Results 11 to 20 of about 6,937,403 (296)
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
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Demonstratio Mathematica, 2023 The classification of the phase portraits is one of the classical and difficult problems in the qualitative theory of polynomial differential systems in R2{{\mathbb{R}}}^{2}, particularly for quadratic systems.
Benterki Rebiha, Belfar Ahlam
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Mathematics, 2023 The main purpose of this paper is to study the dynamics and embedded solitons of stochastic quadratic and cubic nonlinear susceptibilities in the Itô sense, which can further help researchers understand the propagation of soliton nonlinear systems ...
Zhao Li, Chen Peng
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Deep learning-based classification of chaotic systems over phase portraits
Turkish J. Electr. Eng. Comput. Sci., 2023 : This study performed a deep learning-based classification of chaotic systems over their phase portraits. To the best of the authors’ knowledge, such classification studies over phase portraits have not been conducted in the literature.
S. Kaçar +2 more
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Phase portraits on the unit sphere of the stretch-twist-fold flow
Nonlinear Analysis, 2023 The so-called stretch-twist-fold flow consists in a Stokes flow depending on two parameters defined in a unit closed ball B that is associated with the motion of a fluid particle coming from the dynamo theory, and it models a mechanism for studying the ...
Jaume Llibre, Claudia Valls
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Symmetries in Phase Portrait [PDF]
Symmetry, 2020 We construct polynomial dynamical systems x ′ = P ( x ) with symmetries present in the local phase portrait. This point of view on symmetry yields the approaches to ODEs construction being amenable to classical methods of the Spectral Analysis.
Yakov Krasnov, Umbetkul K. Koylyshov
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Phase portraits and bifurcation diagram of the Gray-Scott model
, 2021 We give a complete classification of the phase portraits in the Poincar e ´ disk for the cubic polynomial systems x ˙ = 1 − x − a x y 2 , y ˙ = − b y + a x y 2 , in R 2 according with the values of its two parameters a and b.
Ting Chen, Shimin Li, J. Llibre
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Alexandria Engineering Journal, 2023 The bifurcation phase portraits and exact nonlinear wave solutions of the modified Konopelchenko-Dubrovsky (KD) equation are studied by using the bifurcation method.
Ming Song, Shenhui Wu
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Fractal and Fractional, 2023 This paper studies the bifurcations of the exact solutions for the time–space fractional complex Ginzburg–Landau equation with parabolic law nonlinearity.
Wenjing Zhu +3 more
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Frontiers in Energy Research, 2021 The chief aim of the proposed paper is to compare the behavior of supply voltage registered onboard three vessels equipped with high power converters during normal operation.
Tomasz Tarasiuk +5 more
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