Unstable stokes waves
VM Hur, Z Yang - Archive for Rational Mechanics and Analysis, 2023 - Springer
We investigate the spectral instability of a 2 π/κ periodic Stokes wave of sufficiently small
amplitude, traveling in water of unit depth, under gravity. Numerical evidence suggests …
amplitude, traveling in water of unit depth, under gravity. Numerical evidence suggests …
Andronov–Hopf and Bogdanov–Takens bifurcations in a Filippov Hindmarsh–Rose system with switching policy for the slow variable
X Shi, Y Yang, X Dai, C Xiang, Y Feng - Physica D: Nonlinear Phenomena, 2024 - Elsevier
This paper investigates the Andronov–Hopf and Bogdanov–Takens bifurcations in a three-
dimensional Hindmarsh–Rose system with switching dynamics. A switching policy is applied …
dimensional Hindmarsh–Rose system with switching dynamics. A switching policy is applied …
Determination of stable branches of relative equilibria of the -vortex problem on the sphere
K Constantineau, C García-Azpeitia… - arXiv preprint arXiv …, 2023 - arxiv.org
We consider the $ N $-vortex problem on the sphere assuming that all vorticities have equal
strength. We investigate relative equilibria (RE) consisting of $ n $ latitudinal rings which are …
strength. We investigate relative equilibria (RE) consisting of $ n $ latitudinal rings which are …
Computer-assisted proofs of Hopf bubbles and degenerate Hopf bifurcations
K Church, E Queirolo - 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 …
degenerate Hopf bifurcations in ordinary and delay differential equations. We apply the …