Finiteness and Bifurcations of some Symmetrical Classes of Central Configurations |
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Authors: | Eduardo S G Leandro |
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Institution: | (1) Departamento de Matemática, Universidade Federal de Pernambuco Recife, PE Brasil 50740-540, BR |
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Abstract: | We consider here the classical question of finiteness (see Smale 13] and Wintner 15]) – given n point masses, is the corresponding number of central configurations finite? We prove finiteness for a particular family of
d-dimensional symmetrical configurations of d+2 point masses. Also, we study the bifurcations of these configurations and provide the exact number of central configurations
when d=2, 3. All our results stem from the application of a new method for studying symmetrical classes of central configurations,
which is presented in this work.
(Accepted September 23, 2002) Published online February 14, 2003
Communicated by P. Rabinowitz |
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Keywords: | |
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