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Fixed point indices of iterated smooth maps in arbitrary dimension

Abstract

We give a complete description of possible sequences ofindices of iterations of f at an isolated fixed point, answering inaffirmative the Chow, Mallet-Paret and Yorke conjecture posed in[S.N. Chow, J. Mallet-Parret, J.A. Yorke, A periodic point index whichis a bifurcation invariant, in: Geometric Dynamics, Rio de Janeiro,1981, in: Lecture Notes in Math., vol. 1007, Springer, Berlin, 1983,pp. 109-131].

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DOI:
Digital Object Identifier (open in new tab) 10.1016/j.jde.2011.05.024
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Copyright (2011 Elsevier Inc)

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
JOURNAL OF DIFFERENTIAL EQUATIONS no. 251,
ISSN: 0022-0396
Language:
English
Publication year:
2011
Bibliographic description:
Graff G., Jezierski J., Nowak-Przygodzki P.: Fixed point indices of iterated smooth maps in arbitrary dimension// JOURNAL OF DIFFERENTIAL EQUATIONS. -Vol. 251, nr. iss. 6 (2011),
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.jde.2011.05.024
Verified by:
Gdańsk University of Technology

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