Supplementary Material
1 SUPPLEMENTARY FIGURES
20 24 28
1 [h]
E S E 365
Day of Year
Berlin A = 4
A
20 24 28
1 [h]
E S E 365
Berlin A = 6
B
20 24 28
1 [h]
E S E 365
Berlin A = 8
C
20 24 28
1 [h]
E S E 365
Berlin A = 10
D
-12 -6 0 6 12
[h]
Figure S1. Entrainment region decreases with increasing clock amplitude.Entrainment regions and color-coded phases of entrainmentψforφ= 52.51◦, a latitude corresponding to Berlin, for four different free running amplitudesAof the internal clock (i.e. the Poincar´e oscillator), namelyA= 4,6,8and10in panels A-D, respectively.
20 24 28
1 [h]
E S E 365
Day of Year
Berlin
= 0.01h1
A
20 24 28
1 [h]
E S E 365
Berlin
= 0.1h1
B
20 24 28
1 [h]
E S E 365
Berlin
= 0.5h1
C
-12 -6 0 6 12
[h]
Figure S2. Entrainment region decreases with increasing radial relaxation rate.Entrainment regions and color-coded phases of entrainment ψ for φ = 52.51◦, a latitude corresponding to Berlin, for three different radial relaxation rates λ of the internal clock (i.e. the Poincar´e oscillator), namely λ= 0.01h−1,0.1h−1and0.5h−1in panels A-C, respectively.
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Supplementary Material
1 E S E S
Day of Year
90 60 30 0 30 60 90
Latitude [degree]
Equator Antarctic Circle Arctic Circle
A
0 5 10 15 20
Daily Insolation[
kW m2
]
20 24 28
1
[h]
E S E S
Day of Year
= 52.51 Sun Tracking
C
1 E S E S
Day of Year
90 60 30 0 30 60 90
Latitude [degree]
Equator Antarctic Circle Arctic Circle
B
0.0 0.3 0.6
SD of Daily Irradiance [
kW m2]
Figure S3. Sun tracking enhances the perceived daily insolation and leads to a robust entrainment at winter season.A) Daily insolation for different latitudes and times of year in case of a Sun tracking light perceiving surface. B) Standard deviation of the solar irradiance, calculated over a complete day (24h), for different latitudes and times of year in case of a Sun tracking light perceiving surface. C) Entrainment regions and color-coded phases of entrainmentψ forφ = 52.51◦, a latitude corresponding to Berlin, in case that the circadian clock perceives light analogously to a Sun tracking surface. Compare Figures 3 B and D as well as Figure 4 C of themain text.
2