The Sibirsky component of the center variety of polynomial differential systems.

DOI10.1016/S0747-7171(03)00016-6zbMath1035.34017arXivmath/0009061MaRDI QIDQ1404419

Abdul Salam Jarrah, Valery G. Romanovski, Reinhard C. Laubenbacher

Publication date: 21 August 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009061

zbMATH Keywords

center varietypolynomial differential systemsSibirsky subvariety

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Differential algebra (12H05) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to ordinary differential equations (34-00)

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Uses Software

• Macaulay2

Cites Work

• Local theory of nonlinear analytic ordinary differential equations
• The problem of center for resonant singular points of polynomial vector fields
• Algebraic properties of the Lyapunov and period constants
• Cubic vector fields symmetric with respect to a center
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• The centre and isochronicity problems for some cubic systems
• Algorithms in invariant theory
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