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Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1240-7
Abstract: The mixed braid groups $$B_{2,n}, \ n \in \mathbb {N}$$B2,n,n∈N, with two fixed strands and n moving ones, are known to be related to the knot theory of certain families of 3-manifolds. In this paper,…
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Keywords:
two fixed;
mixed hecke;
basis;
fixed strands ... See more keywords
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Published in 2017 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-017-1307-9
Abstract: Periodic and quasiperiodic solutions of the Coulomb equation of motion of two equal negative charges in the field of two fixed identical positive charges are found with the help of the Lyapunov center theorem.
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Keywords:
two fixed;
negative charges;
two equal;
charges field ... See more keywords
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Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.05.026
Abstract: We give a complete description of the shapes and the behavior of all homoclinic orbits in the Euler problem of two fixed centers.
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Keywords:
two fixed;
euler problem;
homoclinic orbits;
fixed centers ... See more keywords