57 citations · 57 across the 1 of their papers we have counts for
2 papers
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.…
math.DS2024
Multiple Local and Global Bifurcations and Their Role in Quorum Sensing Dynamics
Mariana Harris, Viviana Rivera-Estay, Pablo Aguirre +1
Quorum sensing governs bacterial communication, playing a crucial role in regulating population behaviour. We propose a mathematical model that uncovers chaotic dynamics within quo…