Type of dynamic phase transition in bistable equations.
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.
Berkolaiko
Gregory
G
Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. Gregory.Berkolaiko@math.tamu.edu
Grinfeld
Michael
M