An efficient method to reconstruct invariant manifolds of saddle points

Elisa Francomano, Marta Paliaga, Frank M. Hilker, Ezio Venturino

Risultato della ricerca: Articlepeer review

20 Citazioni (Scopus)

Abstract

In vector field analysis, saddle points have two different types of invariant manifolds, namely stable ones and unstable ones. The invariant manifolds represent separatrices that partition the domain of trajectories into invariant regions of different dynamics. In this work, we analyze the basins of attraction of two different stable nodes by reconstructing the separatrices of a saddle point. To this purpose we present a computational algorithm that detects the points lying on the manifold, considering the plane generated by the two stable eigenvectors of the saddle point. Finally we reconstruct the surface by using the moving least-squares approximant method.
Lingua originaleEnglish
pagine (da-a)25-30
Numero di pagine6
RivistaDolomites Research Notes on Approximation
Volume10
Stato di pubblicazionePublished - 2017

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)
  • Applied Mathematics

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