Results 31 to 40 of about 17,646,145 (276)
Results in Physics, 2022 The coupled nonlinear Maccari systems are very important equations which have been developed vigorously in the fields of the nonlinear optics, deep water theory, plasma physics, nonlinear optics and so on.
Zhao Li, Xinyu Xie, Changjiang Jin
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ON THE GLOBAL CENTER OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS AND THE RELATED PROBLEMS
Journal of Applied Analysis & Computation, 2022 Summary: In the paper we characterize planar polynomial differential systems with a global center, that is, every orbit of the system is a periodic orbit in \(\mathbb{R}^2\). Further, we give algebraic sufficient and necessary conditions for potential systems and Liénard systems which have a global center, respectively.
He, Hongjin, Xiao, Dongmei
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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 +1 more
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Isochronicity conditions for some planar polynomial systems II
Bulletin des Sciences Mathématiques, 2011 We study the isochronicity of centers at $O\in \mathbb{R}^2$ for systems $$\dot x=-y+A(x,y),\;\dot y=x+B(x,y),$$ where $A,\;B\in \mathbb{R}[x,y]$, which can be reduced to the Liénard type equation. When $deg(A)\leq 4$ and $deg(B) \leq 4$, using the so-called C-algorithm we found $36$ new families of isochronous centers. When the Urabe function $h=0$ we
Bardet, Magali +3 more
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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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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 +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 +2 more
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Rigid Polynomial Differential Systems with Homogeneous Nonlinearities
MathematicsPlanar 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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