On perturbation of continuous maps

Maria Carbinatto

Banach Center Publications (1999)

  • Volume: 47, Issue: 1, page 79-90
  • ISSN: 0137-6934

Abstract

top
In [1], the concept of singular isolating neighborhoods for a continuous family of continuous maps was presented. The work was based on Conley's result for a continuous family of continuous flows (cf. [2]). In this note, we study a particular family of continuous maps to illustrate the results in [1].

How to cite

top

Carbinatto, Maria. "On perturbation of continuous maps." Banach Center Publications 47.1 (1999): 79-90. <http://eudml.org/doc/208944>.

@article{Carbinatto1999,
abstract = {In [1], the concept of singular isolating neighborhoods for a continuous family of continuous maps was presented. The work was based on Conley's result for a continuous family of continuous flows (cf. [2]). In this note, we study a particular family of continuous maps to illustrate the results in [1].},
author = {Carbinatto, Maria},
journal = {Banach Center Publications},
keywords = {singular isolating neighborhood; Conley index; logistic map},
language = {eng},
number = {1},
pages = {79-90},
title = {On perturbation of continuous maps},
url = {http://eudml.org/doc/208944},
volume = {47},
year = {1999},
}

TY - JOUR
AU - Carbinatto, Maria
TI - On perturbation of continuous maps
JO - Banach Center Publications
PY - 1999
VL - 47
IS - 1
SP - 79
EP - 90
AB - In [1], the concept of singular isolating neighborhoods for a continuous family of continuous maps was presented. The work was based on Conley's result for a continuous family of continuous flows (cf. [2]). In this note, we study a particular family of continuous maps to illustrate the results in [1].
LA - eng
KW - singular isolating neighborhood; Conley index; logistic map
UR - http://eudml.org/doc/208944
ER -

References

top
  1. [1] M. Burke, M. C. Carbinatto and K. Mischaikow, Singular isolating neighborhoods for continuous maps, in preparation. 
  2. [2] C. Conley, A qualitative singular perturbation theorem, Global Theory of Dynamical Systems, eds. Z. Nitecki and C. Robinson, Lectures Notes in Math., 819, Springer-Verlag 1980, 65-89. 
  3. [3] C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Reg. Conf. Ser. in Math., 38, AMS, Providence, 1978. 
  4. [4] V. Hutson and K. Mischaikow, An approach to practical persistence, J. Math. Biol. 37 (1998), 447-466. Zbl0927.92030
  5. [5] K. Mischaikow, M. Mrozek, J. Reineck, Singular index pairs, J. Dyn. Diff. Eq., to appear. Zbl0943.34028
  6. [6] M. Mrozek, Leray functor and cohomological Conley index for discrete dynamical systems, Trans. AMS 318 (1990), 149-178. Zbl0686.58034
  7. [7] M. Mrozek and K. P. Rybakowski, A cohomological Conley index for maps on metric spaces, J. Differential Equations 89 (1991), 143-171. Zbl0721.58040
  8. [8] A. Szymczak, The Conley index for discrete semidynamical systems, Topology Appl. 66 (1996), 215-240. Zbl0840.34043

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.