Spontaneous mode switching in coupled oscillators competing for constant amounts of resources.
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.
Hirata
Yoshito
Y
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
Aono
Masashi
M
Hara
Masahiko
M
Aihara
Kazuyuki
K
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*
D010100:Oxygen