Andronov-Hopf bifurcation for some nonlinear delay equations

Andrey Akinshin · 2013

Abstract

We study the occurrence of Andronov-Hopf bifurcation cycles in a neighborhood of stationary points of nonlinear delay equations: we formulate conditions for the existence of a bifurcation, find the bifurcation values, and analyze the stability of the bifurcation cycles.

Reference

A A Akinshin “Andronov-Hopf bifurcation for some nonlinear delay equations” (2013)

@Article{akinshin2013sjim_a,
  abstract = {We study the occurrence of Andronov-Hopf bifurcation cycles in a neighborhood of stationary points of nonlinear delay equations: we formulate conditions for the existence of a bifurcation, find the bifurcation values, and analyze the stability of the bifurcation cycles.},
  address = {Novosibirsk},
  author = {Akinshin, A A},
  journal = {Sibirskii Zhurnal Industrial'noi Matematiki [Siberian Journal of Industrial Mathematics]},
  custom-tags = {Vak},
  language = {russian},
  number = {55},
  pages = {3--15},
  title = {Andronov-Hopf bifurcation for some nonlinear delay equations},
  url = {http://elibrary.ru/item.asp?id=20379316 http://www.mathnet.ru/php/archive.phtml?wshow=paper\&jrnid=sjim\&paperid=788\&option\_lang=eng},
  volume = {XVI},
  year = {2013}
}