@inproceedings{5c8247f20359456492e88aaf43951655,
title = "Oscillations in Low-Dimensional Cyclic Differential Delay Systems",
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.",
author = "Ivanov, {Anatoli F.} and Dzalilov, {Zari A.}",
note = "Funding Information: Acknowledgements This work was initiated in the fall 2016 during A. Ivanov{\textquoteright}s visit and research stay at the University of Giessen, Germany, under the support of the Alexander von Humboldt Stiftung. In its final stages and during the preparation for publication A. Ivanov and Z. Dzalilov were supported by internal grants from the Federation University Australia (Ballarat, Victoria). Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.; International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 ; Conference date: 20-08-2017 Through 25-08-2017",
year = "2018",
doi = "10.1007/978-3-319-99719-3_54",
language = "English (US)",
isbn = "9783319997186",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "603--613",
editor = "Herb Kunze and Kilgour, {D. Marc} and Roman Makarov and Roderick Melnik and Xu Wang",
booktitle = "Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference",
}