A Geometric Approach to Regular Perturbation Theory with an Application to Hydrodynamics
نویسندگان
چکیده
منابع مشابه
A Geometric Approach to Regular Perturbation Theory with an Application to Hydrodynamics
The Lyapunov-Schmidt reduction technique is used to prove a persistence theorem for fixed points of a parameterized family of maps. This theorem is specialized to give a method for detecting the existence of persistent periodic solutions of perturbed systems of differential equations. In turn, this specialization is applied to prove the existence of many hyperbolic periodic solutions of a stead...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1995
ISSN: 0002-9947
DOI: 10.2307/2155054