Results 31 to 40 of about 471,373 (286)
On the Limit Cycles for Continuous and Discontinuous Cubic Differential Systems
Discrete Dynamics in Nature and Society, 2016 We study the number of limit cycles for the quadratic polynomial differential systems x˙=-y+x2, y˙=x+xy having an isochronous center with continuous and discontinuous cubic polynomial perturbations.
Ziguo Jiang
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Pulse characteristics of passively mode-locked diode lasers [PDF]
, 1995 For the first time to our knowledge, asymmetric pulse shapes and the linear and nonlinear chirp from a passively mode-locked semiconductor laser are directly measured.
Salvatore, Randal A. +2 more
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The third order Melnikov function of a quadratic center under quadratic perturbations
Journal of Mathematical Analysis and Applications, 2007 We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit cycles.
Buica, Adriana +2 more
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Mathematics, 2022 Multi-center location of pharmaceutical logistics is the focus of pharmaceutical logistics research, and the dynamic uncertainty of pharmaceutical logistics multi-center location is a difficult point of research.
Zhiyuan Yuan, Jie Gao
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Quantum Hall states of bosons in rotating anharmonic traps [PDF]
, 2013 We study a model of bosons in the lowest Landau level in a rotating trap where the confinement potential is a sum of a quadratic and a quartic term. The quartic term improves the stability of the system against centrifugal deconfinement and allows to ...
Rougerie, Nicolas +2 more
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Cooper pair dispersion relation in two dimensions
, 2000 The Cooper pair binding energy {\it vs.} center-of-mass-momentum dispersion relation for Bose-Einstein condensation studies of superconductivity is found in two dimensions for a renormalized attractive delta interaction.
A. Puente +15 more
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Abelian integrals of quadratic hamiltonian vector fields with an invariant straight line [PDF]
, 1995 We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is ...
Li, Chengzhi +2 more
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Perturbations of quadratic centers
Bulletin des Sciences Mathématiques, 1998 This paper addresses the bifurcation of limit cycles from a center of a quadratic system. More precisely, consider a quadratic system \[ \dot x=f(x,y),\qquad \dot y=g(x,y), \] with a rest point at the origin that is surrounded by an annulus of periodic solutions and the perturbed system \[ \dot x=f(x,y)+\varepsilon P(x,y,\varepsilon),\qquad \dot y=g(x ...
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Cooper pair dispersion relation for weak to strong coupling [PDF]
, 2000 Cooper pairing in two dimensions is analyzed with a set of renormalized equations to determine its binding energy for any fermion number density and all coupling assuming a generic pairwise residual interfermion interaction.
A. Ghosh +33 more
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Centers in domains with quadratic growth
Open Mathematics, 2005 Abstract Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r.
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