双接触等价下分歧问题对的有限决定性

Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (5): 1951-1961.

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The Finite Determinacy for Pair of Bifurcation Problems Under Bi-Contact Equivalence

Suhui Liu()

Department of Mathematics and Big Data, School of Artificial Intelligence, Jianghan University, Wuhan 430056

Received:2025-01-20 Revised:2026-02-06 Online:2026-10-26 Published:2026-09-07
Supported by:
NSFC(10671009);NSFC(60534080)

Abstract

Abstract:

In this paper, bi-contact equivalence about pairs of bifurcation problems is introduced by singularity-theoretic techniques. A sufficient and necessary condition for bi-contact equivalence between two pairs of bifurcation problems is given. Some criteria about bi-contact finite determination of pair of bifurcation problems are then obtained in terms of an algebraic condition.

Key words: bi-contact equivalence, bi-contact finite determinacy, tangent space, module

CLC Number:

O189.3

Suhui Liu. The Finite Determinacy for Pair of Bifurcation Problems Under Bi-Contact Equivalence[J].Acta mathematica scientia,Series A, 2026, 46(5): 1951-1961.

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References 8

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The Finite Determinacy for Pair of Bifurcation Problems Under Bi-Contact Equivalence

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