Name
Abstract | ||
|---|---|---|
In this paper, we propose a guideline for plotting the bifurcation diagrams of chaotic systems. We discuss numerical and mathematical facts in order to obtain more accurate and more elegant bifurcation diagrams. The importance of transient time and the phenomena of critical slowing down are investigated. Some critical issues related to multistability are discussed. Finally, a solution for fast obtaining an accurate sketch of the bifurcation diagram is presented. The solution is based on running the system for only one sample in each parameter value and using the system's state in the previous value of the parameter as the initial condition. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1142/S0218127421500115 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Chaotic system, bifurcation diagram, numerical method, transient time, multistability | Journal | 31 |
Issue | ISSN | Citations |
1 | 0218-1274 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ali Jafari | 1 | 0 | 0.34 |
| Iqtadar Hussain | 2 | 3 | 6.46 |
| Fahimeh Nazarimehr | 3 | 0 | 0.34 |
| Seyed Mohammad Reza Hashemi Golpayegani | 4 | 0 | 0.34 |
| Sajad Jafari | 5 | 0 | 0.34 |