Volume 2, Issue 4
The Center Manifold Reduction Method for Hopf Bifurcation Theorem

Lei Yansong

J. Part. Diff. Eq.,2(1989),pp.22-34

Published online: 1989-02

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  • Abstract
In this paper we apply the center manifold reduction method to prove a Hopf bifurcation theorem for infinite dimensional problem. The asymptolic expression of bifurcation formulae and stability condition are given. The Hopf bifurcation problem for a system of parabolic equations is considered.
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@Article{JPDE-2-22, author = {Lei Yansong}, title = {The Center Manifold Reduction Method for Hopf Bifurcation Theorem}, journal = {Journal of Partial Differential Equations}, year = {1989}, volume = {2}, number = {4}, pages = {22--34}, abstract = { In this paper we apply the center manifold reduction method to prove a Hopf bifurcation theorem for infinite dimensional problem. The asymptolic expression of bifurcation formulae and stability condition are given. The Hopf bifurcation problem for a system of parabolic equations is considered.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5840.html} }
TY - JOUR T1 - The Center Manifold Reduction Method for Hopf Bifurcation Theorem AU - Lei Yansong JO - Journal of Partial Differential Equations VL - 4 SP - 22 EP - 34 PY - 1989 DA - 1989/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5840.html KW - AB - In this paper we apply the center manifold reduction method to prove a Hopf bifurcation theorem for infinite dimensional problem. The asymptolic expression of bifurcation formulae and stability condition are given. The Hopf bifurcation problem for a system of parabolic equations is considered.
Lei Yansong. (1970). The Center Manifold Reduction Method for Hopf Bifurcation Theorem. Journal of Partial Differential Equations. 2 (4). 22-34. doi:
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