Planar chemical reaction systems with algebraic and non-algebraic limit cycles [PDF]
Journal of Mathematical BiologyAbstract The Hilbert number H(n) is defined as the maximum number of limit cycles of a planar autonomous system of ordinary differential equations (ODEs) with right-hand sides containing polynomials of degree at most $$n \in {{\mathbb {N}}}$$ n
Craciun, G, Erban, R
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A Class of Quintic Kolmogorov Systems with Explicit Non-algebraic Limit Cycle [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Various physical, ecological, economic, etc phenomena are governed by planar differential systems. Sub- sequently, several research studies are interested in the study of limit cycles because of their interest in the understanding of these systems. The aim of this paper is to investigate a class of quintic Kolmogorov systems, namely systems of the form
Bendjeddou, Ahmed, Grazem, Mohamed
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A class of differential systems of even degree with exact non-algebraic limit cycles [PDF]
Studia Universitatis Babes-Bolyai Matematica, 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. To our knowledge, there are no such type of examples in the literature.
Abdelkrim Kina +2 more
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Explicit Non Algebraic Limit Cycle for a Discontinuous Piecewise Differential Systems Separated by One Straight Line and Formed by Linear Center and Linear System Without Equilibria [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In this paper, we deal with the discontinuous piecewise differential linear systems formed by two differential systems separated by a straight line when one of these two differential systems is a linear without equilibria and the other is a linear center.
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A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
, 2007 A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +3 more
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Contributions to the essential dimension of finite and algebraic groups [PDF]
, 2010 Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
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Features and Fluents for Logic Programming: Non-simulative Algebraic Semantics [PDF]
, 2013 A Non-simulative Algebraic Semantics is defined and its range of applicability is proven to be the K-RACi class of the Features and Fluents framework.
Brandano, Sergio
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Algebraic entropy for algebraic maps [PDF]
, 2015 We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W. +4 more
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Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Order preserving limits of finite-dimensional nest algebras. [PDF]
, 2002 We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determined, in terms of order indecomposable decompositions, and they are shown ...
Hopenwasser, Alan, Power, Stephen C.
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