6533b7dafe1ef96bd126e00f

RESEARCH PRODUCT

Bifurcations of Links of Periodic Orbits in Non-Singular Systems with Two Rotational Symmetries on S3

J. Martínez AlfaroB. CamposP. Vindel

subject

Algebra and Number TheoryClassical mechanicsFlow (mathematics)Non singularHomogeneous spacePeriodic orbitsSymmetry (geometry)Type (model theory)TopologyBifurcationMathematics

description

A topological characterization of all possible links composed of the periodic orbits of a Non Singular Morse-Smale flow on S3 has been made by M. Wada. The presence of symmetry forces the appearance of given types of links. In this paper we introduce a geometrical tool to represent these type of links when a symmetry around two axes is considered on NMS systems: mosaics. On the other hand, we use mosaics to study what kind of bifurcation can occur in this type of system maintaining the symmetry.

https://doi.org/10.1142/s0218216597000133