A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS

Tusen HUANG;Qi ZHANG

系统科学与复杂性(英文) ›› 2007, Vol. 20 ›› Issue (3) : 461-469.

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系统科学与复杂性(英文) ›› 2007, Vol. 20 ›› Issue (3) : 461-469.
论文

A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS

    Tusen HUANG(1), Qi ZHANG(2)
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A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS

    Tusen HUANG(1), Qi ZHANG(2)
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摘要

A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in [Nonlinearity, 13 (2000), p.709].

Abstract

A computable expression of the asymptotic expansion of the return map for a degenerate singular point of a class of planar differential system is given, and hence the stability and the type of the singular point can be decided. These results generalize the corresponding results in [Nonlinearity, 13 (2000), p.709].

关键词

Isolated singular point / monodromy singular point / characteristic direction / return map / stability.

Key words

Isolated singular point / monodromy singular point / characteristic direction / return map / stability.

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Tusen HUANG , Qi ZHANG. A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS. 系统科学与复杂性(英文), 2007, 20(3): 461-469
Tusen HUANG , Qi ZHANG. A NOTE ON THE STABILITY OF A CLASS OF DEGENERATE PLANAR CRITICAL POINTS. Journal of Systems Science and Complexity, 2007, 20(3): 461-469
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