Results 1 to 10 of about 253,152 (270)
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
doaj +8 more sources
Polynomial poly-vector fields [PDF]
, 2004 In this text we give a decomposition result on polynomial poly-vector fields generalizing a result on the decomposition of homogeneous Poisson structures. We discuss consequences of this decomposition result in particular for low dimensions and low degrees.
Klinker, Frank
openaire +5 more sources
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
doaj +2 more sources
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
doaj +6 more sources
Poincaré Compactification for Non-polynomial Vector Fields [PDF]
Qualitative Theory of Dynamical Systems, 2020 In this work a theorical framework to apply the Poincar compactification technique to locally Lipschitz continuous vector fields is developed. It is proved that these vectors fields are compactifiable in the n-dimensional sphere, though the compactified vector field can be identically null in the equator.
José Luis Bravo +2 more
openaire +5 more sources
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
doaj +6 more sources
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
doaj +2 more sources
Polynomial Vector Fields on the Clifford Torus [PDF]
International Journal of Bifurcation and Chaos, 2021 First, we characterize all the polynomial vector fields in [Formula: see text] which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.
Jaume Llibre, Adrian C. Murza
openaire +4 more sources
Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?
Mathematics, 2021 This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis, and the global operator theoretic Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov exponent field
Erik M. Bollt, Shane D. Ross
doaj +1 more source
Bounded Polynomial Vector Fields [PDF]
Transactions of the American Mathematical Society, 1990 We prove that, for generic bounded polynomial vector fields in R n {{\mathbf {R}}^n} with isolated critical points, the sum of the indices at all their critical points is ( − 1 ) n {( - 1 ...
Cima, Anna, Llibre, Jaume
openaire +1 more source