Table 3:

The Strogatz ODE problems.

Name	Target
Bacterial Respiration	$\dot{x}=20-x-\frac{x\cdot y}{1+0.5\cdot x^2}$ $\dot{y}=20-\frac{x\cdot y}{1+0.5\cdot x^2}$
Bar Magnets	$\dot{\theta }=0.5\cdot \text{sin}(\theta -\varphi )-\text{sin}\left(\theta \right)$ $\dot{\varphi }=0.5\cdot \text{sin}(\varphi -\theta )-\text{sin}\left(\varphi \right)$
Glider	$\dot{v}=-0.05\cdot v^2-\text{sin}\left(\theta \right)$ $\dot{\theta }=v-\text{cos}\left(\theta \right)/v$
Lotka-Volterra interspecies dynamics	$\dot{x}=3\cdot x-2\cdot x\cdot y-x^2$ $\dot{y}=2\cdot y-x\cdot y-y^2$
Predator Prey	$\dot{x}=x\cdot \left(4-x-\frac{y}{1+x}\right)$ $\dot{y}=y\cdot \left(\frac{x}{1+x}\right)-0.075\dot{}y$
Shear Flow	$\dot{\theta }=\text{cot}\left(\varphi \right)\cdot cos\left(\theta \right)$ $\dot{\varphi }=\left({\text{cos}}^2\right(\varphi )+0.1\cdot {\text{sin}}^2(\varphi \left)\right)\cdot sin\left(\theta \right)$
van der Pol oscillator	$\dot{x}=10\cdot (y-\frac{1}{3}\cdot (x^3-x\left)\right)$ $\dot{y}=-\frac{1}{10}\cdot x$