Detection of one parameter bifurcations of dynamical systems with cosymmetry

B. Karasözen, Ö.C. Gemici, V.G. Tsybulin

Middle East Technical University, Turkey, and Rostov State University, Russia

bulent@metu.edu.tr

Poster

Differential equations with cosymmetry possess continuous family of equilibria with varying spectrum. We consider two systems with cosymmetry: filtration convection problem and model Hamiltonian equations. We carry out bifurcation analysis for equilibria of these dynamical systems and apply several test functions to the computation of bifurcation points. Different geometric integrators are also used to study the dynamics in vicinity of bifurcation points.