Synchronization on the accuracy of chaotic oscillators simulations

TL;DR

This paper investigates how synchronization in chaotic oscillators influences numerical simulation accuracy, using the Lower Bound Error index across different coupled systems, revealing that synchronization impacts numerical calculations.

Contribution

It introduces an analysis of synchronization effects on numerical accuracy in chaotic systems using the Lower Bound Error index across multiple case studies.

Findings

Synchronization affects numerical calculation accuracy in chaotic oscillators.

The LBE curve behavior aligns between master and slave systems as coupling increases.

Numerical errors are influenced by the degree of synchronization.

Abstract

Numerical problems are considered on general synchronization of chaotic oscillators, through the evaluation of the Lower Bound Error index on two case studies: a Lorenz system unidirectionally coupled to a Duffing system and a Duffing system unidirectionally coupled to a Rossler system. It was possible to observe, in each case, that the behavior of the slave's LBE curve tends to follow the behavior of the master's as the value of the coupling constant is increased up to a certain value, and thus, that synchronization can affect numerical calculations.