Results 1 to 10 of about 70,439 (268)

The fast algorithm for computing all steady states in overlapping generations models [PDF]

open access: yesMathematics 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
doaj   +1 more source

stability analysis of fuzzy Polynomial fractional differential Systems using Sum-of-Squares [PDF]

open access: yesمجله 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
doaj   +1 more source

The Investigation of Nonlinear Polynomial Control Systems

open access: yesМоделирование 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
doaj   +1 more source

The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

open access: yesElectronic 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
doaj   +1 more source

Periodic perturbations of quadratic planar polynomial vector fields

open access: yesAnais 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   +1 more source

Novel Frequency-Based Approach to Analyze the Stability of Polynomial Fractional Differential Equations

open access: yesAxioms, 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
doaj   +1 more source

Polynomial Interpretations over the Natural, Rational and Real Numbers Revisited [PDF]

open access: yesLogical 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
doaj   +1 more source

Linearizability conditions for 1:-5 Lotka-Volterra two-dimensional complex quartic systems

open access: yes上海师范大学学报. 自然科学版, 2017
In this paper we investigate the linearizability problem for the planar Lotka-Volterra complex quartic systems which are 1:-5 linear systems perturbed by homogeneous polynomials of degree 4, that is to say, we consider systems of the form ẋ = x(1 ...
Hu Zhaoping, Zhang Chao
doaj   +1 more source

Rigid continuation paths II. structured polynomial systems

open access: yesForum of Mathematics, Pi, 2023
This work studies the average complexity of solving structured polynomial systems that are characterised by a low evaluation cost, as opposed to the dense random model previously used.
Peter Bürgisser   +2 more
doaj   +1 more source

Bifurcation of critical periods of a quartic system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
For the polynomial system $\dot x = ix + x \bar x ( a x^2 + b x \bar x + c \bar x^2)$ the study of critical period bifurcations is performed. Using calculations with algorithms of computational commutative algebra it is shown that at most two critical ...
Wentao Huang   +3 more
doaj   +1 more source

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