Carr, Jack Applications of centre manifold theory. (English) Zbl 0464.58001 Applied Mathematical Sciences, Vol. 35. New York Heidelberg Berlin: Springer Verlag. XII. 142 p. DM 32.00; $ 14.60 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 675 Documents MSC: 58-02 Research exposition (monographs, survey articles) pertaining to global analysis 37G99 Local and nonlocal bifurcation theory for dynamical systems 34C45 Invariant manifolds for ordinary differential equations 37D99 Dynamical systems with hyperbolic behavior 34E15 Singular perturbations for ordinary differential equations 34D20 Stability of solutions to ordinary differential equations 35B32 Bifurcations in context of PDEs Keywords:method of integral manifolds; manifolds of solutions; Ljapunov stability; centre manifold theory for finite dimensional differential systems; stability of zero solution; singular perturbation; rate of decay; Hopf bifurcation in a singular perturbation problem; bifurcation problem with two parameters PDF BibTeX XML OpenURL