We examine some of the difficulties involved in detecting generalized synchrony (GS) in systems that exhibit noninvertibility and/or wrinkling. These latter features severely hinder identification of GS by conventional techniques. It is shown that it is possible to greatly improve detection by reducing the pseudofalse neighbors effects. Here we propose the ${\delta }^p$-neighbor method to overcome the noninvertibility effect and the ${\delta }^{p,q}$ method to detect GS in systems with wrinkled structures.

• Received 2 September 2002

DOI:https://doi.org/10.1103/PhysRevE.67.026223