2018/06/02 by Sudhanshu Shekhar Chaurasia, Sudeshna Sinha · 4 citations
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Chaotic #Control theory (sociology) #Controllability #Coupling (piping) #Measure (data warehouse) #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Steady state (chemistry) #Synchronization (alternating current) #Synchronization of chaos #Topology (electrical circuits) #nlin.CD
paper · pdf · doi:10.1209/0295-5075/125/50006
published in Europhysics Letters (EPL) 125(5), 50006 (Institute of Physics)
arxiv created 2018/06/02 · openalex created_date 2018/06/13 · openalex publication_date 2019/04/17 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/05
We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to all the oscillators in the network. We find that coupling to one such dissimilar external system manages to suppress the chaotic dynamics of all the oscillators at all levels of the network, at sufficiently high coupling strength. The chaos suppression is independent of the system size and occurs irrespective of whether the connection to the external system is direct, or indirect through oscillators at another level in the hierarchy. Though the steady states vary across different tiers, the oscillators are synchronized to the same steady state at a particular level of hierarchy. Lastly, we quantify the efficacy of control by estimating a global stability measure analogous to the basin stability of the emergent steady state. Our quantitative results explicitly indicate the easy controllability of hierarchical networks of chaotic oscillators by one dissimilar chaotic system, thereby suggesting a potent method that may help design control strategies.