Results 41 to 50 of about 262,161 (280)
Characteristic set method for differential–difference polynomial systems
Journal of Symbolic Computation, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, X.S. +3 more
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Solution of Polynomial Systems Derived from Differential Equations
Computing, 2005 Nonlinear two-point boundary value problems arise in numerous areas of application. The existence and number of solutions for various cases has been studied from a theoretical standpoint. These results generally rely upon growth conditions of the nonlinearity.
Allgower, E. L. +3 more
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Stability and Control of Power Systems using Vector Lyapunov Functions and Sum-of-Squares Methods
, 2015 Recently sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extended to non-polynomial dynamical systems, including power systems, using an ...
Anghel, Marian, Kundu, Soumya
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Algorithms yield upper bounds in differential algebra
, 2020 Consider an algorithm computing in a differential field with several commuting derivations such that the only operations it performs with the elements of the field are arithmetic operations, differentiation, and zero testing.
Li, Wei +3 more
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The easiest polynomial differential systems in R^3 having an invariant cylinder
Extracta MathematicaeThis paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on ...
J. Llibre, L.P. Serantola
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Limit cycles for a class of polynomial differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the limit cycles of a class of polynomial differential systems of the form $\dot{x}=-y^{2p-1},\ \dot{y}=x^{2mp-1}+\varepsilon(px^{2mp}+qy^{2p})(g(x,y)-A)$, where $g(x,y)$ is a polynomial.
Jianyuan Qiao, Shuliang Shui
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Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2 [PDF]
, 2016 Agraïments: FEDER-UNAB-10-4E-378, and a CAPES grant number 88881. 030454/2013-01 from the program CSF-PVE and CNPq grant "Projeto Universal 472796/2013-5".
de Moraes, Jaime R. +2 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source
The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
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Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
wiley +1 more source