The Hopf bifurcation with bounded noise

Authors
Publication date 2012
Journal Discrete and Continuous Dynamical Systems (DCDS) - Series A
Volume | Issue number 32 | 8
Pages (from-to) 2997-3007
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. We observe that when an ordinary differential equation that undergoes a Hopf bifurcation is subjected to bounded noise then the bifurcation that occurs involves a discontinuous change in the Minimal Forward Invariant set.
Document type Article
Language English
Published at https://doi.org/10.3934/dcds.2012.32.2997
Permalink to this page
Back