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nlin.PS2025
Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation
Thomas Jun Jewell, Andrew L. Krause, Philip K. Maini +1
Chase-and-run dynamics, in which one population pursues another that flees from it, are found throughout nature, from predator-prey interactions in ecosystems to the collective mot…
nlin.PS2025
Pattern Localisation in the Swift-Hohenberg Equation via Slowly Varying Spatial Heterogeneity
Andrew L. Krause, Václav Klika, Edgardo Villar-Sepúlveda +2
Theories of localised pattern formation are important to understand a broad range of natural patterns, but are less well-understood than more established mechanisms of domain-filli…
nlin.PS2025
Integral Asymptotics, Coalescing Saddles, and Multiple-scales Analysis of a Generalised Swift-Hohenberg Equation
Václav Klika, Mohit P. Dalwadi, Andrew L. Krause +1
Integral asymptotics play an important role in the analysis of differential equations and in a variety of other settings. In this work, we apply an integral asymptotics approach to…