Chiellini Hamiltonian Liénard differential systems

View/ Open
Issue date
2019Suggested citation
Giné, Jaume;
Llibre, Jaume;
Valls, Claudia;
.
(2019)
.
Chiellini Hamiltonian Liénard differential systems.
Electronic Journal of Differential Equations, 2019, vol. 2019, núm. 71, p. 1–8..
http://hdl.handle.net/10459.1/68403.
Metadata
Show full item recordAbstract
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.
Is part of
Electronic Journal of Differential Equations, 2019, vol. 2019, núm. 71, p. 1–8.European research projects
Collections
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as cc-by (c) Texas State University, 2019
Related items
Showing items related by title, author, creator and subject.
-
Centers for the Kukles homogeneous systems with even degree
Giné, Jaume; Llibre, Jaume; Valls, Claudia (Shanghai Normal University & Wilmington Scientific Publisher, 2017)For the polynomial differential system x˙=−y, y˙=x+Qn(x,y), where Qn(x,y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true that the previous system for n≥2 has a ... -
Center problem in the center manifold for quadratic differential systems in R^3
Giné, Jaume; Valls, Claudia (Elsevier, 2016)Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain ... -
Centers for the Kukles homogeneous systems with odd degree
Giné, Jaume; Llibre, Jaume; Valls, Claudia (London Mathematical Society, 2015)For the polynomial differential system x˙ = −y, y˙ = x+Qn(x; y), where Qn(x; y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true that the previous system for ...