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nlin.PS2025★ 57 cited
Subcritical Turing bifurcation and the morphogenesis of localised patterns
Víctor Breña-Medina, Alan Champneys
Subcritical Turing bifurcations of reaction-diffusion systems in large domains lead to spontaneous onset of well-developed localised patterns via the homoclinic snaking mechanism.…
nlin.PS2025
From Snaking to Isolas: A One-Active-Site Approximation in Discrete Optical Cavities
R. Kusdiantara, H. Susanto, A. R. Champneys
We investigate time-independent solutions of a discrete optical cavity model featuring saturable Kerr nonlinearity, a discrete version of the Lugiato-Lefever equation. This model s…