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- Title
Bogdanov-Takens and Triple Zero Bifurcations of Coupled van der Pol-Duffing Oscillators with Multiple Delays.
- Authors
Liu, Xia; Zhang, Tonghua
- 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.
- Subjects
BIFURCATION theory; VAN der Pol oscillators (Physics); TIME delay systems; DELAY differential equations; COMPUTER simulation
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2017, Vol 27, Issue 9, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127417501334