Title

Dynamics and Indecomposable Inverse Limit Spaces of Maps on Finite Graphs

Abstract

If ƒ is a map of a finite tree T having a dense orbit, then ƒ is chaotic. Also, if ƒ has a dense orbit, or a homoclinic orbit, or a periodic point of certain prescribed period, depending on the geometry of T, then the inverse limit space, (T,ƒ), having ƒ as its sole bonding map, contains indecomposable subcontinua. Finally, if X is a finite graph and ƒ has a set of periodic points of certain prescribed periods, depending on the geometry of X, then (X,ƒ) contains indecomposable subcontinua.

Department(s)

Mathematics and Statistics

Keywords and Phrases

inverse limit space; indecomposable continuum; periodic point; homoclinic orbit; finite tree; finite graph; chaos

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1993 Elsevier, All rights reserved.

Share

 
COinS