MATHEMATICA BOHEMICA, Vol. 136, No. 4, pp. 405-414, 2011

Bifurcations in the two imaginary centers problem

Cristina Chiralt, Beatriz Campos, Pura Vindel

Cristina Chiralt, Jaume I, Castellón, Spain, e-mail: chiralt@mat.uji.es; Beatriz Campos, Jaume I, Castellón, Spain, e-mail: campos@mat.uji.es; Pura Vindel, Jaume I, Castellón, Spain, e-mail: vindel@mat.uji.es

Abstract: In this paper we show that, for a given value of the energy, there is a bifurcation for the two imaginary centers problem. For this value not only the configuration of the orbits changes but also a change in the topology of the phase space occurs.

Keywords: bifurcation, topological configuration, orbital structure

Classification (MSC 2010): 37G99


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