Typical trajectories of coupled degrade-and-fire oscillators: from dispersed populations to massive clustering

DOI10.1007/s00285-013-0680-8zbMath1300.92013OpenAlexW2056295719WikidataQ37381495 ScholiaQ37381495MaRDI QIDQ2249667

Lev S. Tsimring, Bastien Fernandez

Publication date: 3 July 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3858518

zbMATH Keywords

coupled oscillatorsrandom initial conditionsextensive clustering

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Biological rhythms and synchronization (92B25)

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Asymptotic periodicity in networks of degrade-and-fire oscillators, Oscillating systems with cointegrated phase processes, Population dynamics of globally coupled degrade-and-fire oscillators, Mean-field coupled systems and self-consistent transfer operators: a review, Clusters Tend to Be of Equal Size in a Negative Feedback Population Model of Cell Cycle Dynamics, Universality of stable multi-cluster periodic solutions in a population model of the cell cycle with negative feedback, Existence of physical measures in some excitation–inhibition networks*

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