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Table 1. 

Candidate oscillating chemical reaction networks. The one proposed by Wilhelm and Heinrich [42] was chosen in the present work.

System name Chemical reactions Limit cycle Single moiety Short siphon Reference 
Lotka-Volterra A + X → 2X No Yes Yes [21] 
X + Y → 2Y 
YB 
 
Schlögl A + 2X → 3X No (only bistability) Yes Yes [30] 
3X → 2X + B 
XB 
 
Brusselator AX Yes No (2 moieties) No (a siphon containing X also contains A[28] 
2X + Y → 3X 
B + XY + D 
XE 
 
Wilhelm A + X → 2X Yes Yes Yes [42] 
X + YY + B 
YB 
XZ 
ZY 
System name Chemical reactions Limit cycle Single moiety Short siphon Reference 
Lotka-Volterra A + X → 2X No Yes Yes [21] 
X + Y → 2Y 
YB 
 
Schlögl A + 2X → 3X No (only bistability) Yes Yes [30] 
3X → 2X + B 
XB 
 
Brusselator AX Yes No (2 moieties) No (a siphon containing X also contains A[28] 
2X + Y → 3X 
B + XY + D 
XE 
 
Wilhelm A + X → 2X Yes Yes Yes [42] 
X + YY + B 
YB 
XZ 
ZY 
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