Electronic implementation of a dynamical network with nearly identical hybrid nodes via unstable dissipative systems

TL;DR

This paper presents a circuit-based implementation of a dynamical network using hybrid chaotic oscillators based on Unstable Dissipative Systems, enabling experimental study of synchronization and network behavior considering component tolerances.

Contribution

It introduces a novel circuit architecture for a dynamical network with hybrid chaotic nodes and analyzes its synchronization properties both numerically and experimentally.

Findings

Successful experimental implementation of the network

Synchronization behavior observed despite component mismatches

Theoretical and numerical analysis aligns with experimental results

Abstract

A circuit architecture is proposed and implemented for a dynamical network composed of a type of hybrid chaotic oscillator based on Unstable Dissipative Systems (UDS). The circuit architecture allows selecting a network topology with its link attributes and to study, experimentally, the practical synchronous collective behavior phenomena. Additionally, based on the theory of dynamical networks, a mathematical model of the circuit was described, taking into account the natural tolerance of the electronic components. The network is analyzed both numerically and experimentally according to the parameters mismatch between nodes.