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Bifurcations in the two imaginary centers problem. (English) Zbl 1249.37031
Summary: 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.
MSC:
37G99 Local and nonlocal bifurcation theory for dynamical systems
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