Results 11 to 20 of about 178 (161)
On the discretization of Darboux Integrable Systems [PDF]
Journal of Nonlinear Mathematical Physics, 2020 We study the discretization of Darboux integrable systems. The discretization is done using $x$-, $y$-integrals of the considered continuous systems. New examples of semi-discrete Darboux integrable systems are obtained.
Zheltukhin, K., Zheltukhina, Natalya
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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Darboux integrability of a hyperjerk memristive system
Zanco Journal of Pure and Applied Sciences, 2023 In this work, we investigate the following novel four-dimensional dynamical memristive system (see, (Prousalis et al., 2017)) This system, in a certain area of the parameter space, exhibits hyper-jerk dynamics and a line of singularities passing ...
Niazy Hady Hussein ,Soran Mohammed Khudur
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On integrability and cyclicity of cubic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we study the integrability of a few families of the complex cubic system. We have obtained necessary and sufficient conditions for existence of a local analytic first integral.
Maša Dukarić
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Darboux Integrability of a Generalized 3D Chaotic Sprott ET9 System
مجلة بغداد للعلوم, 2022 In this paper, the first integrals of Darboux type of the generalized Sprott ET9 chaotic system will be studied. This study showed that the system has no polynomial, rational, analytic and Darboux first integrals for any value of .
Adnan Ali Jalal +2 more
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Isometric embedding and Darboux integrability [PDF]
Geometriae Dedicata, 2019 Given a smooth 2-dimensional Riemannian or pseudo-Riemannian manifold $(M, \boldsymbol{g})$ and an ambient 3-dimensional Riemannian or pseudo-Riemannian manifold $(N, \boldsymbol{h})$, one can ask under what circumstances does the exterior differential system $\mathcal{I}$ for the isometric embedding $M\hookrightarrow N$ have particularly nice ...
J. N. Clelland +3 more
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A Generalization of an Integrability Theorem of Darboux [PDF]
The Journal of Geometric Analysis, 2018 21 pages, 2 ...
Michael Benfield +2 more
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Geometry and integrability of quadratic systems with invariant hyperbolas
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira +2 more
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On Darboux-integrable semi-discrete chains [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 19 ...
Habibullin I. +2 more
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't Hooft lines of ADE-type and topological quivers
SciPost Physics, 2023 We investigate 4D Chern-Simons theory with ADE gauge symmetries in the presence of interacting Wilson and 't Hooft line defects. We analyse the intrinsic properties of these lines' coupling and explicate the building of oscillator-type Lax matrices ...
Youssra Boujakhrout, El Hassan Saidi, Rachid Ahl Laamara, Lalla Btissam Drissi
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