Results 21 to 30 of about 6,408 (248)

Symmetry Axes of Planar Polynomial Differential Systems

Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2010
В.Б.Тлячев и др.Оси симметрии полиномиальных дифференциальных систем на плоскости Рассматривается задача, аналогичная задаче (2)-(3) с заменой ...
V.B. Tlyachev, A.D. Ushkho, D.S. Ushkho
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Spanning forests in regular planar maps (conference version) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
We address the enumeration of $p$-valent planar maps equipped with a spanning forest, with a weight $z$ per face and a weight $u$ per component of the forest.
Mireille Bousquet-Mélou, Julien Courtiel   +1 more
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New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method

Abstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear systems of partial differential equations, including classical Drinfel'd-Sokolov-Wilson system (DSWE), (2 + 1)-dimensional Davey-Stewartson system, and ...
Shoukry Ibrahim Atia El-Ganaini
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On the isochronous center of planar piecewise polynomial potential systems [PDF]

Proceedings of the American Mathematical Society, 2022
This paper is devoted to the isochronicity of two kinds of planar piecewise polynomial potential systems separated by x x ...
Liu, Changjian, Wang, Shaoqing
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Isochronicity and linearizability of planar polynomial Hamiltonian systems

Journal of Differential Equations, 2015
In this paper we study isochronicity and linearizability of planar polynomial Hamiltonian systems. First we prove a theorem which supports a negative answer to the following open question stated by Jarque and Villadelprat in [15]: Do there exist planar polynomial Hamiltonian systems of even degree having an isochronous center?
Jaume Llibre, Valery G. Romanovski
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Output Dead Beat Control for a Class of Planar Polynomial Systems [PDF]

SIAM Journal on Control and Optimization, 1998
The paper concerns discrete-time, input-output systems of polynomial form in a two-dimensional vector space. The system is output dead beat controllable if starting from any initial condition, it is possible to drive the system to the zero output in finite time.
Nešić, D, Mareels, IMY, Bastin, G, Mahony, R   +3 more
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Geometry and integrability of quadratic systems with invariant hyperbolas

Electronic Journal of Qualitative Theory of Differential Equations, 2021
Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira, Dana Schlomiuk, Ana Maria Travaglini   +2 more
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Rigid Polynomial Differential Systems with Homogeneous Nonlinearities

Mathematics
Planar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
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Coefficients of algebraic functions: formulae and asymptotics [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
This paper studies the coefficients of algebraic functions. First, we recall the too-little-known fact that these coefficients $f_n$ have a closed form. Then, we study their asymptotics, known to be of the type $f_n \sim C A^n n^{\alpha}$.
Cyril Banderier, Michael Drmota
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Centers of quasi-homogeneous polynomial planar systems

Nonlinear Analysis: Real World Applications, 2012
25 ...
Algaba, A., Fuentes, N., García, C.
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