Master-Slave Outer Synchronization in Different Inner-Outer Coupling Network Topologies

In this work, the problem of master-slave outer synchronization in different inner-outer network topologies is presented. Specifically, the studied inner-outer network topologies are coupled in master-slave configuration, where some particular scenarios concerning inner-outer topologies are addressed in order to disclose a suitable coupling strength to achieve outer synchronization. The novel MACM chaotic system is used as a node in the coupled networks, which presents robustness in its bifurcation parameters. Extensive numerical simulations are presented where the stability of the inner-outer network topologies is analyzed through a master stability function approach.

Automated summary

This work presents the problem of master-slave outer synchronization in different inner-outer network topologies. It focuses on particular scenarios concerning the topologies to reveal a suitable coupling strength for achieving outer synchronization. The novel MACM chaotic system is employed as a node in the coupled networks, which demonstrates robustness in its bifurcation parameters. Extensive numerical simulations are conducted to analyze the stability of the inner-outer network topologies using a master stability function approach.