Results 31 to 40 of about 810,503 (294)

Quadratic systems with a symmetrical solution

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
doaj   +1 more source

Quadratic Poisson algebras for two dimensional classical superintegrable systems and quadratic associative algebras for quantum superintegrable systems

, 2000
The integrals of motion of the classical two dimensional superintegrable systems with quadratic integrals of motion close in a restrained quadratic Poisson algebra, whose the general form is investigated.
Daskaloyannis, C.
core   +1 more source

Toda lattice field theories, discrete W algebras, Toda lattice hierarchies and quantum groups [PDF]

, 1996
In analogy with the Liouville case we study the $sl_3$ Toda theory on the lattice and define the relevant quadratic algebra and out of it we recover the discrete $W_3$ algebra.
Aldrovandi, Alekseev, Babelon, Babelon, Babelon, Babelon, Belov, Belov, Bonora, Bonora, Bonora, Bonora, Bonora, Bonora, C.P. Constantinidis, Dijkgraaf, Faddeev, Falceto, Kontsevitch, L. Bonora, L.P. Colatto, Matone, Volkov, Witten   +23 more
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New Exploration of Phase Portrait Classification of Quadratic Polynomial Differential Systems Based on Invariant Theory

AppliedMath
After linear differential systems in the plane, the easiest systems are quadratic polynomial differential systems in the plane. Due to their nonlinearity and their many applications, these systems have been studied by many authors.
Joan Carles Artés, Laurent Cairó, Jaume Llibre   +2 more
doaj   +1 more source

Adaptive Model Predictive Control of a Two-wheeled Robot Manipulator with Varying Mass

Measurement + Control, 2018
This paper presents the adaptive model predictive control approach for a two-wheeled robot manipulator with varying mass. The mass variation corresponds to the robot picking and placing objects or loads from one place to another.
Mert Önkol, Coşku Kasnakoğlu
doaj   +1 more source

Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation

, 2007
Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced.
Arnol'd V. I., Arnol'd V. I., Cesari L., G. LEONOV, Lefschetz S., Leonov G. A., Leonov G. A., Leonov G. A., Shi S. L.   +8 more
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An Optimal Generation Scheduling Approach Based on Linear Relaxation and Mixed Integer Programming

IEEE Access, 2020
This paper proposes an optimal generation scheduling approach based on linear relaxation and mixed integer programming, which is used to solve the generation dispatch problem.
Yunkai Lei, Fang Liu, Ao Li, Yunche Su, Xinting Yang, Jiehui Zheng   +5 more
doaj   +1 more source

Complex dynamics of a sub-quadratic Lorenz-like system

Open Physics, 2023
Motivated by the generic dynamical property of most quadratic Lorenz-type systems that the unstable manifolds of the origin tending to the stable manifold of nontrivial symmetrical equilibria forms a pair of heteroclinic orbits, this technical note ...
Li Zhenpeng, Ke Guiyao, Wang Haijun, Pan Jun, Hu Feiyu, Su Qifang   +5 more
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Systems of quadratic forms.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1984
Let \(u_ F(r)\) be the smallest integer such that every system of r quadratic forms in n variables, defined over a field F, has a nontrivial common zero if \(n>u_ F(r)\). Let \(u_ F(r)=\infty\) if no such integer exists. Then \(u_ F(r)\leq frac{1}{2}(r^ 2+r)u_ F(1)\) and there exist fields for which this bound is best possible when \(r=1,2,3\). If F is
openaire   +2 more sources

Nests of limit cycles in quadratic systems

Advances in Nonlinear Analysis
We give a proof of the distribution property of limit cycles in so-called quadratic systems. We prove that the possible limit cycle distributions are either (n,0)\left(n,0) or (n,1)\left(n,1) (where n∈{0}∪Nn\in \left\{0\right\}\cup {\mathbb{N}}). The aim
Zegeling André
doaj   +1 more source