Rössler attractor
What is the Rössler attractor?
Differential equations
$$\frac{dx}{dt}=-y-z,$$
$$\frac{dy}{dt}=x+ay,$$
$$\frac{dz}{dt}=b+z(x-c).$$
Important:
Parameters
\(a\)
\(b\)
\(c\)
$$a=0.2,\qquad b=0.2,\qquad c=5.7.$$
How does the attractor form?
Key idea:
Numerical solution
$$\mathbf{x}_{n+1}\approx \mathbf{x}_n+\text{RK4}\!\left(f,\mathbf{x}_n,\Delta t\right).$$