title: Spontaneous mode switching in coupled oscillators competing for constant amounts of resources.
abstract: We propose a widely applicable scheme of coupling that models competitions among dynamical systems for fixed amounts of resources. Two oscillators coupled in this way synchronize in antiphase. Three oscillators coupled circularly show a number of oscillation modes such as rotation and partially in-phase synchronization. Intriguingly, simple oscillators in the model also produce complex behavior such as spontaneous switching among different modes. The dynamics reproduces well the spatiotemporal oscillatory behavior of a true slime mold Physarum, which is capable of computational optimization.
authors.affiliation: Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan. yoshito@sat.t.u-tokyo.ac.jp
authors.forename: Yoshito
authors.initials: Y
authors.lastname: Hirata
authors.forename: Masashi
authors.initials: M
authors.lastname: Aono
authors.forename: Masahiko
authors.initials: M
authors.lastname: Hara
authors.forename: Kazuyuki
authors.initials: K
authors.lastname: Aihara
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D001921:Brain / Q000473:pathology; D008954:Models, Biological; D008959:Models, Neurological; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods; D010100:Oxygen / Q000378:metabolism; D016839:Physarum polycephalum / Q000502:physiology*
chemical_list: D010100:Oxygen