Results 261 to 270 of about 235,061 (287)

Nondegenerate and Nilpotent Centers for a Cubic System of Differential Equations

Qualitative Theory of Dynamical Systems, 2018
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Antonio Algaba, Cristóbal García, Jaume Giné   +2 more
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First Integrals of a Cubic System of Differential Equations

AIP Conference Proceedings, 2008
We study polynomial systems of differential equations of the form ẋ = x+p(x,y), ẏ = −3y+q(x,y), (1) where p(x,y) and q(x,y) are homogeneous polynomials of degree three. In [1] the linearizability problem for this system has been studied. In many cases considered in [1] the construction of linearizing transformations requires knowledge of first ...
Zhibek Kadyrsizova, Valery G. Romanovski, Marko Robnik, Valery Romanovski   +3 more
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CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH AN INVARIANT CONIC

Bukovinian Mathematical Journal, 2022
We find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one irreducible invariant conic. The presence of a center at O(0, 0) is proved by constructing integrating factors.
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Reversible Limit Cycles for Linear Plus Cubic Homogeneous Polynomial Differential System

Qualitative Theory of Dynamical Systems
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Wang, Luping, Zhao, Yulin
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The periodic solutions of a class of cubic delay differential system

Acta Mathematicae Applicatae Sinica, 1995
A polynomial differential system (1) \(x'(t) = P(x(t), x(t - s), y(t), y(t - s))\), \(x'(t) = R(x(t), x(t - s), y(t), y(t - s))\), in which \(P(x,x,y,y) = - y (\mu + bx^2 + cy^2)\), \(\lambda > 0\), \(\mu > 0\), \(R(x,x,y,y) = x (\lambda + ax^2 + by^2)\), \(ac > 0\), \(s > 0\), is considered.
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Classifications of two-dimensional homogeneous cubic differential equation systems. II

1981
The present paper is a continuation of a previous one [ibid. 16, No.2, 19-62 (1980; Zbl 0483.58013)] on the same subject. The problem considered here is the algebraic classification of homogeneous cubic differential equations with non-isolated critical points.
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Configuration of planar Kolmogorov cubic polynomial differential systems with the most centers

Discrete and Continuous Dynamical Systems - B
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He, Hongjin, Liu, Changjian, Xiao, Dongmei   +2 more
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Deformation twinning in body-centered cubic metals and alloys

Progress in Materials Science, 2023
Xiyao Li, Jiangwei Wang
exaly  

Tracking cubic ice at molecular resolution

Nature, 2023
Lifen Wang, Keyang Liu, Jianlin Wang
exaly  

Cubic ice Ic without stacking defects obtained from ice XVII

Nature Materials, 2020
Leonardo del Rosso, Milva Celli, Francesco Grazzi   +2 more
exaly