Publication Cover
Applicable Analysis
An International Journal
Volume 54, 1994 - Issue 1-2
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Original Articles

A numerical method to calculate center manifolds of ode's

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Pages 1-15 | Received 03 May 1993, Published online: 02 May 2007

  • Beyn , W. –J. and Lorenz , J. 1987 . Center manifolds of dynamical systems under discretization . Numer. Funct. Anal. and Optimiz , 9 : 381 – 414 .
  • Carr , J. 1981 . Applications of Center Manifold Theory , Berlin : Springer–Verlag .
  • Guckenheimer , J. and Holmes , P. 1983 . Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , Berlin : Springer–Verlag .
  • Ma , F. 1988 . Euler difference scheme for ordinary differential equations and center manifold . Journal of Northeastern Mathematics , 4 : 149 – 161 .
  • Ma F. Küpper T. Numerical calculation of invariant manifolds for maps. to appear in Journal of Numerical Linear Algebra with Applications
  • Marsden , J. E. and McCracken , M. 1976 . The Hopf Bifurcation and Its Applications , New York : Springer–Verlag .
  • Rand , R. H. and Armbruster , D. 1987 . Perturbation Method, Bifurcation Theory, and Computer Algebra , New York : Springer–Verlag .

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