# Incoherence-Mediated Remote Synchronization

## TL;DR

This paper introduces incoherence-mediated remote synchronization (IMRS), a novel network phenomenon where two distant parts synchronize despite incoherent intermediate dynamics, with implications for neural processing and secure communication.

## Contribution

The study identifies mirror symmetry as a key mechanism enabling IMRS and demonstrates its robustness against noise and parameter variations.

## Key findings

- IMRS involves two parts synchronizing with incoherent intermediate dynamics.
- Mirror symmetry in network structure facilitates IMRS.
- IMRS is robust to noise and parameter changes.

## Abstract

In previously identified forms of remote synchronization between two nodes, the intermediate portion of the network connecting the two nodes is not synchronized with them but generally exhibits some coherent dynamics. Here we report on a network phenomenon we call incoherence-mediated remote synchronization (IMRS), in which two non-contiguous parts of the network are identically synchronized while the dynamics of the intermediate part is statistically and information-theoretically incoherent. We identify mirror symmetry in the network structure as a mechanism allowing for such behavior, and show that IMRS is robust against dynamical noise as well as against parameter changes. IMRS may underlie neuronal information processing and potentially lead to network solutions for encryption key distribution and secure communication.