Results 151 to 160 of about 192 (184)

A note on Liouvillian first integrals and invariant algebraic curves

Applied Mathematics Letters, 2013
In this paper we study the existence and non-existence of finite invariant algebraic curves for complex planar polynomial differential system having a Liouvillian first integral.
Jaume Gine, Maite Grau, Jaume Llibre
exaly   +4 more sources

Invariant algebraic curves for Liénard dynamical systems revisited [PDF]

Applied Mathematics Letters, 2018
A novel algebraic method for finding invariant algebraic curves for a polynomial vector field in $\mathbb{C}^2$ is introduced. The structure of irreducible invariant algebraic curves for Liénard dynamical systems $x_t=y$, $y_t=-g(x)y-f(x)$ with $\text{deg} f=\text{deg} g+1$ is obtained.
Maria Demina
exaly   +4 more sources

Some of the next articles are maybe not open access.

Related searches:

Invariant Algebraic Curves of Polynomial Dynamical Systems

Differential Equations, 2003
The authors consider two-dimensional polynomial dynamical systems and study when their limit cycles are invariant algebraic curves. This problem goes back to Darboux, Poincaré, Erugin. The authors present some new interesting results.
Dolov, M. V., Pavlyuk, Yu. V.
openaire   +2 more sources

Semidifferential Invariants for Tactile Recognition of Algebraic Curves

The International Journal of Robotics Research, 2005
In this paper we study the recognition of low-degree polynomial curves based on minimal tactile data. Euclidean differential and semidifferential invariants have been derived for quadratic curves and special cubic curves that are found in applications.
Rinat Ibrayev, Yan-Bin Jia
openaire   +1 more source

Invariant Curves by Vector Fields on Algebraic Varieties

Journal of the London Mathematical Society, 2000
Summary: If \(C\) is a reduced curve which is invariant by a one-dimensional foliation \(\mathcal F\) of degree \(d_{\mathcal F}\) on the projective space then it is shown that \(d_{\mathcal F} -1+a\) is a bound for the quotient of the two coefficients of the Hilbert-Samuel polynomial for \(C\), where \(a\) is an integer obtained from a concrete ...
Campillo, A., Carnicer, M. M., García de la Fuente, J.   +2 more
openaire   +2 more sources

Projectively invariant representations using implicit algebraic curves

Image and Vision Computing, 1990
Abstract We demonstrate that it is possible to compute polynomial representations of image curves which are unaffected by the projective frame in which the representation is computed. This means that: ‘The curve chosen to represent a projected set of points is the projection of the curve chosen to represent the original set.’ We achieve this by using
Forsyth, D, Mundy, JL, Zisserman, A, Brown, CM   +3 more
openaire   +1 more source

A New Affine Invariant Fitting Algorithm for Algebraic Curves

Lecture Notes in Computer Science, 2004
In this paper, we present a new affine invariant curve fitting technique. Our method is based on the affine invariant Fourier descriptors and implicitization of them by matrix annihilation. Experimental results are presented to assess the stability and robustness of our fitting method under data perturbations.
Mustafa Unel
exaly   +2 more sources

Invariant singular points of algebraic curves

Mathematical Notes of the Academy of Sciences of the USSR, 1983
Let \(F\subset {\mathbb{C}}P^ 2\) be a plane curve and \(p\in F\) a singular point of F. The author establishes the following equality of local numerical invariants of the singularity (F,p): \(h(p)=2{\mathcal H}(p)+2g(p)+s^*(p),\) where \({\mathcal H}(p)\) is the intersection number p of the curve F and a generic curve whose equation is of the form: \(\
openaire   +2 more sources

Invariant Algebraic Curves and Hyperelliptic Limit Cycles of Liénard Systems

Qualitative Theory of Dynamical Systems, 2021
The paper under review studies Liénard systems of the form \[ \dot x=y, \quad \dot y=-f_m(x)y-g_n(x) \] with the focus on the following two aspects: the existence of invariant algebraic curves and hyperelliptic limit cycles of the systems. The functions \(f_m(x)\) and \(g_n(x)\) involved are real polynomials of degree \(m\) and \(n\), respectively. One
Qian, Xinjie, Shen, Yang, Yang, Jiazhong
openaire   +2 more sources

Affine invariant fitting of algebraic curves using Fourier descriptors [PDF]

Pattern Analysis and Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Şener, Sait, Ünel, Mustafa
openaire   +2 more sources