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Darboux invariants for planar polynomial differential systems having an invariant conic

✍ Scribed by Llibre, Jaume; Messias, Marcelo; Reinol, Alisson C.


Book ID
121586294
Publisher
Springer
Year
2013
Tongue
English
Weight
245 KB
Volume
65
Category
Article
ISSN
0044-2275

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For a class of higher dimensional autonomous systems that have an invariant affine manifold, conditions are derived to preclude the existence of periodic solutions on the invariant manifold. It is established that these conditions are robust under certain types of local perturbations of the vector f