Cluster synchronization of diffusively coupled nonlinear systems: a contraction-based approach

DOI10.1007/s00332-018-9457-yzbMath1466.37067arXiv1707.00748OpenAlexW2727898040MaRDI QIDQ2022718

Naomi Ehrich Leonard, Zahra Aminzare, Elizabeth N. Davison, Biswadip Dey

Publication date: 29 April 2021

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

Full work available at URL: https://arxiv.org/abs/1707.00748

zbMATH Keywords

cluster synchronizationneuronal oscillatorscontraction theory for stabilitydiffusively coupled nonlinear networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Approximation methods and numerical treatment of dynamical systems (37M99) Synchronization of solutions to ordinary differential equations (34D06)

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Cites Work

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• Clustering in diffusively coupled networks
• Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems
• Stable concurrent synchronization in dynamic system networks
• Stability theory and the existence of periodic solutions and almost periodic solutions
• On contraction analysis for non-linear systems
• The logarithmic norm. History and modern theory
• On partial contraction analysis for coupled nonlinear oscillators
• Convergent dynamics, a tribute to Boris Pavlovich Demidovich
• Dynamics of the finite-dimensional Kuramoto model: global and cluster synchronization
• A Graph Partitioning Approach to Predicting Patterns in Lateral Inhibition Systems
• Synchronization of Pulse-Coupled Biological Oscillators
• On Stability in the Large for Systems of Ordinary Differential Equations
• Stable Synchronization of Mechanical System Networks
• Designing the Dynamics of Globally Coupled Oscillators
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Graph partitions and cluster synchronization in networks of oscillators
• Approximate cluster synchronization in networks with symmetries and parameter mismatches
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Stabilization of Planar Collective Motion With Limited Communication
• Cluster synchronization in oscillatory networks
• Cluster synchronization in community networks with nonidentical nodes
• Cluster synchronization in networks of coupled nonidentical dynamical systems
• Contraction analysis of non-linear distributed systems
• Metric Properties of Differential Equations

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