Results 31 to 40 of about 155,898 (247)
Tatra Mountains Mathematical Publications, 2021 The problems of existence of limit cycles and their numbers are the most difficult problems in the dynamical planar systems. In this paper, we study the limit cycles for a family of polynomial differential systems of degree 6k + 1, k ∈ ℕ*, with the non ...
Sabah Benadouane +2 more
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Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models
Cubo, 2021 We prove that for certain polynomial differential equations in the plane arising from predator-prey type III models with generalized rational functional response, any algebraic solution should be a rational function. As a consequence, limit cycles, which
Homero G. Díaz-Marín, Osvaldo Osuna
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Self-oscillations in a certain Belousov–Zhabotinsky model [PDF]
MATEC Web of Conferences, 2022 We consider the dynamic properties of a system of three differential equations known as the oreganator model. This model depends on four external parameters and describes one of the periodic Belousov–Zhabotinsky reactions.
Kondratieva Liudmila, Romanov Aleksandr
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, 2023 In this paper, we study how many algebraic limit cycles have the discontinuous piecewise linear differential systems separated by a straight line, with polynomial first integrals on both sides.
Belén García +3 more
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Design and analysis of a synthetic prediction market using dynamic convex sets
Results in Control and Optimization, 2021 We present a synthetic prediction market whose agent purchase logic is defined using a sigmoid transformation of a convex semi-algebraic set defined in feature space. Asset prices are determined by a logarithmic scoring market rule.
Nishanth Nakshatri +4 more
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Quadratic Planar Differential Systems with Algebraic Limit Cycles via Quadratic Plane Cremona Maps [PDF]
, 2019 In this paper we show how we can transform quadratic systems into new quadratic systems after some kind of birational transformations, the quadratic plane Cremona maps.
Maria Alberich-Carramiñana +2 more
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The classification of limits of 2n-cycle algebras
Indiana University Mathematics Journal, 1999 We obtain a complete classification of the locally finite algebras and the operator algebras, given as algebraic inductive limits and Banach algebraic inductive limits respectively, of direct systems: A_1 contained in A_2 contained in A_3 and so on. Here the A_k are 2n-cycle algebras, where n is at least 3 and the inclusions are of rigid type.
Donsig, Allan P., Power, S. C.
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Sharp Bound of the Number of Zeros for a Liénard System with a Heteroclinic Loop
Discrete Dynamics in Nature and Society, 2021 In the presented paper, the Abelian integral Ih of a Liénard system is investigated, with a heteroclinic loop passing through a nilpotent saddle. By using a new algebraic criterion, we try to find the least upper bound of the number of limit cycles ...
Junning Cai, Minzhi Wei, Guoping Pang
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On the birth and death of algebraic limit cycles in quadratic differential systems
European journal of applied mathematics, 2020 In 1958 started the study of the families of algebraic limit cycles in the class of planar quadratic polynomial differential systems. In the present we known one family of algebraic limit cycles of degree 2 and four families of algebraic limit cycles of ...
J. Llibre +2 more
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A class of differential systems of even degree with exact non-algebraic limit cycles
, 2020 Up until now all the polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree odd. Here we show that already that there are polynomial systems of degree even has an explicit limit cycle which is not algebraic.
A. Kina, A. Berbache, A. Bendjeddou
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