Mean Flow from Phase Averages in the 2D Boussinesq Equations
Atmosphere, 2023 The atmosphere and ocean are described by highly oscillatory PDEs that challenge both our understanding of their dynamics and their numerical approximation.
Beth A. Wingate +2 more
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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
semanticscholar +1 more source
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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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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Calculating periodic orbits of the Hénon–Heiles system
Frontiers in Astronomy and Space Sciences, 2023 This work is divided to two parts; the first part analyzes the features of Hénon–Heiles’s potential and finding the energy levels for bounded and unbounded motions.
Sawsan Alhowaity +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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On the birth of limit cycles for non-smooth dynamical systems [PDF]
, 2014 The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov +31 more
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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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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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Scale Invariance and Self-averaging in disordered systems [PDF]
, 2003 In a previous paper we found that in the random field Ising model at zero temperature in three dimensions the correlation length is not self-averaging near the critical point and that the violation of self-averaging is maximal.
Dotsenko Vik. +6 more
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