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Symmetry in Planar Dynamical Systems

✍ Scribed by N.G Lloyd; J.M Pearson

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
226 KB
Volume
33
Category
Article
ISSN
0747-7171

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✦ Synopsis

In the study of dynamical systems the conditions for a critical point to be a centre are often sought. The sufficiency of such conditions is probed using various techniques; here we exploit the possible symmetry of a given system. We describe an application of GrΓΆbner bases in the search for a bilinear transformation of the system to one which is symmetric in a line.

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