The Gluing-Together Principle

So far, a single design principle has proved sufficient to generate a whole world of nontrivial flows in three and higher dimensions. The resulting limiting equations appeared rather ‘robust’ in the sense that the limiting parameter $$\varepsilon $$ could be increased from zero up to the order of unity (cf. Eq. ( 2.2 )); and also in view of the fact that no more than a single quasi-threshold (an ‘L’ instead of a ‘Z’-shaped slow manifold) with a single quadratic term was required (Eqs. ( 2.2 ) and ( 4.1 )).