Abstract
The dynamics of fractional-order systems have attracted increasing attentions in recent years. In this paper, we numerically study the chaotic behaviors in the fractional-order Rössler equations. We found that chaotic behaviors exist in the fractional-order Rössler equation with orders less than 3, and hyperchaos exists in the fractional-order Rössler hyperchaotic equation with order less than 4. The lowest orders we found for chaos and hyperchaos to exist in such systems are 2.4 and 3.8, respectively. Period doubling routes to chaos in the fractional-order Rössler equation are also found. © 2004 Elsevier B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 55-61 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 341 |
| Issue number | 1-4 |
| DOIs | |
| Publication status | Published - 1 Oct 2004 |
Research Keywords
- Chaos
- Fractional order
- Hyperchaos
- Rössler equation
Fingerprint
Dive into the research topics of 'Chaos and hyperchaos in the fractional-order Rössler equations'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver