Gabriel William Duchesne

From Heteroclinic Loops to Homoclinic Snaking in Reversible Systems: Rigorous Forcing through Computer-Assisted Proofs

Abstract. Homoclinic snaking is a widespread phenomenon observed in many pattern-forming systems. Demonstrating its occurrence in nonperturbative regimes has proven difficult, although a forcing theory has been developed based on the identification of patterned front solutions. T...