The Poincare-Bendixson theorem for monotone cyclic feedback systems
- 1 October 1990
- journal article
- research article
- Published by Springer Nature in Journal of Dynamics and Differential Equations
- Vol. 2 (4) , 367-421
- https://doi.org/10.1007/bf01054041
Abstract
No abstract availableKeywords
This publication has 35 references indexed in Scilit:
- Jacobi matrices and transversalityProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1988
- Oscillations and multiple steady states in a cyclic gene model with repressionJournal of Mathematical Biology, 1987
- Stability of periodic solutions for a model of genetic repression with delaysJournal of Mathematical Biology, 1985
- Existence of periodic orbits of autonomous ordinary differential equationsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1980
- Delays in physiological systemsJournal of Mathematical Biology, 1979
- The Poincaré–Bendixson theorem for certain differential equations of higher orderProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1979
- A global stability criterion for simple control loopsJournal of Mathematical Biology, 1977
- Existence of periodic solutions of a nerve equationBiological Cybernetics, 1976
- On the existence of oscillatory solutions in negative feedback cellular control processesJournal of Mathematical Biology, 1975
- Gestaltaussagen über Lösungen parabolischer Differentialgleichungen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1962