Sobhy, Mohammed, Burman, Stuart (2000) The transition from solitons to chaos in the solution of the logistic equation. International Journal of Bifurcation and Chaos, 10 (12). pp. 2823-2829. ISSN 0218-1274. (doi:10.1142/s0218127400001821) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:16644)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: https://doi.org/10.1142/s0218127400001821 |
Abstract
The discrete logistic map was one of the first equations to be studied for the production of chaos. We shall show that a soliton solution exists for the differential logistic equation when the output is the derivative of the dependent variable rather than the variable itself. Furthermore, when the logistic equation is solved using Euler's forward algorithm a transition from a soliton solution to chaos exists and can be accurately predicted. The results are used directly to design an electronic soliton generator.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1142/s0218127400001821 |
| Subjects: |
Q Science Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts |
| Depositing User: | A. Xie |
| Date Deposited: | 22 Jun 2009 10:09 UTC |
| Last Modified: | 05 Nov 2024 09:51 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/16644 (The current URI for this page, for reference purposes) |
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):
Altmetric
Altmetric
