Bifurcations in smooth systems
Objectives
O1.1 Create new knowledge in degenerate codim 3 Bautin bifurcations.
O1.2 Create new knowledge in degenerate codim 3 Hopf-Hopf bifurcations.
O1.3 Create new knowledge in the theory of codim k bifurcations for continuous smooth dynamical systems, k ≥ 3.
O1.4 Create new knowledge in the theory of codimension k bifurcations for discrete smooth dynamical systems, k ≥ 3.
Tasks
T1.1 Study degenerate Bautin bifurcations.
T1.2 Study degenerate Hopf-Hopf bifurcations.
T1.3 Study other codim k bifurcations in continuous (smooth) systems, k ≥ 3.
T1.4 Study other codim k bifurcations in discrete (smooth) systems, k ≥ 3.