Random logistic maps and Lyapunov exponents
We prove that under certain basic regularity conditions, a random iteration of logistic maps converges to a random point attractor when the Lyapunov exponent is negative, and does not converge to a point when the Lyapunov exponent is positive.
Saved in:
| Published in: | Indagationes mathematicae Vol. 12; no. 4; pp. 557 - 584 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
17-12-2001
|
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We prove that under certain basic regularity conditions, a random iteration of logistic maps converges to a random point attractor when the Lyapunov exponent is negative, and does not converge to a point when the Lyapunov exponent is positive. |
|---|---|
| ISSN: | 0019-3577 1872-6100 |
| DOI: | 10.1016/S0019-3577(01)80042-2 |