Name
Title | ||
|---|---|---|
Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems |
Abstract | ||
|---|---|---|
In this paper, the non-standard finite difference method (for short NSFD) is implemented to study the dynamic behaviors in the fractional-order Rossler chaotic and hyperchaotic systems. The Grunwald-Letnikov method is used to approximate the fractional derivatives. We found that the lowest value to have chaos in this system is 2.1 and hyperchaos exists in the fractional-order Rossler system of order as low as 3.8. Numerical results show that the NSFD approach is easy to implement and accurate when applied to differential equations of fractional order. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.03.059 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
nsfd approach,differential equation,fractional order,hyperchaotic system,dynamic behavior,non-standard finite difference method,non-standard finite deference schemes,fractional derivative,non-standard finite difference scheme,chaos,fractional differential equations,fractional-order rossler system,rössler system,grunwald-letnikov method,short nsfd,finite difference method | Differential equation,Finite difference,Mathematical analysis,Finite difference coefficient,Fractional calculus,Finite difference method,Chaotic,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 3 | Computers and Mathematics with Applications |
Citations | PageRank | References |
4 | 0.92 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| K. Moaddy | 1 | 48 | 5.37 |
| Ishak Hashim | 2 | 75 | 16.70 |
| S. Momani | 3 | 116 | 10.68 |