Networked dynamical systems with linear coupling: Synchronisation patterns, coherence and other behaviours

DOI10.1063/1.4826697zbMath1331.34109OpenAlexW1995614456WikidataQ51126705 ScholiaQ51126705MaRDI QIDQ2787887

Kevin Judd

Publication date: 4 March 2016

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

Full work available at URL: https://doi.org/10.1063/1.4826697

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (3)

Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks ⋮ Graph partitions and cluster synchronization in networks of oscillators ⋮ Characterization and Computation of Partial Synchronization Manifolds for Diffusive Delay-Coupled Systems

Cites Work

• Chemical oscillations, waves, and turbulence
• Stable concurrent synchronization in dynamic system networks
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• Shadowing orbits of ordinary differential equations
• A shadowing theorem for ordinary differential equations
• Shadowing pseudo-orbits and gradient descent noise reduction
• Stochastic modelling: replacing fast degrees of freedom by noise
• Stochastic modelling of intermittency
• RIDDLED BASINS
• Cluster synchronization in oscillatory networks
• Nonlinear dynamics of networks: the groupoid formalism
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
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