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Conditions for the existence of a center for the Kukles homogeneous systems

✍ Scribed by J. Giné

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
731 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this work, we study necessary and sufficient conditions for the existence of centers in two families of linear centers with homogeneous quartic and quintic nonlinearities. Systems of this class are called Kukles homogeneous systems. Systems of this type were studied, for the first time. by Kukles, who studied a linear center with cubic nonhomogeneous nonlinearities.

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