Impacto
Downloads
Downloads per month over past year
Romero Ruiz del Portal, Francisco and Graff, Grzegorz and NowakPrzygodzki, Piotr (2011) Local fixed point indices of iterations of planar maps. Journal of Dynamics and Differential Equations, 23 (1). pp. 213223. ISSN 10407294

PDF
200kB 
Official URL: http://www.springerlink.com/openurl.asp?genre=journalissn=10407294
Abstract
Let f : U →R2 be a continuous map, where U is an open
subset of R2. We consider a fixed point p of f which is neither a sink nor
a source and such that p is an isolated invariant set. Under these assumption
we prove, using Conley index methods and Nielsen theory, that the sequence of fixed point indices of iterations ind(fn, p) n=1 is periodic,bounded by 1, and has infinitely many nonpositive terms, which is a generalization of Le Calvez and Yoccoz theorem [Annals of Math., 146 (1997), 241293] onto the class of noninjective maps. We apply our result to study the dynamics of continuous maps on 2dimensional
sphere.
Item Type:  Article 

Uncontrolled Keywords:  Fixed point index; Conley index, Nielsen number; Periodic points; Iterations 
Subjects:  Sciences > Mathematics > Topology 
ID Code:  13994 
Deposited On:  07 Dec 2011 09:12 
Last Modified:  12 Dec 2018 15:13 
Origin of downloads
Repository Staff Only: item control page