- Title
- Oscillations in low-dimensional cyclic differential delay systems
- Creator
- Ivanov, Anatoli,; Dzalilov, Zari
- Date
- 2018
- Type
- Text; Conference paper
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/184098
- Identifier
- vital:16420
- Identifier
-
https://doi.org/10.1007/978-3-319-99719-3_54
- Identifier
- ISBN:21941009 (ISSN); 9783319997186 (ISBN)
- Abstract
- Nonlinear autonomous N-dimensional systems of cyclic differential equations with delays and overall negative feedback are considered. Such systems serve as mathematical models of numerous real world phenomena in physics and laser optics, physiology and mathematical biology, economics and life sciences among others. In the case of lower dimensions and sufficient conditions are derived for the oscillation of all solutions about the unique equilibrium. Open problems and conjectures are discussed for the higher dimensional case and for more convoluted sign feedbacks. © 2018, Springer Nature Switzerland AG.
- Publisher
- Springer New York LLC
- Relation
- International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017, Waterloo, Canada, August 20–25, 2017 Vol. 259, p. 603-613
- Rights
- All metadata describing materials held in, or linked to, the repository is freely available under a CC0 licence
- Rights
- Copyright @ Springer Nature Swtzerland AG 2018
- Rights
- Open Access
- Subject
- Cyclic systems; Differential delays equations; Oscillatory solutions; Overall negative feedback; Unique equilibrium
- Full Text
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