Results 21 to 30 of about 395,045 (283)
Integrability of planar polynomial differential systems through linear differential equations [PDF]
, 2005 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.
Giacomini, Héctor +2 more
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Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor [PDF]
Journal of Dynamics and Differential Equations, 2011 In this paper we study the maximum number of limit cycles that can bifurcate from a focus singular point $p_0$ of an analytic, autonomous differential system in the real plane under an analytic perturbation. We consider $p_0$ being a focus singular point of the following three types: non-degenerate, degenerate without characteristic directions and ...
García, Isaac A. +2 more
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Scattering and absorption properties of biomaterials for dental restorative applications [PDF]
Journal of the European Optical Society-Rapid Publications, 2013 The physical understanding of the optical properties of dental biomaterials is mandatory for their final success in restorative applications. Light propagation in biological media is characterized by the absorption coefficient, the scattering coefficient,
Fernández-Oliveras A. +2 more
doaj +1 more source
On the definition of temperature using time--averages [PDF]
, 2005 This paper is a natural continuation of a previous one by the author, which was concerned with the foundations of statistical thermodynamics far from equilibrium. One of the problems left open in that paper was the correct definition of temperature.
A. Carati +12 more
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Formal Inverse Integrating Factor and the Nilpotent Center Problem [PDF]
International Journal of Bifurcation and Chaos, 2016 We are interested in deepening the knowledge of methods based on formal power series applied to the nilpotent center problem of planar local analytic monodromic vector fields [Formula: see text]. As formal integrability is not enough to characterize such a center we use a more general object, namely, formal inverse integrating factors [Formula: see ...
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Non-formally integrable centers admitting an algebraic inverse integrating factor
Discrete & Continuous Dynamical Systems - A, 2018 Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrat ing factor is established, we characterize the systems having a center. Among others, we characterize the centers
Algaba Durán, Antonio +3 more
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Inverse Jacobian multipliers and Hopf bifurcation on center manifolds [PDF]
, 2014 In this paper we consider a class of higher dimensional differential systems in $\mathbb R^n$ which have a two dimensional center manifold at the origin with a pair of pure imaginary eigenvalues. First we characterize the existence of either analytic or $
Zhang, Xiang
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On the Shape of Limit Cycles That Bifurcate from Isochronous Center
The Scientific World Journal, 2014 New idea and algorithm are proposed to compute asymptotic expression of limit cycles bifurcated from the isochronous center. Compared with known inverse integrating factor method, new algorithm to analytically computing shape of limit cycle proposed in ...
Guang Chen, Yuhai Wu
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Nondegenerate centers for Abel polynomial differential equations of second kind [PDF]
, 2017 In this paper we study the center problem for Abel polynomial differential equations of second kind. Computing the focal values and using modular arithmetics and Gröbner bases we find the center conditions for such systems for lower degrees.The first ...
Giné, Jaume, Valls, Claudia
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Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor [PDF]
Communications in Nonlinear Science and Numerical Simulation, 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 existence of a formal inverse integrating factor.
Antonio Algaba +2 more
openaire +4 more sources