Results 21 to 30 of about 2,196,572 (258)
Algebraic limit cycles of planar cubic systems
Sibirskie Elektronnye Matematicheskie Izvestiya, 2020 Algebraic limit cycles of differential systems of the form \[\dot{x}=x+P_3(x,y),\quad \dot{y}=y+Q_3(x,y), \] where \(P_3(x,y)\) and \(Q_3(x,y)\) are homogeneous cubic polynomials, are studied. Note that the results of Theorem 1 were obtained much earlier in the monograph [\textit{V. N. Gorbuzov} and \textit{A. A.
Volokitin, E. P., Cheresiz, V. M.
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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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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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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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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 [PDF]
, 2021 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 ...
Oliveira, Regilene +2 more
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Limit cycles in a digitally controlled buck converter [PDF]
, 2011 European Conference on Circuit Theory and Design (ECCTD), Linkoping, Sweden, 29-31 Aug. 2011We describe the mathematical model of a digitally controlled buck converter.
Bradley, Mark +5 more
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Global bifurcation analysis of a rational Holling system [PDF]
Компьютерные исследования и моделирование, 2017 In this paper, we consider a quartic family of planar vector fields corresponding to a rational Holling system which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system and which is a variation on
Valery Aleksandrovich Gaiko
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Explicit limit cycles of a class of Kolmogorov system
Universal Journal of Mathematics and Applications, 2018 A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them explicit
Salah Benyoucef, Ahmed Bendjeddou
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