The Sibirsky component of the center variety of polynomial differential systems

Abdul Salam Jarrah; Reinhard Laubenbacher; Valery Romanovski

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The Sibirsky component of the center variety of polynomial differential systems

机译：多项式微分系统中心变量的Sibirsky分量

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摘要

We investigate a component of the center variety of polynomial differential systems that includes all time-reversible systems. We give a general algorithm to find this irreducible subvariety and compute its dimension.

机译：我们研究了包括所有时间可逆系统在内的多项式微分系统中心变量的一个组成部分。我们给出了一种通用算法来查找该不可约子变量并计算其维数。

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来源
《urnal of Symbolic Computation》 |2003年第5期|p.577-589|共13页
作者
Abdul Salam Jarrah; Reinhard Laubenbacher; Valery Romanovski;
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作者单位

Department of Mathematics, East Tennessee State University, Johnson City, TN 37614, USA;

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正文语种 eng
中图分类计算技术、计算机技术;
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4. Centers and limit cycles in polynomial systems of ordinary differential equations [C] . Valery G. Romanovski, Douglas S. Shafer School on Real and Complex Singularities . 2016

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5. The center and cyclicity problems in a family of three dimensional polynomial systems of ordinary differential equations. [D] . Hounkanli, Kokouvi. 2013

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6. On the Intersections of Irreducible Components in the Manifold of a Differential Polynomial [O] . J. F. Ritt 1940

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7. The Sibirsky component of the center variety of polynomial differential systems [O] . Jarrah Abdul Salam, Laubenbacher Reinhard, Romanovski Valery 2003

机译：多项式微分系统中心变量的Sibirsky分量
8. Co-Existence of Centers and Limit Cycles in Polynomial Systems [R] . Kooij, R. E., Zegeling, A. 1996

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The Sibirsky component of the center variety of polynomial differential systems

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