title: Type of dynamic phase transition in bistable equations.
abstract: We consider a class of bistable periodically perturbed ordinary differential equations of importance in mathematical physics and derive an asymptotic criterion for the existence of a tricritical point (TCP). Surprisingly, in the adiabatic limit the criterion is local and very simple. It also allows one to calculate the location of a TCP in parameter space, which we illustrate with three examples.
authors.affiliation: Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. Gregory.Berkolaiko@math.tamu.edu
authors.forename: Gregory
authors.initials: G
authors.lastname: Berkolaiko
authors.forename: Michael
authors.initials: M
authors.lastname: Grinfeld