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Collection of dynamic systems animations
Nasser M. Abbasi
March 5, 2026
Compiled on March 5, 2026 at 10:10pm
1
Lorenz system
1.1
Case 1. initial conditions
\(x(0)=-2,y(0)=-1,z(0)=1\)
and
\(a=10,b=\frac {8}{3},r=28\)
1.2
Case 2. initial conditions
\(x(0)=-2,y(0)=-1,z(0)=1\)
and
\(a=10,b=\frac {8}{3},r=15\)
2
SIRS infection model
3
SIR infection model
4
Van der Pol system
5
Limit cycles
5.1
Example 1 (Stable limit cycle)
5.2
Example 2. Stable and Unstable limit cycles
5.3
Example 3. Stable and Unstable limit cycles
6
\(x''(t)+f(x)x'(t)+x(t)=0\)
and periodic solutions
7
Fixed point iteration
\(f(x)=x-x^3\)
a sink at
\(x=0\)