3 problems

The model admits shock-fronted travelling wave solutions, including monotone, nonmonotone, and canard-type families. Geometric destabilization conjecture. Nonmonotonicity may be a…

Homoclinic-excursion conjecture. The additional small fast loops could correspond to homoclinic excursions in the fast subsystem anchored at points close to ${\mathcal L}_\pm$.

Normal-hyperbolicity-loss conjecture. These parts arise due to the loss of normal hyperbolicity at ${\mathcal L}_\pm$.