Fixed point indices of central configurations
نویسندگان
چکیده
منابع مشابه
Central Configurations, Symmetries and Fixed Points
Planar central configurations can be seen as critical points of the reduced potential or solutions of a system of equations. By the homogeneity and invariance of the potential with respect to SO(2), it is possible to see that the SO(2)-orbits of central configurations are fixed points of a suitable map f . The purpose of the paper is to define this map and to derive some properties using topolo...
متن کاملFixed Point Indices and Invariant Periodic Sets of Holomorphic Systems
This note presents a method to study center families of periodic orbits of complex holomorphic differential equations near singularities, based on some iteration properties of fixed point indices. As an application of this method, we will prove Needham’s theorem in a more general version. 1. Fixed point indices of holomorphic mappings Let C be the complex vector space of dimension n, let U be a...
متن کاملFixed Point Indices and Periodic Points of Holomorphic Mappings
Let ∆ be the ball |x| < 1 in the complex vector space C, let f : ∆ → C be a holomorphic mapping and let M be a positive integer. Assume that the origin 0 = (0, . . . , 0) is an isolated fixed point of both f and the M -th iteration f of f . Then for each factor m of M, the origin is again an isolated fixed point of f and the fixed point index μfm(0) of f m at the origin is well defined, and so ...
متن کاملOn the fixed point of order 2
This paper deals with a new type of fixed point, i.e;"fixed point of order 2" which is introduced in a metric spaceand some results are achieved.
متن کاملOn Matching Point Configurations
We present an algorithm that verifies if two unlabeled configurations of N points in Rd are or are not an orthogonal transformation of one another, and if applicable, explicitly compute that transformation. We also give a formula for the orthogonal transformation in the case of noisy measurements. AMS subject classification: 65F15, 65F35, 65G99.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fixed Point Theory and Applications
سال: 2015
ISSN: 1661-7738,1661-7746
DOI: 10.1007/s11784-015-0246-z