# All-to-all chaos synchronization in a network of networks: One of the simplest cases

## TL;DR

This paper investigates all-to-all chaos synchronization in a network of networks using the Ikeda model, deriving conditions for stability and validating findings through simulations, with implications for system output and information processing.

## Contribution

It presents the first analytical conditions for all-to-all chaos synchronization in a simple network of networks based on the Ikeda model.

## Key findings

- Derived stability conditions for chaos synchronization
- Validated analytical results with numerical simulations
- Potential applications in high-level system output and information processing

## Abstract

We report on all- to- all chaos synchronization in a network of networks based on the Ikeda model. We consider one of the simplest cases. We find the existence and stability conditions for such a synchronization regime. Numerical simulations validate the analytical findings. The results can be of certain importance in achieving high level output for the coupled systems and information processing.