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Depósito Digital de Documentos de la UAB Encontrados 16 registros  1 - 10siguiente  ir al registro: La búsqueda tardó 0.02 segundos. 
1.
On the C1 non-integrability of the autonomous differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In the study of the dynamics of the autonomous differential systems to know the existence or non-existence of first integrals is a relevant fact. These last decades the meromorphic non-integrability of the autonomous differential systems have been studied intensively using the Ziglin's and the Morales-Ramis' theories. [...]
2023 - 10.1016/j.nonrwa.2023.103943
Nonlinear Analysis: Real World Applications, Vol. 74 (December 2023) , art. 103943  
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2.
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  
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3.
Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields / Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin.
2022 - 10.1016/j.nonrwa.2021.103451
Nonlinear Analysis: Real World Applications, Vol. 64 (April 2022) , art. 103451  
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4.
13 p, 764.5 KB Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity / Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ; Torres, Pedro J. (Universidad de Granada. Departamento de Matemática Aplicada)
We prove the existence and multiplicity of periodic solutions of bouncing type for a second-order differential equation with a weak repulsive singularity. Such solutions can be cataloged according to the minimal period and the number of elastic collisions with the singularity in each period. [...]
2022 - 10.1016/j.nonrwa.2021.103441
Nonlinear Analysis: Real World Applications, Vol. 64 (April 2022) , art. 103441
2 documentos
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5.
15 p, 628.2 KB A sufficient condition for the real Jacobian conjecture in R2 / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal))
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y) ∈ R2. We provide some new sufficient conditions for the injectivity of F. The proofs are based on the qualitative theory of differential equations.
2021 - 10.1016/j.nonrwa.2021.103298
Nonlinear Analysis: Real World Applications, Vol. 60 (August 2021) , p. 103298  
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6.
21 p, 356.4 KB Local cyclicity in low degree planar piecewise polynomial vector fields / Gouveia, Luiz Fernando (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work, we are interested in isolated crossing periodic orbits in planar piecewise polynomial vector fields defined in two zones separated by a straight line. In particular, in the number of limit cycles of small amplitude. [...]
2021 - 10.1016/j.nonrwa.2020.103278
Nonlinear Analysis: Real World Applications, Vol. 60 (August 2021) , art. 103278  
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7.
19 p, 824.5 KB Limit cycles of discontinuous piecewise differential systems formed by linear centers in R2 and separated by two circles / Anacleto, Maria Elisa (Universidad del Bio-Bio. Departamento de Matemática (Chile)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática (Portugal)) ; Vidal, Claudio (Universidad del Bio-Bio. Departamento de Matemática (Chile))
We show that discontinuous planar piecewise differential systems formed by linear centers and separated by two concentric circles can have at most three limit cycles. Usually is a difficult problem to provide the exact upper bound that a class of differential systems can exhibit. [...]
2021 - 10.1016/j.nonrwa.2020.103281
Nonlinear Analysis: Real World Applications, Vol. 60 (August 2021) , art. 103281  
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8.
13 p, 1.5 MB Phase portraits of planar piecewise linear refracting systems : Focus-saddle case / Li, Shimin (Guangdong University of Finance and Economics. School of Mathematics and Statistics (China)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper deals with planar piecewise linear refracting systems with a straight line of separation. Using the Poincaré compactification, we provide the classification of the phase portraits in the Poincaré disc of piecewise linear refracting systems with focus-saddle dynamics.
2020 - 10.1016/j.nonrwa.2020.103153
Nonlinear Analysis: Real World Applications, Vol. 56 (December 2020) , art. 103153  
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9.
21 p, 1.9 MB Quantitative analysis of competition models / Chiralt, Cristina (Universitat Jaume I. Departament de Matemàtiques) ; Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Vindel, Pura (Universitat Jaume I. Departament de Matemàtiques)
We study a 2-species Lotka-Volterra type differential system, modeling competition between two species and having a coexistence equilibrium in the first quadrant. In case that this equilibrium is of saddle type, its stable manifold divides the first quadrant into two zones. [...]
2017 - 10.1016/j.nonrwa.2017.06.001
Nonlinear Analysis: Real World Applications, Vol. 38 (2017) , p. 327-347  
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10.
11 p, 698.6 KB Zero-Hopf bifurcation in a Chua system / D. Euzébio, Rodrigo (Universidade Estadual Paulista (Brasil). Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are ±ωi ̸= 0 and 0. In general for a such equilibrium there is no theory for knowing when it bifurcates some small-amplitude limit cycles moving the parameters of the system. [...]
2017 - 10.1016/j.nonrwa.2017.02.002
Nonlinear Analysis: Real World Applications, Vol. 37 (2017) , p. 31-40  
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