Titlebook: Bifurcation Theory of Functional Differential Equations; Shangjiang Guo,Jianhong Wu Book 2013 Springer Science+Business Media New York 201

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Intractable

https://doi.org/10.1007/3-540-07170-9rically occur. These are fold (also referred to as steady-state) bifurcations, for which the linearization has a zero eigenvalue, and Hopf bifurcations, for which the eigenvalue is complex with zero real part. Typically, branches of solutions bifurcate from the original equilibrium and are approxima

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Shangjiang Guo,Jianhong WuAuthored by two leading active researchers.Self-contained and with most recent results on state-dependent delay equations and global bifurcations.Contains theory and some related applications.Includes

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Debate

Normal Form Theory,alysis. In the context of finite-dimensional ordinary differential equations (ODEs), this theory can be traced back as far as Euler. However, Poincaré [247] and Birkhoff [33] were the first to bring forth the theory in a more definite form.

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微塵

Uncultured

,Lyapunov–Schmidt Reduction,The main objective of this chapter is to introduce the Lyapunov–Schmidt reduction method and show how this reduction can be performed in a way compatible with symmetries.

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