Bifurcation of Limit Cycles and Center in 3D Cubic Systems with Z3-Equivariant Symmetry

Autor: Ting Huang, Jieping Gu, Yuting Ouyang, Wentao Huang

Publikováno v: Mathematics, Vol 11, Iss 11, p 2563 (2023)

This paper focuses on investigating the bifurcation of limit cycles and centers within a specific class of three-dimensional cubic systems possessing Z3-equivariant symmetry. By calculating the singular point values of the systems, we obtain a necess

Externí odkaz: https://doaj.org/article/627802e8e7bc4d108462aa2caf9fa5c2

Quadratic double centers and their perturbations

Autor: Jean-Pierre Françoise, Peixing Yang

Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2021, 271, pp.563-593. ⟨10.1016/j.jde.2020.08.035⟩

This article begins with a full description of the quadratic planar vector fields which display two centers. We follow the method proposed by Chengzhi Li and provide more detailed analysis of the different types of double centers using the classifica

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a520183f7257920b663bc4c56e4d2323
https://doi.org/10.1016/j.jde.2020.08.035

Seeking Darboux polynomials

Autor: Antoni Ferragut, Armengol Gasull

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Repositori Universitat Jaume I
Universitat Jaume I
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

We introduce several techniques which allow to simplify the expression of the cofactor of Darboux polynomials of polynomial differential systems in Rn. We apply these techniques to some well-known systems when n=2,3,4. We also propose a general metho

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2391050f50ba3db35037340519be39ad
http://hdl.handle.net/2072/408865

Integrability in nonlinear biomathematical models

Autor: Claudia Valls, Jaume Llibre

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ffc41f12106ee79575f50286e846c3d
http://hdl.handle.net/2072/410592

Darboux integrability and Algebraic limit cycles for a class of polynomial differential Systems

Autor: JinLong Cao, Xiang Zhang, Jaume Llibre

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

This paper deals with the existence of Darboux first integrals for the planar polynomial differential systems $$\mathop x\limits^. $$ = λ x−y +P n+1(x, y)+xF 2n (x, y), $$\mathop y\limits^. $$ = x+λ y +Q n+1(x, y)+yF 2n (x, y), where P i (x, y),

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df42101aafa2a0681259aa3527218571
http://hdl.handle.net/2072/410674