The folder contains a basic analysis for the main examples of Dynamical systems (discrete and continuos), as

1. Logistic Map: one-dimensional discrete map $x_{n+1} = r x_n (1-x_n)$.
2. Henon Map: two-dimensional discrete map $x_{n+1}= 1 + y_n - a^2 x_n$, $y_{n+1} = b x_n$.
3. Lotka-Volterra Model: two-dimensional continuos model, describing predator-prey dynamics, $\dot{x} = K_x x (1-y)$, $\dot{y} = -K_y y (1 - x)$.
4. Lorenz Model: three-dimensional continuos model $\dot{x} = \sigma(y-x)$, $\dot{y} = rx - y - xz$, $\dot{z} = xy - bz$.
5. In Other Dynamical Systems could be found others model, i.e. Standard Map.m.

Additionally, in the folder are some examples of Synchronization phenomena for coupled chaotic maps:

1. Synchronization of coupled map in (1+1)-dimension lattice.
2. Spatio-Temporal synchronization of coupled maps in (2+1)-dimension lattice. Typical chaotic maps used are Bernoulli map $f(x) = 2x \ \text{mod}(1)$ and Tend map ($f(x) = ax$ if $x \in [0,1/2]$ or $f(x) = a(1-x)$ if $x\in(1/2,1]$).