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Polynomial Interpretations over the Natural, Rational and Real Numbers Revisited [PDF]
Logical Methods in Computer Science, 2014 Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and integer coefficients. As to their relationship with respect to termination
Friedrich Neurauter, Aart Middeldorp
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Polynomial and rational integrability of polynomial Hamiltonian systems
Electronic Journal of Differential Equations, 2012 Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general ...
Jaume Llibre +2 more
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The fast algorithm for computing all steady states in overlapping generations models [PDF]
Mathematics and Modeling in Finance, 2023 Modern research often requires the use of economic models with multiple agents that interact over time. In this paper we research overlapping generations models, hereinafter OLG.
Alexey Zaytsev
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stability analysis of fuzzy Polynomial fractional differential Systems using Sum-of-Squares [PDF]
مجله مدل سازی در مهندسی, 2022 This paper discusses the stability analysis of fractional-order polynomial systems by using the sum of squares method. furthermore the feasibility of designing the problems demonstrates which can not be represented in LMIs.
hassan yaghoubi, Assef Zare
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The Investigation of Nonlinear Polynomial Control Systems
Моделирование и анализ информационных систем, 2021 The paper considers methods for estimating stability using Lyapunov functions, which are used for nonlinear polynomial control systems. The apparatus of the Gro¨bner basis method is used to assess the stability of a dynamical system. A description of the
Sergei Nikolaevich Chukanov +1 more
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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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Polynomial Entropy and Polynomial Torsion for Fibered Systems
Regular and Chaotic Dynamics, 2023 AbstractGiven a continuous fibered dynamical system, we first introduce the notion of polynomial torsion of a fiber, which measures the “infinitesimal variation” of the dynamics between the fiber and the neighboring ones. This gives rise to an (upper semicontinous) torsion function, defined on the base of the system, which is a new $$C^{0}$$ (fiber ...
Grycan-Gérard, Flavien +1 more
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Periodic perturbations of quadratic planar polynomial vector fields
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
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Axioms, 2023 This paper proposes a novel approach for analyzing the stability of polynomial fractional-order systems using the frequency-distributed fractional integrator model.
Hassan Yaghoubi +3 more
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Superintegrability and higher order polynomial algebras II [PDF]
, 2009 In an earlier article, we presented a method to obtain integrals of motion and polynomial algebras for a class of two-dimensional superintegrable systems from creation and annihilation operators.
Calzada J A +26 more
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