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Title:
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Chiellini Hamiltonian Liénard differential systems
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Author:
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Giné, Jaume; Llibre, Jaume; Valls, Claudia
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Notes:
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We characterize the centers of the Chiellini Hamiltonian Li´enard
second-order differential equations x
0 = y, y
0 = −f(x)y − g(x) where g(x) =
f(x)(k − α(1 + α)
R
f(x)dx) with α, k ∈ R. Moreover we study the phase
portraits in the Poincar´e disk of these systems when f(x) is linear.
J. Giné was partially supported by a MINECO/FEDER grant number MTM2017-84383-P and an AGAUR (Generalitat de Catalunya) grant number 2017SGR 1276. J. LLibre was partially supported by a FEDER-MINECO grant number MTM2016-77278-P, and an AGAUR grant number 2017SGR-1617. C. Valls was partially supported by FCT/Portugal through UID/MAT/04459/2013. |
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Subject(s):
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-Liénard system
-Center-focus problem
-First integrals |
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Rights:
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cc-by (c) Texas State University, 2019
http://creativecommons.org/licenses/by/4.0/
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Document type:
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Article
Article - Published version |
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Published by:
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Texas State University
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