Computer-assisted proofs of Hopf bubbles and degenerate Hopf bifurcations

Published 27 Feb 2022 in math.DS, cs.NA, and math.NA | (2202.13326v1)

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 bifurcation structures in the FitzHugh- Nagumo equation, the extended Lorenz-84 model and a time-delay SI model.

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