Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling
Joint Authors
Ma, Lifeng
Wang, Jinbin
Zhang, Rui
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Using center manifold reduction methodswe investigate the double Hopf bifurcation in the dynamics of microbubble with delay couplingwith main attention focused on nonresonant double Hopf bifurcation.
We obtain the normal form of the system in the vicinity of the double Hopf point and classify the bifurcations in a two-dimensional parameter space near the critical point.
Some numerical simulations support the applicability of the theoretical results.
In particularwe give the explanation for some physical phenomena of the system using the obtained mathematical results.
American Psychological Association (APA)
Wang, Jinbin& Zhang, Rui& Ma, Lifeng. 2020. Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127510
Modern Language Association (MLA)
Wang, Jinbin…[et al.]. Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling. Advances in Mathematical Physics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1127510
American Medical Association (AMA)
Wang, Jinbin& Zhang, Rui& Ma, Lifeng. Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127510
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127510