# Synchronization of nonlinearly coupled networks of Chua oscillators

## TL;DR

This paper establishes new sufficient conditions for synchronizing networks of nonlinearly coupled Chua oscillators, linking the nonlinear coupling sector bounds with the network topology.

## Contribution

It introduces novel synchronization criteria for networks with sector-bounded nonlinear coupling, considering the interconnection topology.

## Key findings

- Synchronization conditions depend on sector bounds and network topology.
- Derived criteria ensure oscillator synchronization under specified nonlinear coupling.
- Provides a framework for designing coupled oscillator networks with guaranteed synchronization.

## Abstract

The paper develops new sufficient conditions for synchronization of a network of $N$ nonlinearly coupled Chua oscillators interconnected via the first state coordinate only. The nonlinear coupling strength is governed by a function residing within a sector, i.e. it is bounded from above and below by linear functions. The derived sufficient conditions provide a trade-off between the characteristics of the sector and the interconnection topology of the network to guarantee the synchronization of the oscillators.