Outer Topology Network Synchronization Using Chaotic Nodes with Hidden Attractors

Abstract

This paper addresses the synchronization problem in outer topology networks using chaotic nodes with hidden attractors. Specifically, we analyze bidirectionally coupled networks with various inner–outer coupling topologies to identify the optimal configuration that encourages outer synchronization. The inner–outer coupled networks incorporate a chaotic system capable of generating hidden attractors. To assess the stability of the synchronization state, we conduct numerical simulations and examine the maximum Lyapunov exponent of the generic variational equations. Our results reveal the most suitable bidirectional inner–outer coupling network topology for achieving outer synchronization.

Keywords

• outer synchronization
• inner–outer topology
• master stability function
• chaos
• hidden attractors