Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems [PDF]
Qualitative Theory of Dynamical Systems, 2014 Agraïments: FEDER-UNAB10-4E-378. The first and second author are supported by CAPES-MECD grant PHB-2009-0025-PC. The third author is supported by FAPESP-2010/17956-1. We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers x˙ = y(−1 + 2αx + 2βx2), y˙ = x + α(y2 − x2) +
Llibre, Jaume +2 more
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Partial Differential Equations in Applied MathematicsThis 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 +3 more
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On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems [PDF]
Pacific Journal of Mathematics, 2021 We study the kind of centers that Hamiltonian Kolmogorov cubic polynomial differential systems can exhibit. Moreover, we analyze the possible configurations of these centers with respect to the invariant coordinate axes, and obtain that the real algebraic curve xy(a+bx+cy+dx2+exy+fy2)=h has at most four families of level ovals in R2 for all real ...
Llibre, Jaume, Xiao, Dongmei
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Numerical Scheme based on Non-polynomial Spline Functions for the System of Second Order Boundary Value Problems arising in Various Engineering Applications [PDF]
Journal of Applied and Computational Mechanics, 2022 Several applications of computational science and engineering, including population dynamics, optimal control, and physics, reduce to the study of a system of second-order boundary value problems.
Anju Chaurasia +2 more
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Cubic splines solutions of the higher order boundary value problems arise in sandwich panel theory
Results in Physics, 2022 An inventive strategy is bestowed here to acquire the numeral roots of nonlinear boundary value problems(BVPs) of 14th-order utilizing cubic splines. Two cubic splines; Polynomial and non-polynomial, are exploited to find out the solutions of nonlinear ...
Aasma Khalid +5 more
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Mathematical analysis for classical Chua's circuit with two nonlinear resistors [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 We formulate a mathematical model for the classical Chua’s circuit with two nonlinear resistors in terms of a system of nonlinear ordinary differential equations.
Natchaphon Limphodaen +1 more
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Results in Physics, 2023 In this paper, the cubic–quartic complex Ginzburg–Landau (CGL) equation is investigated by using the trial function method. The traveling wave hypothesis is applied to convert the CGL equation to an ordinary differential equation (ODE), which is ...
Chen Peng, Zhao Li
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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
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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
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4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory [PDF]
International Journal of Dynamical Systems and Differential Equations, 2020 The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.
Feddaoui, Amina +2 more
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