Bifurcations of a non-gravitational interaction problem

Xia Liu and H. Jardón-Kojakhmetov

Applied Mathematics and Computation, 2015, vol. 251, issue C, 253-257

Abstract: This paper studies a particular planar problem which can be related to the interaction of two bodies under the action of a non-gravitational force field. Specifically, the mathematical description of this problem is a system of ordinary differential equations depending on a parameter ν. We investigate the topological structure of this system as ν varies along the entire real line R. As we shall see there are five distinct cases for all ν∈R. A bifurcation scenario occurs at ν=0 and ν=2, respectively. Our study partly recovers the results known in Mcgehee (1981).

Keywords: Non-gravitational interaction; Singularity; Blow up; Bifurcation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:253-257

DOI: 10.1016/j.amc.2014.11.066

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