Pàgina inicial > Resultats de la cerca: Poincar\'e compactification
  Consells de cerca
Cerca avançada
Cerca col·leccions:
Ordena'ls per: Mostrar els resultats: Format de visualizació:
Resultats globals: 46 registres trobats en 0.03 segons.
Articles, 46 registres trobats
Articles 46 registres trobats  1 - 10següentfinal  anar al registre:
1.
On the "traveling pulses" of the limit of the FitzHugh-Nagumo equation when ɛ→0 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
A solution (u(s), v(s)) of the differential system u = v, v = −cv−u(u−a)(1−u) + w, w = −(ɛ/c)(u−γw) with a, c, ɛ ∈ R such that (u(s), v(s)) → (0,0) when s → ± ∞ is a traveling pulse of the FitzHugh-Nagumo equation. [...]
2023 - 10.1016/j.nonrwa.2023.103891
Nonlinear Analysis: Real World Applications, Vol. 73 (October 2023) , art. 103891  
Registre complet - Creative Commons
2.
Global phase portraits of the generalized van der Pol systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We consider the generalized van der Pol systems x˙ = y, y˙ = −x + (1−x) f(y), where f ∈ R[y]. The classical van der Pol systems have f(y) = y. We first characterize when the origin of the generalized van der Pol systems is a center, and second we provide the global phase portraits in the Poincaré disc of the generalized van der Pol when f(y) = ay + ay for all a,a ∈ R.
2023 - 10.1016/j.bulsci.2022.103213
Bulletin des Sciences Mathematiques, Vol. 182 (February 2023) , art. 103213  
Registre complet - Creative Commons
3.
28 p, 592.1 KB Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones / de Carvalho Braga, Denis (Universidade Federal de Itajubá. Instituto de Matemática e Computação) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mello, Luis Fernando (Universidade Federal de Itajubá. Instituto de Matemática e Computação)
We present a general mechanism of generation of limit cycles in planar piecewise polynomial differential systems with two zones by means of a transcritical bifurcation at infinity and from a global centre. [...]
2022 - 10.1080/14689367.2022.2092454
Dynamical Systems, Vol. 37, Issue 4 (August 2022) , p. 578-602  
Registre complet - Creative Commons
4.
16 p, 409.5 KB Phase portraits of the Selkov model in the Poincaré disc / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Nabavi, Arefeh (Isfahan University of Technology. Department of Mathematical Sciences (Iran))
In this paper we classify the phase portraits in the Poincaré disc of the Selkov model for the glycolysis process x˙ = −x + ay + x2y, y˙ = b − ay − x2y, in function of its parameters a, b ∈ R. [...]
2022 - 10.3934/dcdsb.2022056
Discrete and Continuous Dynamical Systems - B, Vol. 27, Issue 12 (December 2022) , p. 7607-7623  
Registre complet -
5.
11 p, 365.9 KB Phase portraits of the Leslie-Gower system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i. e. , in the compactification of ℝ adding the circle S of the infinity) modulo topological equivalence. [...]
2022 - 10.1007/s10473-022-0502-4
Acta Mathematica Scientia, Vol. 42, Issue 5 (September 2022) , p. 1734-1742  
Registre complet -
6.
10 p, 681.8 KB Dynamics of the Szekeres system / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
The Szekeres model is a differential system in R4 that provides the solutions of the Einstein field equations in the presence of irrotational dust. This differential system is integrable with two rational first integrals and one analytic first integral. [...]
2021 - 10.1063/5.0054051
Journal of Mathematical Physics, Vol. 62, Issue 8 (August 2021) , art. 82502  
Registre complet -
7.
6 p, 623.5 KB Polynomial differential systems with even degree have no global centers / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
Let x˙=P(x,y), y˙=Q(x,y) be a differential system with P and Q real polynomials, and let d=max⁡{degP,degQ}. A singular point p of this differential system is a global center if R2∖{p} is filled with periodic orbits. [...]
2021 - 10.1016/j.jmaa.2021.125281
Journal of mathematical analysis and applications, Vol. 503, Issue 1 (November 2021) , art. 125281  
Registre complet - Creative Commons
8.
18 p, 835.5 KB Bifurcations of the Riccati quadratic polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Lopes, Bruno D. (Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica) ; Da Silva, Paulo R. (Universidade Estadual Paulista. Departamento de Matemática)
In this paper, we characterize the global phase portrait of the Riccati quadratic polynomial differential system ẋ = α2(x), ẏ = ky2 + β1(x)y + γ2(x), with (x,y)∈R2, γ2(x) nonzero (otherwise the system is a Bernoulli differential system), k ≠ 0 (otherwise the system is a Liénard differential system), β1(x) a polynomial of degree at most 1, α2(x) and γ2(x) polynomials of degree at most 2, and the maximum of the degrees of α2(x) and ky2 + β1(x)y + γ2(x) is 2. [...]
2021 - 10.1142/S0218127421500942
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 6 (May 2021) , art. 2150094  
Registre complet -
9.
8 p, 1014.8 KB Phase portraits of the complex Abel polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
In this paper we characterize the phase portraits of the complex Abel polynomial differential equations z˙=(z−a)(z−b)(z−c),with z∈C, a,b,c∈C. We give the complete description of their topological phase portraits in the Poincaré disc, i. [...]
2021 - 10.1016/j.chaos.2021.111050
Chaos, solitons and fractals, Vol. 148 (July 2021) , art. 111050  
Registre complet - Creative Commons
10.
6 p, 264.2 KB On the limit cycle of a Belousov-Zhabotinsky differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e Computação.)
In Leonov and Kuznetsov (2013), the authors shown numerically the existence of a limit cycle surrounding the unstable node that system (1) has in the positive quadrant for specific values of the parameters. [...]
2022 - 10.1002/mma.7798
Mathematical methods in the applied sciences, Vol. 45, Issue 2 (January 2022) , p. 579-584  
Registre complet -

Articles : 46 registres trobats   1 - 10següentfinal  anar al registre:
Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.
Dipòsit Digital de Documents de la UAB :: Cerca :: Lliura :: Personalitza :: Ajuda
Powered by Invenio v1.1.6
Mantingut per ddd.bib@uab.cat  :: Metadades subjectes a:
Col·laborem