Spontaneous oscillations in two 2-component cells coupled by diffusion

DOI10.1007/BF00276957zbMath0588.92002OpenAlexW1970953613WikidataQ52649540 ScholiaQ52649540MaRDI QIDQ1073727

James C. Alexander

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00276957

zbMATH Keywords

limit cyclescoupled oscillatorsHopf bifurcationstationary solutionsNumerical examplesglycolytic oscillationsstable oscillationsdiffuse instabilitiesLefever-Prigogine BrusselatorMathematical examples

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Biophysics (92C05) Singular perturbations of ordinary differential equations (34D15) General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05)

Related Items (7)

Global Hopf bifurcation of two-parameter flows ⋮ Coupling leads to chaos ⋮ Stability analysis of synchronous oscillations in a weakly coupled integrodifferential system ⋮ Periodic attractors as a result of diffusion ⋮ Emergence of Oscillations in Networks of Time-Delay Coupled Inert Systems ⋮ Oscillatory Dynamics for a Coupled Membrane-Bulk Diffusion Model with Fitzhugh--Nagumo Membrane Kinetics ⋮ Regulation of differentiation in a population of cells interacting through a common pool

Cites Work

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• Spatial patterns in coupled biochemical oscillators
• Global Bifurcations of Periodic Orbits

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