  • 5. Higher-order ODEs polynomial form
  • 6. Systems
  • 7. Theory and criteria of similarity
  • 8. Model and modeling
  • 9. Phase plane and phase space
  • 10. Stability
  • 11. Modeling via perturbation methods
  • 12. Continualization and discretization
  • 13. Bifurcations
  • 14. Optimization of systems
  • 15. Chaos and synchronization.

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