Sliding Hopf bifurcation in interval systems
Dynamical Systems
2015-07-31 v1 Optimization and Control
Abstract
In this paper, the equivariant degree theory is used to analyze the occurrence of the Hopf bifurcation under effectively verifiable mild conditions. We combine the abstract result with standard interval polynomial techniques based on Kharitonov's theorem to show the existence of a branch of periodic solutions emanating from the equilibrium in the settings relevant to robust control. The results are illustrated with a number of examples.
Cite
@article{arxiv.1507.08596,
title = {Sliding Hopf bifurcation in interval systems},
author = {E. Hooton and Z. Balanov and W. Krawcewicz and D. Rachinskii},
journal= {arXiv preprint arXiv:1507.08596},
year = {2015}
}
Comments
22 pages