Computer-assisted proofs of Hopf bubbles and degenerate Hopf bifurcations
K Church, E Queirolo - Journal of Dynamics and Differential Equations, 2023 - Springer
Journal of Dynamics and Differential Equations, 2023•Springer
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.
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.
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.
Springer
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