Global aspects of homoclinic bifurcations of three-dimensional saddles (Q2366784)

One analyses the homoclinic bifurcations of a saddle fixed point using the manifold approach. The flow is three-dimensional and the fixed point is called an \(A\)-type saddle \((--+)\). The time delay function is introduced and invariant structures are discussed. So one constructs complete three-dimensional pictures of the invariant manifolds for the global flows.