Back to Search
Start Over
Chaos induced by regular snap-back repellers
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2008, Vol. 337 Issue 2, p1480-1494. 15p. - Publication Year :
- 2008
-
Abstract
- Abstract: This paper is concerned with chaos induced by regular snap-back repellers. One new criterion of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces is established. By employing this criterion, the nondegenerateness assumption in the Marotto theorem established in 1978 is weakened. In addition, it is proved that a regular snap-back repeller and a regular homoclinic orbit to a regular expanding fixed point in finite-dimensional spaces imply chaos in the sense of Li–Yorke. An illustrative example is provided with computer simulations. [Copyright &y& Elsevier]
- Subjects :
- *SET theory
*COMPUTER simulation
*SIMULATION methods & models
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 337
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 26678481
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.05.005