Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations
Joint Authors
Zhang, Gang
Hu, Wenjun
Tian, Haiyan
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Evolutionary game dynamics is an important research, which is widely used in many fields such as social networks, biological systems, and cooperative behaviors.
This paper focuses on the Hopf bifurcation in imitative dynamics of three strategies (Rock-Paper-Scissors) with mutations.
First, we verify that there is a Hopf bifurcation in the imitative dynamics with no mutation.
Then, we find that there is a critical value of mutation such that the system tends to an unstable limit cycle created in a subcritical Hopf bifurcation.
Moreover, the Hopf bifurcation exists for other kinds of the considered mutation patterns.
Finally, the theoretical results are verified by numerical simulations through Rock-Paper-Scissors game.
American Psychological Association (APA)
Hu, Wenjun& Tian, Haiyan& Zhang, Gang. 2019. Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations. Complexity،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1131706
Modern Language Association (MLA)
Hu, Wenjun…[et al.]. Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations. Complexity No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1131706
American Medical Association (AMA)
Hu, Wenjun& Tian, Haiyan& Zhang, Gang. Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations. Complexity. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1131706
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131706