Synchronizing Hindmarsh–Rose neurons over Newman–Watts networks

DOI10.1063/1.3157215zbMath1317.92011OpenAlexW2029290707WikidataQ48834662 ScholiaQ48834662MaRDI QIDQ5264289

Mahdi Jalili

Publication date: 27 July 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3157215

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

Spike phase synchronization in multiplex cortical neural networks ⋮ Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks ⋮ Synchronized nonlinear patterns in electrically coupled Hindmarsh-Rose neural networks with long-range diffusive interactions ⋮ Stability of the synchronized network of Hindmarsh-Rose neuronal models with nearest and global couplings ⋮ How single node dynamics enhances synchronization in neural networks with electrical coupling

Cites Work

• Renormalization group analysis of the small-world network model
• Connection graph stability method for synchronized coupled chaotic systems
• Discriminating differing types of synchrony in neural systems
• Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
• The Structure and Function of Complex Networks
• Community structure in social and biological networks
• Bursting characteristics of a neuron model based on a concept of potential with active areas
• Collective dynamics of ‘small-world’ networks
• Enhancing synchronizability of dynamical networks using the connection graph stability method

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