Rossler
The "rossler" system is credited to Otto Rossler and arose from work in chemical kinetics.
The system is described with 3 coupled non-linear differential equations
---1. Rössler, O. E. 1976. An equation for continuous chaos. Phys. Lett. 35A:397-398.
Equation:
dx / dt = - y - z
dy / dt = x + a y
dz / dt = b + z ( x - c )
where a = 0.2, b = 0.2, c = 5.7 for chaos behavior
The above figure is copied from J.Chem.Phys.94(4), 2296 (1989)
Willamowski-Rossler network
[Aguda,B.D. & Clarker,B.L.,J.Chem.Phys.1988,89:7428-7434]
Scheme:
| T1 + X |
<--> |
2X ; |
k1 , k-1 |
| X + Y |
<--> |
2Y ; |
k2 , k-2 |
| T5 + Y |
<--> |
T2 ; |
k3 , k-3 |
| X + Z |
<--> |
T3 ; |
k4 , k-4 |
| T4 + Z |
<--> |
2Z ; |
k5 , k-5 |
|
parameter
|
value
|
parameter
|
value
|
|
k1
|
30.0
|
k1_
|
0.25
|
|
k2
|
1.0
|
k2_
|
10-4
|
|
k3
|
10.0
|
k3_
|
10-3
|
|
k4
|
1.0
|
k4_
|
10-3
|
|
k5
|
16.5
|
k5_
|
0.5
|
From K.-D. Willamowski and O. E. Ro¨ssler, Z. Naturforsch. A 35A, 317 (1980)
