Coupled-expanding maps under small perturbations
Related Research Unit(s)
|Journal / Publication||Discrete and Continuous Dynamical Systems|
|Publication status||Published - Mar 2011|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-79954464489&origin=recordpage|
This paper studies the C1-perturbation problem of strictly A-coupled-expanding maps in finite-dimensional Euclidean spaces, where A is an irreducible transition matrix with one row-sum no less than 2. It is proved that under certain conditions strictly A-coupled-expanding maps are chaotic in the sense of Li-Yorke or Devaney under small C1-perturbations. It is shown that strictly A-coupled-expanding maps are C1 structurally stable in their chaotic invariant sets under certain stronger conditions. One illustrative example is provided with computer simulations.
- Chaos, Coupled-expanding, Perturbation, Structural stability