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Bogdanov-Takens and Triple Zero Bifurcations of Coupled van der Pol-Duffing Oscillators with Multiple Delays.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . Aug2017, Vol. 27 Issue 9, p-1. 18p. - Publication Year :
- 2017
-
Abstract
- In this paper, the Bogdanov-Takens (B-T) and triple zero bifurcations are investigated for coupled van der Pol-Duffing oscillators with symmetry, in the presence of time delays due to the intrinsic response and coupling. Different from previous works, third order unfolding normal forms associated with B-T and triple zero bifurcations are needed, which are obtained by using the normal form theory of delay differential equations. Numerical simulations are also presented to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 27
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 125066109
- Full Text :
- https://doi.org/10.1142/S0218127417501334