Global manifolds of saddle periodic orbits parametrised by isochrons (Q6616682)

The authors present a new way of computing and visualising the two-dimensional stable manifold \(W^s (\Gamma^\times)\) and/or unstable manifold \(W^u (\Gamma^\times)\) of a saddle-type periodic orbit \(\Gamma^\times\) via their foliations by isochrons. These foliations not only represent \(W^s (\Gamma^\times)\) and \(W^u (\Gamma^\times)\) as surfaces but, in addition to their intrinsic geometric information, also encode information about phase sensitivity and the relative velocity of dynamics on these manifolds.\N\NFor the entire collection see [Zbl 1537.37005].