Cubic polynomial differential systems - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

Cerca col·leccions:

Ordena'ls per:	Mostrar els resultats:	Format de visualizació:

Resultats globals: 5 registres trobats en 0.02 segons.
Articles, 5 registres trobats

Articles	5 registres trobats

36 p, 651.2 KB

On the singularities of the planar cubic polynomial differential systems and the Euler Jacobi formula / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
Using the Euler-Jacobi formula we obtain an algebraic relation between the singular points of a polynomial vector field and their topological indices. Using this formula we obtain the configuration of the singular points together with their topological indices for the planar cubic polynomial differential systems when these systems have nine finite singular points.
2020 - DOI (Digital Object Identifier)

10.1007/s12346-020-00435-9
Qualitative theory of dynamical systems, Vol. 19, Issue 3 (December 2020) , art. 96

Registre complet -

8 p, 295.0 KB

4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory / Feddaoui, Amina (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.
2020 - DOI (Digital Object Identifier)

10.1504/IJDSDE.2020.109106
International Journal of Dynamical Systems and Differential Equations, Vol. 10, Issue 4 (2020) , p. 321-328

Registre complet -

30 p, 951.8 KB

On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Xiao, Dongmei (Shanghai Jiao Tong University. School of Mathematical Sciences (China))
We study the kind of centers that Hamiltonian Kolmogorov cubic polynomial differential systems can exhibit. Moreover, we analyze the possible configurations of these centers with respect to the invariant coordinate axes, and obtain that the real algebraic curve xy(a+bx+cy+dx2+exy+fy2)=h has at most four families of level ovals in R2 for all real parameters a,b,c,d,e,f and h.
2020 - DOI (Digital Object Identifier)

10.2140/pjm.2020.306.611
Pacific Journal of Mathematics, Vol. 306, Issue 2 (2020) , p. 611-644

Registre complet -

14 p, 336.3 KB

On the centers of cubic polynomial differential systems with four invariant straight lines / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Assume that a cubic polynomial differential system in the plane has four invariant straight lines in generic position, i. e. they are not parallel and no more than two straight lines intersect in a point. [...]
2020 - DOI (Digital Object Identifier)

10.12775/TMNA.2020.004
Topological Methods in Nonlinear Analysis, Vol. 55, Issue 2 (June 2020) , p. 387-402

Registre complet -

8 p, 690.4 KB

N-dimensional zero-hopf bifurcation of polynomial differential systems via averaging theory of second order / Kassa, Sara (University of Annaba. Department of Mathematics (Algeria)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))
Using the averaging theory of second order, we study the limit cycles which bifurcate from a zero-Hopf equilibrium point of polynomial vector fields with cubic nonlinearities in ℝn. We prove that there are at least 3n-2 limit cycles bifurcating from such zero-Hopf equilibrium points. [...]
2020 - DOI (Digital Object Identifier)

10.1007/s10883-020-09501-6
Journal of Dynamical and Control Systems, vol. 27 (June 2020) p. 283-291

Registre complet -

Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.