T-comitants and the Problem of a Center for Quadratic Differential Systems

1999/03/22 by A. M. Voldman, Voldman, A. M., Nicolae Vulpe +2
Computer Science · Mathematics · Physics and Astronomy · #13A50 #34C05 #Advanced Differential Equations and Dynamical Systems #Commutative Algebra (math.AC) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Control Systems and Analysis #Quantum chaos and dynamical systems #math.AC #math.DS #msc:13A50 #msc:34C05

paper · pdf · doi:10.48550/arxiv.math/9903125

38 pages, no figures

arxiv created 1999/03/22 · openalex publication_date 1999/03/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The new necessary and sufficient affine invariant conditions for the existence and for determining the number of centers for general quadratic system are pointed out. These conditions correspond to the partition of 12-dimensional coefficient space of indicated system with respect to the number and the multiplicity of its finite critical points.

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