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On quadratic differential systems with equal reflecting functions
Differential Equations, 2013For a two-dimensional quadratic system, we obtain necessary conditions for the existence of a triangular quadratic system with the same Mironenko reflecting function as the original system. We suggest an algorithm that permits establishing the coincidence of the reflecting functions of a quadratic nonstationary system and some stationary system.
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On the relationship between quadratic polynomial differential system and the Bernoulli equation
Applied Mathematics and Computation, 2011In this article, we have established a relationship between a quadratic polynomial differential system and a Bernoulli equation by using the method of reflective function. And applied the results to discuss the qualitative behavior of solutions of this quadratic polynomial differential system.
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Systems of quadratic exterior differential equations
Siberian Mathematical Journal, 1971Vasenin, V. V., Shcherbakov, R. N.
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Exactly Solvable Quadratic Differential Equation Systems Through Generalized Inversion
Qualitative Theory of Dynamical Systems, 2023Ádám Bácsi
exaly
Limit cycles for discontinuous quadratic differential systems with two zones
Journal of Mathematical Analysis and Applications, 2014Ana Mereu, Jaume Llibre
exaly
On Quadratic Differential Forms
SIAM Journal on Control and Optimization, 1998H L Trentelman, J C Willems
exaly
The Open-Loop Linear Quadratic Differential Game for index one Descriptor Systems
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2008Jacob Christiaan Engwerda
exaly