Browsing Articles publicats (Matemàtica) by Title
Now showing items 178197 of 348

Improving the peerreview process and editorial quality: key errors escaping the review and editorial process in top scientific journals
(PeerJ, 2016)We apply a novel mistake index to assess trends in the proportion of corrections published between 1993 and 2014 in Nature, Science and PNAS. The index revealed a progressive increase in the proportion of corrections ... 
Inertial mass from Unruh temperatures
(World Scientific Publishing, 2016)It has been proposed that inertia can be explained as follows: when objects accelerate in one direction a Rindler horizon forms in the other direction, suppressing Unruh radiation on that side, and producing a net Unruh ... 
Inertial mass of an elementary particle from the holographic scenario
(World Scientific Publishing, 2017)Various attempts have been made to fully explain the mechanism by which a body has inertial mass. Recently it has been proposed that this mechanism is as follows: when an object accelerates in one direction a dynamical ... 
Integrability Conditions for Complex Homogeneous Kukles Systems
(Atlantis and Taylor & Francis, 2018)In this paper we study the existence of local analytic first integrals for complex polynomial differential systems of the form ẋ = x + Pn(x, y), ẏ = −y, where Pn(x,y) is a homogeneous polynomial of degree n, called the ... 
Integrability conditions for complex kukles systems
(Taylor & Francis, 2017)In this paper, we provide necessary and sufficient conditions for the existence of local analytic first integrals for a seventhparameter family of complex cubic systems called the complex Kukles systems. 
Integrability conditions for Lotka–Volterra planar complex quintic systems
(Elsevier, 2010)In this paper we obtain necessary and sufficient integrability conditions at the origin for the Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree homogeneous polynomials, i.e., we ... 
Integrability conditions of a resonant saddle in generalized Liénardlike complex polynomial differential systems
(Elsevier, 2017)We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. ... 
Integrability conditions of a resonant saddle in Liénardlike complex systems
(Elsevier, 2016)We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle. 
Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities
(Springer, 2015)In this work we complete the integrability conditions (i.e. conditions for the existence of a local analytic first integral) for a family of a resonant saddle perturbed with homogeneous quintic nonlinearities studied in a ... 
Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
(Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997)In this work we study the integrability of twodimensional autonomous system in the plane with linear part of center type and nonlinear part given by homogeneous polynomials of fifth degree. We give a simple characterisation ... 
Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
(Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1996)In this work we study the integrability of a twodimensional autonomous system in the plane with linear part of center type and nonlinear part given by homogeneous polynomials of fourth degree. We give sufficient conditions ... 
Integrability of complex planar systems with homogeneous nonlinearities
(Elsevier, 2016)In this paper we obtain sufficient conditions for the existence of a local analytic first integral for a family of quintic systems having homogeneous nonlinearities. The family studied in this work is the largest one ... 
Integrability of Liénard systems with a weak saddle
(Springer International Publishing, 2017)We characterize the local analytic integrability of weak saddles for complex Lienard systems, x˙ = y−F(x), y˙ = ax, 0 = a ∈ C, with F analytic at 0 and F(0) = F (0) = 0. We prove that they are locally integrable at the ... 
Integrability of LotkaVolterra planar complex cubic systems
(World Scientific, 2016)In this paper we study the LotkaVolterra complex cubic systems. We obtain necessary conditions of integrability for these systems with some restriction on the parameters. The sufficiency is proved for all conditions, ... 
Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor
(Elsevier, 2019)In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the ... 
Integrability of planar polynomial differential systems through linear differential equations
(Rocky Mountain Mathematics Consortium, 2006)In this work we consider rational ordinary differential equations dy/dx = Q(x, y)/P(x, y), with Q(x, y) and P(x, y) coprime polynomials with real coefficients. We give a method to construct equations of this type for ... 
Integrability of the Tolman–Oppenheimer–Volkoff equation
(Elsevier, 2023)In this work we study the global analytic integrability, Louville integrability and Puiseux integrability of the Tolman–Oppenheimer–Volkoff equation. 
Integrable zeroHopf singularities and 3dimensional centers
(20180125)In this paper we show that the wellknown PoincaréLyapunov nondegenerate analytic center problem in the plane and its higher dimensional version expressed as the 3dimensional center problem at the zeroHopf singularity ... 
Intraspecific association between carbon isotope composition and productivity in woody plants: A metaanalysis
(Elsevier, 2016)The study of intraspecific variations in growth and plant physiological response to drought is crucial to understand the potential for plant adaptation to global change. Carbon isotope composition (δ13C) in plant tissues ... 
Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
(MDPI, 2022)In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x 0 = y, y 0 = −fm(x)y − gn(x), where the degrees of the polynomials f and g are m and n, respectively, and ...