# Coupled Logistic Map: A Review and Numerical facts

## TL;DR

This paper reviews theoretical results on invariant curves in coupled logistic maps and presents computational simulations that illustrate the system's complex dynamics.

## Contribution

It provides a survey of key theoretical findings and visualizes the complex behavior of coupled logistic maps through numerical simulations.

## Key findings

- Existence of positively invariant curves in coupled logistic maps
- Complex dynamical behavior revealed by computational figures
- Insights into the structure of bounded orbits and their boundaries

## Abstract

This paper has a double goal, the first one is to make a slight survey of some theoretical results about the existence of positively invariant curves that allow to describe important properties of the set of bounded orbits and its boundary in the context of coupled logistic map. The second goal, in the same context, is to show a collection of figures obtained from computational simulation that reveal the complexity of that dynamical systems.