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The Application of the Undetermined Fundamental Frequency Method on the Period-Doubling Bifurcation of the 3D Nonlinear System
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The analytical method to predict the period-doubling bifurcation of the three-dimensional (3D) system is improved by using the undetermined fundamental frequency method.
We compute the stable response of the system subject to the quadratic and cubic nonlinearity by introducing the undetermined fundamental frequency.
For the occurrence of the first and second period-doubling bifurcation, the new bifurcation criterion is accomplished.
It depends on the stability of the limit cycle on the central manifold.
The explicit applications show that the new results coincide with the results of the numerical simulation as compared with the initial methods.
American Psychological Association (APA)
Ge, Gen& Wang, Wei. 2013. The Application of the Undetermined Fundamental Frequency Method on the Period-Doubling Bifurcation of the 3D Nonlinear System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-500158
Modern Language Association (MLA)
Ge, Gen& Wang, Wei. The Application of the Undetermined Fundamental Frequency Method on the Period-Doubling Bifurcation of the 3D Nonlinear System. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-500158
American Medical Association (AMA)
Ge, Gen& Wang, Wei. The Application of the Undetermined Fundamental Frequency Method on the Period-Doubling Bifurcation of the 3D Nonlinear System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-500158
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500158