| Title:
|
Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system (English) |
| Author:
|
Liang, Hongtao |
| Author:
|
Tang, Yanxia |
| Author:
|
Li, Li |
| Author:
|
Wei, Zhouchao |
| Author:
|
Wang, Zhen |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
49 |
| Issue:
|
6 |
| Year:
|
2013 |
| Pages:
|
935-947 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system. (English) |
| Keyword:
|
four-wing chaotic attractors |
| Keyword:
|
Lyapunov coefficient |
| Keyword:
|
degenerate Hopf bifurcations |
| Keyword:
|
period-doubling cascade |
| MSC:
|
34A34 |
| MSC:
|
34C05 |
| MSC:
|
34C23 |
| MSC:
|
34C28 |
| MSC:
|
34H10 |
| MSC:
|
34H20 |
| idZBL:
|
Zbl 1290.34050 |
| idMR:
|
MR3182649 |
| . |
| Date available:
|
2014-01-27T12:32:23Z |
| Last updated:
|
2015-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143580 |
| . |
| Reference:
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