Chimera states in ring-star network of Chua circuits

2020/08/05 by Sishu Shankar Muni, Muni, S. S., A. Provata +1 · 5 citations
Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.2008.01907

openalex publication_date 2020/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the emergence of amplitude and frequency chimera states in ring-star networks consisting of identical Chua circuits connected via nonlocal diffusive, bidirectional coupling. We first identify single-well chimera patterns in a ring network under nonlocal coupling schemes. When a central node is added to the network, forming a ring-star network, the central node acts as the distributor of information, increasing the chances of synchronization. Numerical simulations show that the radial coupling strength k between the central and the peripheral nodes acts as an order parameter leading from a lower to a higher frequency domain. The transition between the domains takes place for intermediate coupling values, 0.5

Citations

• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators

Cited by

• Time series analysis of coupled slow-fast neuron models: From Hurst exponent to Granger causality
• Investigations of Complex Systems' Dynamics Based on a Reduced Amount of Information -- Part 3: Dynamical Phenomena Indicator -- The Fastest and Most Universal Approach for Analyzing the Dynamics of Networks of Coupled Nonlinear Systems
• Complexity of Coexistence Regions in the GRHT Map
• Discrete Lorenz Attractors in 3D Sinusoidal Maps
• Effect of Levy noise on the network of coupled Chialvo neurons: Impact of topology

Related

• Scroll ring chimera states in oscillatory networks
• External and mutual synchronization of chimeras in a two layer network of nonlinear oscillators
• Chimeras on a social-type network
• Chimera states formed via a two-level synchronization mechanism
• Chimera states emerging from dynamical trapping in chaotic saddles