Prof. Dr. Gerrit Lohmann

Content:

Dynamical systems theory provides powerful tools to help understand problems related to the complex climate system. The efforts include the stability of fluid flows, bifurcation theory, regime shifts, and the dynamics of simplified climate models.

Time: 10.8. (Mo) - 13.8. (Th), 9-16 h + oral examination on 17.8.
Place: Bremen University, PEP room

2 ECTS Points (in total 60h)

Beispiel:

print("STRANGE ATTRACTORS-LORENZ SYSTEM")
r=28
s=10
b=8/3
dt=0.01
x=0.1
y=0.1
z=0.1
vx<-c(0)
vy<-c(0)
vz<-c(0)
for(i in 1:10000){
x1=x+s*(y-x)*dt
y1=y+(r*x-y-x*z)*dt
z1=z+(x*y-b*z)*dt
vx[i]=x1
vy[i]=y1
vz[i]=z1
x=x1
y=y1
z=z1
}
plot(vx,vy,type="l",xlab="x",ylab="y",main="LORENZ ATTRACTOR")

Further Literature:

• Dynamical Paleoclimatology - a generalized theory of global climate change, B. Saltzman, Academic Press, San Diego, 2002, 345 pp.
• The nature of mathematical modeling, N. Gershenfeld, Cambridge University Press, Cambridge, 2003, 344 pp.
• Nonlinear Physical Oceanography, A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño, Dijkstra, Henk A.,  2005, 532 p.