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.
Amina Feddaoui, J. Llibre, A. Makhlouf
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On the torus bifurcation in averaging theory [PDF]
Journal of Differential Equations, 2018 In this paper, we take advantage of the averaging theory to investigate a torus bifurcation in two-parameter families of 2D nonautonomous differential equations.
M. R. Cândido, D. Novaes
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Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory
Nonautonomous Dynamical Systems, 2023 In this article, we provide sufficient conditions for the existence of periodic solutions for the polynomial differential system of the form x˙=−y+εP1(x,y,z,u,v)+h1(t),y˙=x+εP2(x,y,z,u,v)+h2(t),z˙=−u+εP3(x,y,z,u,v)+h3(t),u˙=z+εP4(x,y,z,u,v)+h4(t),v˙=λv ...
Tabet Achref Eddine, Makhlouf Amar
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Limit cycles in piecewise smooth perturbations of a class of cubic differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we study the bifurcation of limit cycles from a class of cubic integrable non-Hamiltonian systems under arbitrarily small piecewise smooth perturbations of degree $n$.
Dan Sun, Yunfei Gao, Linping Peng, Li Fu
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WASPAS method and Aczel-Alsina aggregation operators for managing complex interval-valued intuitionistic fuzzy information and their applications in decision-making [PDF]
PeerJ Computer Science, 2023 Aczel-Alsina t-norm and t-conorm are a valuable and feasible technique to manage ambiguous and inconsistent information because of their dominant characteristics of broad parameter values.
Haojun Fang +4 more
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On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
Mathematics, 2020 Here we study 3-dimensional Lotka–Volterra systems. It is known that some of these differential systems can have at least four periodic orbits bifurcating from one of their equilibrium points.
Maoan Han, Jaume Llibre, Yun Tian
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Mathematics, 2021 Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem.
Santolo Meo, Luisa Toscano
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Limit cycles of Liénard polynomial systems type by averaging method
Moroccan Journal of Pure and Applied Analysis, 2020 We apply the averaging theory of first and second order for studying the limit cycles of generalized polynomial Linard systems of the ...
Boulfoul Amel, Mellahi Nawal
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Ensemble average theory of gravity [PDF]
Physical Review D, 2016 6 pages, typos corrected, comments are welcome, replaced with published ...
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On the limit cycles for a class of eighth-order differential equations
Moroccan Journal of Pure and Applied Analysis, 2020 In this article, we provide sufficient conditions for the existence of periodic solutions of the eighth-order differential equation x(8)-(1+p2+λ2+μ2)x(6)+Ax⃜+Bx¨+p2λ2μ2x=ɛF(t,x,x˙,x¨,x⃛,x⃜,x(5),x(6)x(7)),{x^{\left( 8 \right)}} - \left( {1 + {p^2 ...
Berrehail Chems Eddine +2 more
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