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On cycles in quadratic systems
Вестник Адыгейского государственного университета, серия «Естественно-математические и технические науки», 2023Для 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, 2011A 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, 2002The 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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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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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, 1999K -E Arzen, A Rantzer
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Quadratic stability of a class of switched nonlinear systems
IEEE Transactions on Automatic Control, 2004Jun Zhao, G M Dimirovski
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Computation of piecewise quadratic Lyapunov functions for hybrid systems
IEEE Transactions on Automatic Control, 1998A Rantzer
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Randomized algorithms for quadratic stability of quantized sampled-data systems
Automatica, 2004Tamer Başar, Roberto Tempo
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Limit cycles for discontinuous quadratic differential systems with two zones
Journal of Mathematical Analysis and Applications, 2014Ana Mereu, Jaume Llibre
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