Work

Computer-Assisted Proofs of Hopf Bubbles and Degenerate Hopf Bifurcations

Year: 2023

Type: article

Abstract: We present a computer-assisted approach to prove the existence of Hopf bubbles and degenerate Hopf bifurcations in ordinary and delay differential equations. We apply the method to rigorously investigate these nonlocal orbit structures in the FitzHugh-Nagumo equation, the extended Lorenz-84 model and a time-delay SI model.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-023-10279-x

Authors: Kevin Church, Elena Queirolo

Institutions: Université de Montréal, Technical University of Munich

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890

Funders: Simons Foundation, Deutsche Forschungsgemeinschaft