@article{article_431321, title={Streamline Topology of Axisymmetric Flow Near Non-Simple Singular Point}, journal={Cumhuriyet Science Journal}, volume={39}, pages={557–564}, year={2018}, DOI={10.17776/csj.431321}, url={https://izlik.org/JA89SP26HP}, author={Deliceoğlu, Ali and Bozkurt, Deniz}, keywords={Structural stability,divergence-free vector field,Lagrangian dynamics,structural bifurcation,singularity classification}, abstract={<p style="text-align:justify;"> <span style="font-size:10pt;line-height:115%;font-family:’Times New Roman’, serif;">The
aim of this paper is to obtain streamline patterns of axisymmetric flow and
their bifurcations for 2-D incompressible flows close to non-simple singular
point. The streamlines of a Hamiltonian vector field system are simplified by
using the homotopy invariance of the index theory. Using a homotopy invariance
of the index, we develop a theory for the sufficient and necessary conditions
for structural bifurcation of axisymmetric flow near non-simple degenerate
critical points. The variation of parameters in the flow field can cause
structural bifurcations. The bifurcation of the degenerate flow structure is
obtained when it is perturbed slightly. </span> <br /> </p>}, number={3}