title: Spatiotemporal symmetry in rings of coupled biological oscillators of Physarum plasmodial slime mold.
abstract: Spatiotemporal patterns in rings of coupled biological oscillators of the plasmodial slime mold, Physarum polycephalum, were investigated by comparing with results analyzed by the symmetric Hopf bifurcation theory based on group theory. In three-, four-, and five-oscillator systems, all types of oscillation modes predicted by the theory were observed including a novel oscillation mode, a half period oscillation, which has not been reported anywhere in practical systems. Our results support the effectiveness of the symmetric Hopf bifurcation theory in practical systems.
authors.affiliation: PRESTO, Japan Science and Technology Corporation, Saitama, Japan. atsuko@iis.u-tokyo.ac.jp
authors.forename: A
authors.initials: A
authors.lastname: Takamatsu
authors.forename: R
authors.initials: R
authors.lastname: Tanaka
authors.forename: H
authors.initials: H
authors.lastname: Yamada
authors.forename: T
authors.initials: T
authors.lastname: Nakagaki
authors.forename: T
authors.initials: T
authors.lastname: Fujii
authors.forename: I
authors.initials: I
authors.lastname: Endo
mesh_terms: D000818:Animals; D008954:Models, Biological; D010507:Periodicity; D016839:Physarum polycephalum / Q000502:physiology*