Results 41 to 50 of about 253,152 (270)

On a certain functional equation in the algebra of polynomials with complex coefficients

Abstract and Applied Analysis, 2006
Many analytical problems can be reduced to determining the number of roots of a polynomial in a given disc. In turn, the latter problem admits further reduction to the generalized Rauss-Hurwitz problem of determining the number of roots of a polynomial ...
E. Muhamadiev
doaj   +1 more source

Stable Planar Polynomial Vector Fields

Revista Matemática Iberoamericana, 1985
Let \(\chi_ n\) be the vector space of polynomial vector fields in \(R^ 2\) with coefficients of degree \(\leq n\). Every \(X\in \chi_ n\) transported to the upper hemisphere \(S^ 2_+\) by the central projection and normalized suitably extends to an analytic vector field \({\mathcal P}(X)\) on \(S^ 2\).
openaire   +3 more sources

Periodic orbits for real planar polynomial vector fields of degree $n$ having $n$ invariant straight lines taking into account their multiplicities

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We study the existence and non--existence of periodic orbits and limit cycles for planar polynomial differential systems of degree $n$ having $n$ real invariant straight lines taking into account their multiplicities.
Jaume Llibre, Ana Rodrigues
doaj   +1 more source

Stability analysis of a hybrid DC-DC buck converter model using dissipation inequality and convex optimization

Journal of Mechatronics, Electrical Power, and Vehicular Technology, 2023
The stability analysis of a DC-DC buck converter is a challenging problem due to the hybrid systems characteristic of its dynamics. Such a challenge arises from the buck converter operation which depends upon the ON/OFF logical transitions of its ...
Tua A. Tamba, Jonathan Chandra, Bin Hu
doaj   +1 more source

Dynamical convergence and polynomial vector fields

Journal of Differential Geometry, 2007
International ...
Buff, X., Lei, Tan
openaire   +4 more sources

Upper bounds for the number of orbital topological types of planar polynomial vector fields "modulo limit cycles"

, 2004
The paper deals with planar polynomial vector fields. We aim to estimate the number of orbital topological equivalence classes for the fields of degree n. An evident obstacle for this is the second part of Hilbert's 16th problem.
A. A. Andronov, A. G. Khovanskii, A. Zvonkin, D. V. Anosov, J. Écalle, L. Markus, L. Markus, R. M. Fedorov, R. M. Fedorov, R. M. Fedorov, V. I. Arnold, V. I. Arnold, W. T. Tutte, Yu. Ilyashenko, Yu. S. Ilyashenko   +14 more
core   +1 more source

Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
doaj   +1 more source

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
doaj   +1 more source

Characteristic Relations for Quantum Matrices

, 1995
General algebraic properties of the algebras of vector fields over quantum linear groups $GL_q(N)$ and $SL_q(N)$ are studied. These quantum algebras appears to be quite similar to the classical matrix algebra.
Alekseev A Yu, Burroughs N, Chu C-S, Drabant B, Drinfel'd V G, Faddeev L D, Faddeev L D, Jimbo M, Jurco B, Kulish P P, Kulish P P, Kulish P P, Lancaster P, Majid Sh, Nazarov M, P A Saponov, P N Pyatov, Reshetikhin N Yu, Reshetikhin N Yu, Shupp P, Shupp P, Wenzl H, Zumino B   +22 more
core   +1 more source