# Dragon Notes

UNDER CONSTRUCTION
Latest content:
 Apr 05 Deep Learning Mar 19 Anomaly Detection - ML Mar 13 +Data Tables Mar 08 Clustering - Machine Learning Feb 28 Support Vector Machines - ML Feb 20 Regression - Data Science

# Nonlinear Dynamics & Chaos:Key Relations

\ds \boxed{\begin{align} \dot{x} &= ax+by \\ \dot{y} &= cx+dy \end{align}}
$$\dsup \boxed{\bn{\dot{x}}=A\bn{x}}$$
[1][Two-dimensional linear system]
- $$\vplup \bn{x^*}=\bn{0}$$ is always a fixed point
- Uncoupled systems: no $$x$$ in $$\dot{y}$$ and vice versa; ex: $$\ \ \dot{x}=ax,\ \dot{y}=-y$$