Results 41 to 50 of about 361,038 (279)
Stable Planar Polynomial Vector Fields
Revista Matemática Iberoamericana, 1985 Let \(\chi_ n\) be the vector space of polynomial vector fields in \(R^ 2\) with coefficients of degree \(\leq n\). Every \(X\in \chi_ n\) transported to the upper hemisphere \(S^ 2_+\) by the central projection and normalized suitably extends to an analytic vector field \({\mathcal P}(X)\) on \(S^ 2\).
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The Number of Limit Cycles of a Polynomial System on the Plane
Abstract and Applied Analysis, 2013 We perturb the vector field x˙=-yC(x,y), y˙=xC(x,y) with a polynomial perturbation of degree n, where C(x,y)=(1-y2)m, and study the number of limit cycles bifurcating from the period annulus surrounding the origin.
Chao Liu, Maoan Han
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The Investigation of Nonlinear Polynomial Control Systems
Моделирование и анализ информационных систем, 2021 The paper considers methods for estimating stability using Lyapunov functions, which are used for nonlinear polynomial control systems. The apparatus of the Gro¨bner basis method is used to assess the stability of a dynamical system. A description of the
Sergei Nikolaevich Chukanov +1 more
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, 2004 The paper deals with planar polynomial vector fields. We aim to estimate the number of orbital topological equivalence classes for the fields of degree n. An evident obstacle for this is the second part of Hilbert's 16th problem.
A. A. Andronov +14 more
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Dynamical convergence and polynomial vector fields
Journal of Differential Geometry, 2007 International ...
Buff, X., Lei, Tan
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Poincaré Bifurcations of Two Classes of Polynomial Systems
Abstract and Applied Analysis, 2013 Using bifurcation methods and the Abelian integral, we investigate the number of the limit cycles that bifurcate from the period annulus of the singular point when we perturb the planar ordinary differential equations of the form , with an arbitrary ...
Jing Wang, Shuliang Shui
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Renormalization of vector fields with mass-like coupling in curved spacetime
European Physical Journal C: Particles and Fields, 2019 Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum abelian vector field with a non-derivative coupling to an external tensor field in curved ...
C. Garcia-Recio, L. L. Salcedo
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3D Mesh Model Classification with a Capsule Network
Algorithms, 2021 With the widespread success of deep learning in the two-dimensional field, how to apply deep learning methods from two-dimensional to three-dimensional field has become a current research hotspot.
Yang Zheng +4 more
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Unleashing the Power of Machine Learning in Nanomedicine Formulation Development
Advanced Functional Materials, EarlyView.A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore +7 more
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A UV completion of scalar electrodynamics
, 2010 In previous works, we constructed UV-finite and unitary scalar field theories with an infinite spectrum of propagating modes for arbitrary polynomial interactions. In this paper, we introduce infinitely many massive vector fields into a U(1) gauge theory
I.J.R. Aitchison +6 more
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