On the Computation of Degenerate Hopf Bifurcations for n-Dimensional Multiparameter Vector Fields
Joint Authors
Markakis, M. P.
Douris, Panagiotis S.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The restriction of an n-dimensional nonlinear parametric system on the center manifold is treated via a new proper symbolic form and analytical expressions of the involved quantities are obtained as functions of the parameters by lengthy algebraic manipulations combined with computer assisted calculations.
Normal forms regarding degenerate Hopf bifurcations up to codimension 3, as well as the corresponding Lyapunov coefficients and bifurcation portraits, can be easily computed for any system under consideration.
American Psychological Association (APA)
Markakis, M. P.& Douris, Panagiotis S.. 2016. On the Computation of Degenerate Hopf Bifurcations for n-Dimensional Multiparameter Vector Fields. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1106325
Modern Language Association (MLA)
Markakis, M. P.& Douris, Panagiotis S.. On the Computation of Degenerate Hopf Bifurcations for n-Dimensional Multiparameter Vector Fields. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1106325
American Medical Association (AMA)
Markakis, M. P.& Douris, Panagiotis S.. On the Computation of Degenerate Hopf Bifurcations for n-Dimensional Multiparameter Vector Fields. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1106325
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106325