Pulses of chaos synchronization in coupled map chains with delayed transmission

TL;DR

This paper analyzes how pulses of chaos synchronization propagate in coupled map chains with delays, revealing that the speed difference limits the maximum chain length for reliable information transmission.

Contribution

It provides an analytical framework for understanding synchronization pulses in delayed coupled map chains and quantifies the maximum chain length for information transfer.

Findings

Synchronization and desynchronization propagate at different velocities.

The front of synchronization travels slower than the front of desynchronization.

Maximum chain length for information transmission is bounded by these velocity differences.

Abstract

Pulses of synchronization in chaotic coupled map lattices are discussed in the context of transmission of information. Synchronization and desynchronization propagate along the chain with different velocities which are calculated analytically from the spectrum of convective Lyapunov exponents. Since the front of synchronization travels slower than the front of desynchronization, the maximal possible chain length for which information can be transmitted by modulating the first unit of the chain is bounded.