Results 31 to 40 of about 22,379 (263)
Correction to Generic polynomial vector fields are not integrable
Indagationes Mathematicae, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maciejewski, Andrzej J. +2 more
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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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Symbolic Computations of First Integrals for Polynomial Vector Fields [PDF]
Foundations of Computational Mathematics, 2019 In this article we show how to generalize to the Darbouxian, Liouvillian and Riccati case the extactic curve introduced by J. Pereira. With this approach, we get new algorithms for computing, if it exists, a rational, Darbouxian, Liouvillian or Riccati first integral with bounded degree of a polynomial planar vector field.
Chèze, Guillaume, Combot, Thierry
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Equivariant decomposition of polynomial vector fields [PDF]
Communications in Contemporary Mathematics, 2020 To compute the unique formal normal form of families of vector fields with nilpotent linear part, we choose a basis of the Lie algebra consisting of orbits under the action of the nilpotent linear part. This creates a new problem: to find explicit formulas for the structure constants in this new basis. These are well known in the 2D case, and recently
Mokhtari, Fahimeh, Sanders, J.A.
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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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Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Ferroelectric nematic liquid crystals (FNLCs) offer fast, tunable polarization and low‐voltage operation but suffer from poor polarization retention at zero field. Semiconductor‐modified FNLCs enhance polarization retention and exhibit short‐ and long‐term electro‐optical responses, while also supporting spike‐type signal integrations.
Kutay Sagdic, Weiming Yao, Danqing Liu
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