Figure 4
Simple dynamics model and simulation of SPS and SPSD responses. (a) Simulation of the variation of locomotion speed
with time (black line), and the function form of
(dashed line). (b) Schematic illustration of the model behaviors. Many oscillators with different frequencies (the same symbols denote the same frequencies) rotate counterclockwise on the ring in the state space spanned by two kinds of chemical species that are not specified and might be any chemicals. In the initial conditions the phase
of the oscillator is distributed at random; no coherent motion is observed, so that locomotion speed
is nearly one (b1). After periodic perturbations of frequency
are applied to all the oscillators, the multiple oscillators with
(open stars) tend to synchronize because they are pushed leftward on the ring during the perturbation (b2). This synchronization is observed in oscillators with each frequency of
(open squares and open diamonds). At this point,
shows clear periodic variations with the same frequency as the external perturbations, and this state is maintained until the coherent oscillators desynchronize in phase, due to differences between their intrinsic frequencies
(b3). Note that groups of oscillators of the same frequency remain synchronized even though
does not show any clear periodic behavior. When the perturbation is applied again, the oscillator groups of the same frequency tend to synchronize in phase, so that
again shows periodic behavior (b2).
, 0.11, 0.12, 0.13, …, 4.49, 4.50;
;
;
.
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