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On cycles in quadratic systems

Вестник Адыгейского государственного университета, серия «Естественно-математические и технические науки», 2023
Для квадратичной системы, имеющей четыре состояния равновесия в ограниченной части фазовой плоскости, найдены достаточные условия того, что предельные циклы окружают только одно антиседло (фокус). For a quadratic system with four equilibrium states in a limited ...
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On completeness of quadratic systems

Nonlinear Analysis: Theory, Methods & Applications, 2011
A non-autonomous differential equation \(y'=f(t,y)\), \(y\in{\mathbb R}^k\), is called complete if every solution exists for all \(t\in{\mathbb R}\). This paper studies the completeness of non-autonomous quadratic systems of the form \(y'=f_0(t)+f_1(t)y+f_2(t,y)\), \(y\in{\mathbb R}^k\), where \(f_0(t)\) is a column vector, \(f_1(t)\) is a \(k\times k\)
Gingold, Harry, Solomon, Daniel
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Quadratic Newton Iteration for Systems with Multiplicity

Foundations of Computational Mathematics, 2002
The author proposes an efficient iterator with quadratic convergence that generalizes Newton iterator for multiple roots. It is based on a \(m\)-adic topology where the ideal \(m\) can be chosen generic enough. Compared to the Newton iterator the proposed iterator introduces a small overhead that grows with the square of the multiplicity of the root.
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Quadratic control systems

26th IEEE Conference on Decision and Control, 1987
In this article, we are studying, in small dimension control properties of a specific class of nonlinear systems, which occurs for instance in the attitude control problem of a rigid spacecraft.
B. Bonnard, H. Tebbikh
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Piecewise quadratic stability of fuzzy systems

IEEE Transactions on Fuzzy Systems, 1999
K -E Arzen, A Rantzer
exaly  

Quadratic stability of a class of switched nonlinear systems

IEEE Transactions on Automatic Control, 2004
Jun Zhao, G M Dimirovski
exaly  

Computation of piecewise quadratic Lyapunov functions for hybrid systems

IEEE Transactions on Automatic Control, 1998
A Rantzer
exaly  

Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems

Communications in Nonlinear Science and Numerical Simulation, 2015
Javier Gallegos   +2 more
exaly  

Limit cycles for discontinuous quadratic differential systems with two zones

Journal of Mathematical Analysis and Applications, 2014
Ana Mereu, Jaume Llibre
exaly  

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