27 citations
- Laboratoire de Mathématiques et Physique ThéoriqueFR2 papers
- Bar-Ilan UniversityIL1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Institut Denis PoissonFR1 paper
- Lebanese UniversityLB1 paper
- Universitat Autònoma de BarcelonaES1 paper
- Universitat de LleidaES1 paper
- Université d'OrléansFR1 paper
5 papers
Unitary Evolution on a Phase Space with Power of Two Discretization
E. G. Floratos, S. Nicolis
We construct quantum evolution operators on the space of states, that realize the metaplectic representation of the modular group SL(2,Z_2^n). This representation acts in a natural…
Explicit non-algebraic limit cycles for polynomial systems
Armengol Gasull, Hector Giacomini, Joan Torregrosa
We consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y), where P_n(x,y), Q_n(x,y) and R_m(x,y) are homogeneous polynomials of degrees n, n and m, respectively…
On the stability of limit cycles for planar differential systems
Hector Giacomini, Maite Grau
We consider a planar differential system , , where and are functions in some open set $\mathcal{U} \subseteq \mathbb{R}^2…
Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity
M. Jazar, R. Kiwan
We give sufficient conditions on the initial data so that a semilinear wave inequality blows-up in finite time. Our method is based on the study of an associated second order diffe…
An optimal systolic inequality for CAT(0) metrics in genus two
Mikhail G. Katz, Stephane Sabourau
We prove an optimal systolic inequality for CAT(0) metrics on a genus~2 surface. We use a Voronoi cell technique, introduced by C.~Bavard in the hyperbolic context. The equality is…