By Topic

Normal forms near critical points for differential equations and maps

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
M. Ashkenazi ; Dept. of Math., Michigan State Univ., East Lansing, MI, USA ; S. -N. Chow

The normal-form theory is a technique of transforming an original vector field to a simpler form by an appropriate change of coordinates, so that the essential features of the flow become more evident. A basic theory of normal forms, based on the classical idea of Poincare and Birkhoff, is presented. Normal forms for vector fields and diffeomorphisms are discussed, and their relationship is considered. The technique described is based on defining a certain linear operator and an inner product on the space of homogeneous polynomials on C n

Published in:

IEEE Transactions on Circuits and Systems  (Volume:35 ,  Issue: 7 )