Half-center oscillator

τ dri/dt = −ri + S(Di − w rj − g ai) τa dai/dt = −ai + ri S(u) = 1 / (1 + e−10(u−0.5)) i, j = flexor F, extensor E

Competition plane

Click the plane to start from there
attractor
transient
drF/dt = 0
drE/dt = 0
● rest point  × tipping point (fatigue frozen at its current level)
start
now
Arrow excites, bar inhibits; width shows strength. A neuron lights when its population's rate passes that neuron's threshold.
Regime
–
Fixed point
–
(rF*, rE*)
Period
–
time units per cycle
Burst durations
–
flexor / extensor

Time series