Results 261 to 270 of about 17,601,941 (298)
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QUADRATIC PERTURBATIONS OF A CLASS OF QUADRATIC REVERSIBLE LOTKA–VOLTERRA SYSTEMS
International Journal of Bifurcation and Chaos, 2013This paper is concerned with the bifurcation of limit cycles of a class of quadratic reversible Lotka–Volterra system [Formula: see text] with b = -1/3. By using the Chebyshev criterion to study the number of zeros of Abelian integrals, we prove that this system has at most two limit cycles produced from the period annulus around the center under ...
Yi Shao, A. Chunxiang
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Error Bounds for Quadratic Systems
2000In this paper we consider the problem of estimating the distance from a given point to the solution set of a quadratic inequality system. We show, among other things, that a local error bound of order 1/2 holds for a system defined by linear inequalities and a single (nonconvex) quadratic equality.
Luo, Z-Q, Sturm, J.F.
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A RIKITAKE TYPE SYSTEM WITH QUADRATIC CONTROL
International Journal of Bifurcation and Chaos, 2012A Rikitake type system with quadratic control having a negative tuning parameter is considered and some of the geometrical and dynamical properties are analyzed.
Cristian Lazureanu, Tudor Bînzar
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Deformations of quadratic Diophantine systems
Izvestiya: Mathematics, 2001Consider the matrix equation \(Q[X] = {^tX}QX = A\), where \(Q\) and \(A\) are positive definite symmetric integral matrices of order \(n\) and \(m\), respectively, and \(X\) ranges over the set of \(n\times m\) integer matrices. The author studies the relationship between solutions to this equation and corresponding equations \(K'[Y]=A''\) obtained by
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Proceedings., 33rd Annual Symposium on Foundations of Computer Science, 1992
The paper promotes the study of computational aspects, primarily the convergence rate, of nonlinear dynamical systems from a combinatorial perspective. The authors identify the class of symmetric quadratic systems. Such systems have been widely used to model phenomena in the natural sciences, and also provide an appropriate framework for the study of ...
Y. Rabinovich, A. Sinclair, A. Wigderson
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The paper promotes the study of computational aspects, primarily the convergence rate, of nonlinear dynamical systems from a combinatorial perspective. The authors identify the class of symmetric quadratic systems. Such systems have been widely used to model phenomena in the natural sciences, and also provide an appropriate framework for the study of ...
Y. Rabinovich, A. Sinclair, A. Wigderson
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OSCILLATIONS AND CHAOS IN SIMPLE QUADRATIC SYSTEMS
International Journal of Bifurcation and Chaos, 2008This paper is concerned with the study of third order quadratic and autonomous systems and the interest is oriented to the stable periodic oscillations. From the "jerk" equation model, the classes of minimal complexity presenting a Hopf bifurcation are derived and their local characterization is carried out by means of a suitable harmonic balance ...
INNOCENTI, GIACOMO +2 more
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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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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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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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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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