Modular dynamical systems on networks

DOI10.4171/JEMS/577zbMath1360.37108arXiv1303.3907MaRDI QIDQ907271

Eugene Lerman, Lee DeVille

Publication date: 25 January 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3907

zbMATH Keywords

vibrationsnetworksgraphsmodularitymodular dynamical systems

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Applications of dynamical systems (37N99) Dynamical systems involving maps of trees and graphs (37E25)

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Cites Work

• Chemical oscillations, waves, and turbulence
• Singular perturbation theory of traveling waves in excitable media (A review)
• Collective synchronization of pulse-coupled oscillators and excitable units
• Mathematical physiology
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
• Aubry-Mather theory and periodic solutions of the forced Burgers equation
• Introduction to Dynamical Systems
• Reflected Waves in an Inhomogeneous Excitable Medium
• Differentiable dynamical systems
• Chaos
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