Busse balloons - from the reversible Gray-Scott model ... - Eurandom

Introduction
Rise of Patterns
The Busse balloon
Conclusions and ongoing research
Example: Busse balloon for Gray-Scott system
k
17.5
15.0
12.5
10.0
7.5
5.0
2.5
sn 1
Hopf +1
sideband
0.0
0.000 0.010 0.020 0.030 0.040 0.050
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00
sn
2
equilibrium
A
Busse balloon
sideband
2.00
1.75
1.50
1.25
1.00
0.75
0.50
0.25
0.00
equilibrium
sideband
sn
1
Hopf+1
Hopf−1
Figure: A Busse balloon for the Gray-Scott model with b = ... and γ = 1.
Sjors van der Stelt Busse balloons