Results 261 to 270 of about 471,373 (286)

Summing up the Dynamics of Quadratic Hamiltonian Systems With a Center

Canadian Journal of Mathematics, 1997
AbstractIn this work we study the global geometry of planar quadratic Hamiltonian systems with a center and we sum up the dynamics of these systems in geometrical terms. For this we use the algebro-geometric concept of multiplicity of intersection Ip(P,Q) of two complex projective curves P(x, y, z) = 0, Q(x,y,z) = 0 at a point p of the plane. This is a
Pal, Janos, Schlomiuk, Dana
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Limit Cycle Bifurcations from a Quadratic Center with Two Switching Lines

Qualitative Theory of Dynamical Systems, 2020
In this paper, the authors deal with limit cycle bifurcations for a differential system with two switching lines by using the Picard-Fuchs equation. The detailed expression of the corresponding first order Melnikov function which can be used to get the upper bound of the number of limit cycles is derived.
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On computing the center of a convex quadratically constrained set

Mathematical Programming, 1991
The authors presents an interior point method for finding an analytic center of a convex feasible region whose boundaries are defined by quadratic functions. The algorithm starts from an arbitrary initial point and approaches the desired center by simultaneously reducing infeasibility or slackness of all constraints.
Mehrotra, Sanjay, Sun, Jie
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Limit cycles bifurcated from a reversible quadratic center

Qualitative Theory of Dynamical Systems, 2005
The main result of the paper is that under quadratic perturbations the exact upper bound of the number of limit cycles produced by the period annulus of the system \[ \dot{z}=-iz(1+A\bar{z}) \] with a nonzero complex number \(A\) is two. It follows basically from a careful estimate of the number of zeros of the associate Abelian integrals.
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The Analytic Center Quadratic Cut Method for Strongly Monotone Variational Inequality Problems

SIAM Journal on Optimization, 2000
Summary: Convergence of an algorithm for strongly monotone variational inequality problems is investigated. At each iteration, the algorithm adds a quadratic cut through the analytic center of the consequently shrinking convex set. It is shown that the sequence of analytic centers converges to the unique solution in \(O(1/\sqrt{k})\), where \(k\) is ...
Lüthi, Hans-Jakob, Büeler, Benno
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A Polynomial Method of Weighted Centers for Convex Quadratic Programming

Journal of Information and Optimization Sciences, 1991
Abstract A generalization of the weighted central path-following method for convex quadratic programming is presented. This is done by uniting and modifying the main ideas of the weighted central path following method for linear programming and the interior point methods for convex quadratic programming.
D. den Hertog, B. Roos, T. Terlaky
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Cancer risk among World Trade Center rescue and recovery workers: A review

Ca-A Cancer Journal for Clinicians, 2022
Paolo Boffetta, Charles B Hall, Andrew C Todd   +2 more
exaly  

On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center

Chaos, Solitons and Fractals, 2022
Jaume Llibre
exaly  

Advancing survivorship care through the National Cancer Survivorship Resource Center

Ca-A Cancer Journal for Clinicians, 2013
Mandi L Pratt-Chapman, Anne Willis, Patricia A Ganz   +2 more
exaly  

Quadratic systems with center points

2007
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