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Page 1775 of Mathematical Reviews Vol. , Issue 2003C
[page]
2003
Mathematical Reviews
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She uses a new method developed in Part I with W. Huang and J. Wu [“Normal forms for semilinear functional differential equations in Banach spaces. I. ...
initial value problems for a class of semilinear functional- differential inclusions in ordered Banach spaces.”
2003¢:34132 34K30 34K17 34K18 35R10
Faria, Teresa (P-LISBS; Lisbon)
Normal forms for semilinear ...
Page 2952 of Mathematical Reviews Vol. , Issue 97E
[page]
1997
Mathematical Reviews
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To prove the existence result, the author rewrites the boundary value problem as an operator equation in an abstract Banach space. ...
|[Wu, Jian Hong] (3-YORK-MS; North York, ON)
Hopf bifurcation analysis of some second order FDEs and neural networks with infinite delay. (English summary)
Differential Equations Dynam. ...
Normal forms for semilinear functional differential equations in Banach spaces and applications. Part II
2000
Discrete and Continuous Dynamical Systems. Series A
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A normal form theory for functional differential equations in Banach spaces of retarded type is addressed. ...
Applications to Bogdanov-Takens and Hopf bifurcations are presented. ...
NORMAL FORMS FOR FDE IN BANACH SPACES 157 (H2) T (t) is a compact operator for each t > 0. ...
doi:10.3934/dcds.2001.7.155
fatcat:q3ntbzctijcr3duyjmlbygvszq
Formulation of the normal forms of Turing-Hopf bifurcation in reaction-diffusion systems with time delay
[article]
2018
arXiv
pre-print
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The normal forms up to the third order for a Hopf-steady state bifurcation of a general system of partial functional differential equations (PFDEs) is derived based on the center manifold and normal form ...
This provides a user-friendly approach of showing the existence and stability of patterned stationary and time-periodic solutions with spatial heterogeneity when the parameters are near a Turing-Hopf bifurcation ...
The method proposed in [18, 19] has been applied to the bifurcation problems in ODEs or FDEs, such as codimensionone Hopf bifurcation, and codimension-two Hopf-zero bifurcation and Bogdanov-Takens bifurcation ...
arXiv:1802.10286v1
fatcat:uzitgz7jjfanvdo5nplwu6utz4
Page 1064 of Mathematical Reviews Vol. , Issue Index
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Mathematical Reviews
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(English summary) 2003¢:35148
— (with Huang, Wen Zhang; Wu, Jian Hong) Smoothness of center manifolds for maps and formal adjoints for semilinear FDEs in general Banach spaces. ...
(English summary) 2003):37134
Faria, Teresa (with Huang, Wen Zhang; Wu, Jian Hong) Smoothness of center manifolds for maps and formal adjoints for semilinear FDEs in general Banach spaces. ...
Bistability Dynamics in Structured Ecological Models
[chapter]
2009
Spatial Ecology
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Alternative stable states exist in many important ecosystems, and gradual change of the environment can lead to dramatic regime shift in these systems ( ...
cooperative system in Hirsch (1989) and a Lyapunov function in Jiang (1992) ; for n ≥ 5, in the bistable case for the Griffith or Tyson-Othmer model, there may exist Hopf bifurcation on the unique ...
They prove that in a strongly order preserving or strongly monotone semiflow in a Banach space, if there are exactly two locally stable steady states, and any other possible steady state is unstable, then ...
doi:10.1201/9781420059861.ch3
fatcat:ox7paqg6p5fldf6ocybc6mgfhy
Page 715 of Mathematical Reviews Vol. 32, Issue Index
[page]
Mathematical Reviews
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Existence results for neutral functional differential and integrodifferential inclusions in Banach spaces. ...
(with Wulf, Volker) Hopf bifurcation for numerical approximations to the delay logistic equation. ...
Page 1938 of Mathematical Reviews Vol. , Issue Index
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Mathematical Reviews
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systems on ordered Banach spaces. ...
(English summary) 97a:35127
Huang, Qi Chang (with Wei, Jun Jie; Wu, Jian Hong) Hopf bifurcation analysis of some second order FDEs and neural networks with infinite delay. ...