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Collection of dynamic systems animations

Nasser M. Abbasi

May 5, 2020   Compiled on May 5, 2020 at 12:12 Noon
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 \(x=0\)