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The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials

✍ Scribed by Jaume Giné

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
170 KB
Volume
22
Category
Article
ISSN
1439-7617

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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