Results 31 to 40 of about 3,260 (131)

Explicit limit cycles of a family of polynomial differential systems

Electronic Journal of Differential Equations, 2017
We consider the family of polynomial differential systems $$\displaylines{ x' = x+( \alpha y-\beta x) (ax^2-bxy+ay^2) ^{n}, \cr y' = y-( \beta y+\alpha x) (ax^2-bxy+ay^2) ^{n}, }$$ where a, b, $\alpha $, $\beta $ are real constants and n is ...
Rachid Boukoucha
doaj  

The Cubic Polynomial Differential Systems with two Circles as Algebraic Limit Cycles [PDF]

Advanced Nonlinear Studies, 2017
Abstract In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
Jaume Giné, Jaume Llibre, Claudia Valls
openaire   +4 more sources

Infinitely Many Hidden Attractors in a Simple Six-Term Chaotic 2-torus Snap System with a Line of Equilibria

مجلة بغداد للعلوم
Chaotic systems with simple structures and controllable dynamics are highly desirable for practical applications, including secure communications, signal processing, and nonlinear control.
Sarbast Hussein Mikaeel, Irfan Ahmad, Rizgar H. Salih   +2 more
doaj   +1 more source

Limit cycles and invariant algebraic curves

Communications on Pure and Applied Analysis
We give lower bounds in terms of~$n,$ for the number of limit cycles of polynomial vector fields of degree~$n,$ having any prescribed invariant algebraic curve. By applying them when the ovals of this curve are also algebraic limit cycles we obtain a new recurrent property for the Hilbert numbers. Finally, we apply our results to two important families
Gasull, Armengol, Santana, Paulo
openaire   +2 more sources

Algebraic approximations to bifurcation curves of limit cycles for the Liénard equation

Physics Letters A, 1998
In this paper, we study the bifurcation of limit cycles in Lienard systems of the form dot(x)=y-F(x), dot(y)=-x, where F(x) is an odd polynomial that contains, in general, several free parameters. By using a method introduced in a previous paper, we obtain a sequence of algebraic approximations to the bifurcation sets, in the parameter space.
Giacomini, Hector, Neukirch, Sébastien
openaire   +4 more sources

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
openaire   +3 more sources

Polynomial differential systems with explicit non-algebraic limit cycles

Electronic Journal of Differential Equations, 2012
Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit ...
Rebiha Benterki, Jaume Llibre
doaj  

Darboux integrability and algebraic limit cycles for a class of polynomial differential systems [PDF]

Science China Mathematics, 2014
This paper deals with the existence of Darboux first integrals for the planar polynomial differential systems ˙x = λx - y + Pn+1(x, y) + xF2n(x, y), ˙y = x + λy + Qn+1(x, y)+yF2n(x, y), where Pi(x, y), Qi(x, y) and Fi(x, y) are homogeneous polynomials of degree i.
Cao, Jinlong, Llibre, Jaume, Zhang, Xiang   +2 more
openaire   +2 more sources

Cubic and quartic planar differential systems with exact algebraic limit cycles

Electronic Journal of Differential Equations, 2011
We construct cubic and quartic polynomial planar differential systems with exact limit cycles that are ovals of algebraic real curves of degree four. The result obtained for the cubic case generalizes a proposition of [9].
Ahmed Bendjeddou, Rachid Cheurfa
doaj  

Tropical Modeling of Battery Swapping and Charging Station

Mathematics
We propose and investigate a queueing model of a battery swapping and charging station (BSCS) for electric vehicles (EVs). A new approach to the analysis of the queueing model is developed, which combines the representation of the model as a stochastic ...
Nikolai Krivulin, Akhil Garg
doaj   +1 more source