Results 21 to 30 of about 250,497 (280)
The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider planar polynomial systems of ordinary differential equations of the form $\dot x = x + P_n(x,y)$, $\dot y = y + Q_n(x,y)$, where $P_n(x,y),\ Q_n(x,y)$ are homogeneous polynomials of degree $n$.
Vladimir Cheresiz, Evgenii Volokitin
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The $16$th Hilbert problem on algebraic limit cycles [PDF]
, 2014 For real planar polynomial differential systems there appeared a simple version of the $16$th Hilbert problem on algebraic limit cycles: {\it Is there an upper bound on the number of algebraic limit cycles of all polynomial vector fields of degree $m ...
Xiang, Zhang
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An Algebra for Kripke Polynomial Coalgebras [PDF]
2009 24th Annual IEEE Symposium on Logic In Computer Science, 2009 Several dynamical systems, such as deterministic automata and labelled transition systems, can be described as coalgebras of so-called Kripke polynomial functors, built up from constants and identities, using product, coproduct and powerset. Locally finite Kripke polynomial coalgebras can be characterized up to bisimulation by a specification language ...
Marcello M. Bonsangue +2 more
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Asymptotically Good Quantum Codes [PDF]
, 2000 Using algebraic geometry codes we give a polynomial construction of quantum codes with asymptotically non-zero rate and relative distance.Comment: 15 pages, 1 ...
Ashikhmin, A. +2 more
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Permutation polynomials, fractional polynomials, and algebraic curves [PDF]
Finite Fields and Their Applications, 2018 In this note we prove a conjecture by Li, Qu, Li, and Fu on permutation trinomials over $\mathbb{F}_3^{2k}$. In addition, new examples and generalizations of some families of permutation polynomials of $\mathbb{F}_{3^k}$ and $\mathbb{F}_{5^k}$ are given. We also study permutation quadrinomials of type $Ax^{q(q-1)+1} + Bx^{2(q-1)+1} + Cx^{q} + x$.
Daniele Bartoli, Massimo Giulietti
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Markov cubature rules for polynomial processes [PDF]
, 2019 We study discretizations of polynomial processes using finite state Markov processes satisfying suitable moment matching conditions. The states of these Markov processes together with their transition probabilities can be interpreted as Markov cubature ...
Filipović, Damir +2 more
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An algebraic approach to Lidstone polynomials
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SERPE, Annarosa, FRANCESCO A. COSTABILE
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Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
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A New Approach of Morgan-Voyce Polynomial to Solve Three Point Boundary Value Problems
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 In this paper, a new procedure is introduced to estimate the solution for the three-point boundary value problem which is instituted on the use of Morgan-Voyce polynomial. In the beginning, Morgan-Voyce polynomial along with their important properties is
Bushra Esaa Kashem
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Polynomial relations in the Heisenberg algebra [PDF]
Journal of Mathematical Physics, 1994 Polynomial relations between the generators of the classical and quantum Heisenberg algebras are presented. Some of those relations can have the meaning of the formulas of the normal ordering for the creation/annihilation operators which occur in the method of the second quantization.
Fleury, Norbert, Turbiner, Alexander
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