Results 61 to 70 of about 505,503 (271)
Fields of rational constants of cyclic factorizable derivations
Electronic Journal of Differential Equations, 2015 We describe all rational constants of a large family of four-variable cyclic factorizable derivations. Thus, we determine all rational first integrals of their corresponding systems of differential equations.
Janusz Zielinski
doaj
Journal of Applied Mathematics, 2012 Accurate approximate closed-form solutions for the cubic-quintic Duffing oscillator are obtained in terms of elementary functions. To do this, we use the previous results obtained using a cubication method in which the restoring force is expanded in ...
A. Beléndez +6 more
doaj +1 more source
Molecular Oncology, EarlyView.In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source
Dispersion relations for unphysical particles
EPJ Web of Conferences, 2017 Generalized dispersion relations are discussed for unphysical particles, e.g. confined degrees of freedom that are not present in the physical spectra but can give rise to observable bound states.
Siringo Fabio
doaj +1 more source
Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields [PDF]
Mathematics of Computation, 2015 We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach is inspired by an idea of Ferragut and Giacomini. We improve upon their work by proving that rational first integrals can be computed via systems of linear equations instead of systems of quadratic equations.
Bostan, Alin +3 more
openaire +4 more sources
Molecular Oncology, EarlyView.We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source
On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2020 This paper presents new results on the bifurcation of medium and small limit cycles from the periodic orbits surrounding a cubic center or from the cubic center that have a rational first integral of degree 2 respectively, when they are perturbed inside ...
Bo Huang
doaj +1 more source
Some new φ-fixed point and φ-fixed disc results via auxiliary functions
Journal of Inequalities and Applications, 2022 In this paper, we first introduce several new contractions by some auxiliary functions. Then we establish some φ-fixed point results for ( γ , ψ , φ , ϕ ) $(\gamma ,\psi ,\varphi ,\phi )$ contractions, rational- ( γ , ψ , φ , ϕ ) $(\gamma , \psi ,\varphi
Yan Sun +4 more
doaj +1 more source
Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
, 2017 We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field arithmetics.
Abreu, Samuel +4 more
core +1 more source
Finding Elementary First Integrals for Rational Second Order Ordinary Differential Equations
, 2005 Here we present an algorithm to find elementary first integrals of rational second order ordinary differential equations (SOODEs). In \cite{PS2}, we have presented the first algorithmic way to deal with SOODEs, introducing the basis for the present work.
Avellar, J. +3 more
openaire +2 more sources