Topology-induced dynamics in a network of synthetic oscillators with piecewise affine approximation

DOI10.1063/5.0020670zbMath1451.92145OpenAlexW3102713018WikidataQ103824603 ScholiaQ103824603MaRDI QIDQ5140897

No author found.

Publication date: 17 December 2020

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

Full work available at URL: https://hal.inria.fr/hal-03105513/file/FirippiChaves-Chaos2020-authorWebVersion-july.pdf

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Systems biology, networks (92C42)

Related Items (2)

Signal approximations based on nonlinear and optimal piecewise affine functions ⋮ Limit cycle analysis of a class of hybrid gene regulatory networks

Cites Work

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• Simulation of circadian rhythm generation in the suprachiasmatic nucleus with locally coupled self-sustained oscillators
• Synchronization of biological clock cells with a coupling mediated by the local concentration of a diffusing substance
• Piecewise-linear models of genetic regulatory networks: equilibria and their stability
• Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics

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