Results 21 to 30 of about 280,795 (285)
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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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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Symmetry of Quadratic Homogeneous Differential Systems
, 2008 10 ...
Nadjafikhah, Mehdi +1 more
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On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity [PDF]
, 2017 Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013.Algebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, and few years later the following conjecture appeared ...
Llibre, Jaume, Valls, Clàudia
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The acyclicity of a quadratic differential system
Вестник Адыгейского государственного университета, серия «Естественно-математические и технические науки», 2021 Дан краткий обзор некоторых основных публикаций, посвященных исследованию вопроса о предельных циклах и сепаратрисах квадратичных дифференциальных систем. Рассмотрено наличие замкнутых траекторий для определенного класса автономных квадратичных систем на плоскости.
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Rigid Polynomial Differential Systems with Homogeneous Nonlinearities
MathematicsPlanar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
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Quadratic systems with two invariant real straight lines and an invariant parabola
Electronic Journal of Qualitative Theory of Differential EquationsAfter the linear differential systems in the plane the easiest ones are the quadratic polynomial differential systems. Due to their nonlinearity and also to their many applications these systems have been studied by many authors. Let QS denote the set of
Jaume Llibre, Huaxin Ou
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Global Analysis of Riccati Quadratic Differential Systems
International Journal of Bifurcation and ChaosIn this paper, we study the family of quadratic Riccati differential systems. Our goal is to obtain the complete topological classification of this family on the Poincaré disk compactification of the plane. The family was partially studied before but never from a truly global viewpoint.
Artes, J.C. +3 more
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Position Dependent Mass Approach and Quantization for a Torus Lagrangian
, 2016 We have shown that a Lagrangian for a torus surface can yield second order nonlinear differential equations using the Euler-Lagrange formulation. It is seen that these second order nonlinear differential equations can be transformed into the nonlinear ...
Yesiltas, Ozlem
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Dissipative Time Evolution of Observables in Non-equilibrium Statistical Quantum Systems [PDF]
, 1998 We discuss differential-- versus integral--equation based methods describing out--of thermal equilibrium systems and emphasize the importance of a well defined reduction to statistical observables.
Nachbagauer, Herbert
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