Introduction to the 2009 re-publication of the ‘Neimark-Sacker bifurcation theorem’. (English) Zbl 1187.37030
As a brief introduction to the re-publication of Ch. 2 of the author’s 1964 dissertation, known as the Neimark-Sacker bifurcation theorem the author gives its new proof without usage of the Center Manifold theorem, based on the introduction of the weighted monomials technique.
Reviewer: Irina V. Konopleva (Ul’yanovsk)
MSC:
| 37C10 | Dynamics induced by flows and semiflows |
| 34C23 | Bifurcation theory for ordinary differential equations |
| 34C20 | Transformation and reduction of ordinary differential equations and systems, normal forms |
Citations:
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