Type of dynamic phase transition in bistable equations. Academic Article uri icon


  • 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.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Berkolaiko, G., & Grinfeld, M.

citation count

  • 18

complete list of authors

  • Berkolaiko, Gregory||Grinfeld, Michael

publication date

  • December 2007