Results 1 to 10 of about 12,307 (180)
Stable piecewise polynomial vector fields [PDF]
Electronic Journal of Differential Equations, 2012 Let $N={y>0}$ and $S={y<0}$ be the semi-planes of $mathbb{R}^2$ having as common boundary the line $D={y=0}$. Let $X$ and $Y$ be polynomial vector fields defined in $N$ and $S$, respectively, leading to a discontinuous piecewise polynomial vector ...
Claudio Pessoa, Jorge Sotomayor
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Finitely curved orbits of complex polynomial vector fields [PDF]
Anais da Academia Brasileira de Ciências, 2007 This note is about the geometry of holomorphic foliations. Let X be a polynomial vector field with isolated singularities on C². We announce some results regarding two problems: 1.
Albetã C. Mafra
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Centralizers of elements in Lie algebras of vector fields with polynomial coefficients
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 \abstract{ukrainian}{ Нехай $\mathbb K$ -- алгебраїчно замкнене поле харатеристики нуль, $A = \mathbb K[x_1,\dots,x_n]$ -- кільце многочленів і $R = \mathbb K(x_1,\dots,x_n)$ -- поле раціональних функцій від $n$ змінних.
Анатолій Петрович Петравчук
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New Nonlinear Active Element Dedicated to Modeling Chaotic Dynamics with Complex Polynomial Vector Fields [PDF]
Entropy, 2019 This paper describes evolution of new active element that is able to significantly simplify the design process of lumped chaotic oscillator, especially if the concept of analog computer or state space description is adopted.
Jiri Petrzela, Roman Sotner
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Periodic perturbations of quadratic planar polynomial vector fields [PDF]
Anais da Academia Brasileira de Ciências, 2002 In this work are studied periodic perturbations, depending on two parameters, of quadratic planar polynomial vector fields having an infinite heteroclinic cycle, which is an unbounded solution joining two saddle points at infinity.
MARCELO MESSIAS
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Polynomial reconstruction of staggered unstructured vector fields [PDF]
Theoretical and Applied Mechanics, 2009 Polynomial reconstruction of staggered unstructured vector fields has been considered. Coefficients of such polynomials are determined by the least squares method. Reduction in the rank of the least squares systems caused by the over-specification of the
Vidović Dragan
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Complete polynomial vector fields in simplexes with application to evolutionary dynamics
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We describe the complete polynomial vector fields and their fixed points in a finite-dimensional simplex and we apply the results to differential equations of genetical evolution models.
N. M. Ben Yousif
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A class of integrable polynomial vector fields [PDF]
Applicationes Mathematicae, 1995 The integrability of the two-dimensional autonomous systems of differential equations \(\dot x = - y + X_s (x,y)\), \(\dot y = x + Y_s (x,y)\), where \(X_s\) and \(Y_s\) are homogeneous polynomials of degree \(s\) with \(s \geq 2\), is studied in the paper.
J. Chavarriga
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Dynamical convergence and polynomial vector fields [PDF]
Journal of Differential Geometry, 2007 International ...
Xavier Buff, Lei Tan
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Isochronicity and commutation of polynomial vector fields [PDF]
Siberian Mathematical Journal, 1999 21 pages, LaTeX, 5 PostScript ...
E. P. Volokitin, Vladimir V. Ivanov
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