title: Bistability in bubble formation.
abstract: We obtain experimental data on time intervals of a bubble train generated from a nozzle with the air flow rate as the control parameter. Varying the length of the hose that connects the proportionating solenoid valve to the nozzle, we generate bifurcation diagrams showing period-adding cascades, among other dynamical phenomena. Then we construct a two-parameter family of one-dimensional maps whose bifurcation diagrams qualitatively match the experimental ones. The model indicates the existence of parameters where two attractors coexist, a phenomenon called bistability, and the same behavior is fully confirmed in the experiment.
authors.affiliation: Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matão 1010, CEP 05508-090 São Paulo, Brazil. colli@ime.usp.br
authors.forename: Eduardo
authors.initials: E
authors.lastname: Colli
authors.forename: Viviane S M
authors.initials: VS
authors.lastname: Piassi
authors.forename: Alberto
authors.initials: A
authors.lastname: Tufaile
authors.forename: José Carlos
authors.initials: JC
authors.lastname: Sartorelli