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Invariant Manifolds in Discrete and Continuous Dynamical Systems

Publisher: 
European Mathematical Society
Number of Pages: 
216
Price: 
78.00
ISBN: 
9783037191248
Date Received: 
Thursday, September 5, 2013
Reviewable: 
No
Include In BLL Rating: 
No
Kaspar Nipp and Daniel Stoffer
Series: 
EMS Tracts in Mathematics 21
Publication Date: 
2013
Format: 
Hardcover
Category: 
Monograph

Discrete Dynamical Systems--Maps

  • Existence
  • Perturbation and approximation
  • Smoothness
  • Foliation
  • Smoothness of the foliation with respect to the base point

Continuous Dynamical Systems--ODEs

  • A general result for the time-T map
  • Invariant manifold results

Applications

  • Fixed points and equilibria
  • The one-step method associated to a linear multistep method
  • Invariant manifolds for singularly perturbed ODEs
  • Runge-Kutta methods applied to singularly perturbed ODEs
  • Invariant curves of perturbed harmonic oscillators
  • Blow-up in singular perturbations
  • Application of Runge-Kutta methods to differential-algebraic equations
  • Appendices
  • Bibliography
  • Index
Publish Book: 
Modify Date: 
Thursday, September 5, 2013

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