Results 1 to 10 of about 59,907 (228)

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

Advanced Nonlinear Studies, 2018
In this paper we characterize all cubic polynomial differential systems in the plane having two circles as invariant algebraic limit cycles.
Giné Jaume, Llibre Jaume, Valls Claudia
doaj   +13 more sources

First Integrals and Phase Portraits of Planar Polynomial Differential Cubic Systems with the Maximum Number of Invariant Straight Lines [PDF]

Qualitative Theory of Dynamical Systems, 2016
In the article LliVul2006 the family of cubic polynomial differential systems possessing invariant straight lines of total multiplicity 9 was considered and 23 such classes of systems were detected.
Cristina Bujac, Jaume Llibre, Nicolae Vulpe   +2 more
core   +14 more sources

Affine invariant conditions for a class of differential polynomial cubic systems

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In this article the affine invariant criteria constructed in terms of algebraic polynomials with coefficients $\tilde a \in \mathcal R^{20}$ for a class of cubic systems are established.
Cristina Bujac
doaj   +5 more sources

On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems

Electronic Journal of Qualitative Theory of Differential Equations, 2020
This paper presents new results on the bifurcation of medium and small limit cycles from the periodic orbits surrounding a cubic center or from the cubic center that have a rational first integral of degree 2 respectively, when they are perturbed inside ...
Bo Huang
doaj   +4 more sources

Qualitative analysis of polynomial differential systems with the line at infinity of maximal multiplicity: exploring linear, quadratic, cubic, quartic, and quintic cases

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
This article investigates the phase portraits of polynomial differential systems with maximal multiplicity at the line at infinity. The study explores theoretical foundations, including algebraic multiplicity definitions, to establish the groundwork for
Vadim Repeșco
doaj   +5 more sources

First integrals and phase portraits of planar polynomial differential cubic systems with invariant straight lines of total multiplicity eight

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In the article [C. Bujac, J. Llibre, N. Vulpe, Qual. Theory Dyn. Syst. 15(2016), 327–348] for the family of cubic differential systems with the maximum number of invariant straight lines, i.e.
Cristina Bujac, Nicolae Vulpe
doaj   +4 more sources

Limit cycles of septic polynomial differential systems bifurcating from the periodic annulus of cubic center

Partial Differential Equations in Applied Mathematics
This paper focuses on investigating the maximum number of limit cycles bifurcating from the periodic orbits adapted to the cubic system given by ẋ=y−yx+a2,ẏ=−x+xx+a2,where a is a positive number with a≠1.
Imane Zemmouri, Amor Menaceur, Abdelhamid Laouar, Salah Boulaaras   +3 more
doaj   +3 more sources

Fifteen Limit Cycles Bifurcating from a Perturbed Cubic Center

Discrete Dynamics in Nature and Society, 2021
In this work, we study the bifurcation of limit cycles from the period annulus surrounding the origin of a class of cubic polynomial differential systems; when they are perturbed inside the class of all polynomial differential systems of degree six, we ...
Amor Menaceur, Mufda Alrawashdeh, Sahar Ahmed Idris, Hala Abd-Elmageed   +3 more
doaj   +1 more source

Darboux and rational first integrals for a family of cubic three dimensional systems

Zanco Journal of Pure and Applied Sciences, 2021
In this paper, we investigate the first integrals of the following system exam.PNG exam1.PNG This kind of system is a particular case of the jerk cubic three dimensional polynomial differential systems.
Sarbast Hussein Mikaeel, Azad I. Amen
doaj   +1 more source

Heat and mass transfer characteristics in MHD Casson fluid flow over a cylinder in a wavy channel: Higher-order FEM computations

Case Studies in Thermal Engineering, 2023
In this paper, an extensive analysis of heat and mass transfer characteristics of a Casson fluid flow past a cylinder in a wavy channel has been performed.
Afraz Hussain Majeed, Rashid Mahmood, Hasan Shahzad, Amjad Ali Pasha, Z.A. Raizah, Hany A. Hosham, D. Siva Krishna Reddy, Muhammad Bilal Hafeez   +7 more
doaj   +1 more source