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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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
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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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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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Regularized inversion of aerosol hygroscopic growth factor probability density function: Application to humidity-controlled fast integrated mobility spectrometer measurements [PDF]
Atmospheric Measurement Techniques, 2021 Abstract. Aerosol hygroscopic growth plays an important role in atmospheric particle chemistry and the effects of aerosol on radiation and hence climate. The hygroscopic growth is often characterized by a growth factor probability density function (GF-PDF), where the growth factor is defined as the ratio of the particle size at a specified relative ...
J. Zhang +5 more
openaire +3 more sources
On the dispute between Boltzmann and Gibbs entropy [PDF]
, 2016 Very recently, the validity of the concept of negative temperature has been challenged by several authors since they consider Boltzmann's entropy (that allows negative temperatures) inconsistent from a mathematical and statistical point of view, whereas ...
Buonsante, Pierfrancesco +2 more
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Tsallis Ensemble as an Exact Orthode
, 2006 We show that Tsallis ensemble of power-law distributions provides a mechanical model of nonextensive equilibrium thermodynamics for small interacting Hamiltonian systems, i.e., using Boltzmann's original nomenclature, we prove that it is an exact orthode.
Abe +19 more
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The role of algebraic solutions in planar polynomial differential systems [PDF]
, 2005 We study a planar polynomial differential system, given by \dot{x}=P(x,y), \dot{y}=Q(x,y). We consider a function I(x,y)=\exp \{h_2(x) A_1(x,y) \diagup A_0(x,y) \} h_1(x) \prod_{i=1}^{\ell} (y-g_i(x))^{\alpha_i}, where g_i(x) are algebraic functions, A_1(
Giacomini, Héctor +2 more
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Multigrid Methods in Lattice Field Computations
, 1992 The multigrid methodology is reviewed. By integrating numerical processes at all scales of a problem, it seeks to perform various computational tasks at a cost that rises as slowly as possible as a function of $n$, the number of degrees of freedom in the
Achi Brandt +80 more
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Steady dynamos in finite domains: an integral equation approach [PDF]
, 2000 The paper deals with the integral equation approach to steady kinematic dynamo models in finite domains based on Biot-Savart's law. The role of the electric potential at the boundary is worked out explicitly.
Brandenburg +21 more
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