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- Title
Degenerate Fold-Hopf Bifurcations in a Rössler-Type System.
- Authors
Tigan, G.; Llibre, J.; Ciurdariu, L.
- Abstract
We study the Hopf and the fold-Hopf bifurcations of the Rössler-type differential system with . We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold-Hopf bifurcation, which here is studied using the averaging theory. Our results show that a Hopf bifurcation takes place at the equilibrium when . This Hopf bifurcation becomes a fold-Hopf bifurcation when .
- Subjects
HOPF bifurcations; BIFURCATION theory; EXTERIOR differential systems; AVERAGING method (Differential equations); AVERAGING principle
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2017, Vol 27, Issue 5, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127417500687