We investigate the impact of cyclic competition on pattern formation in the rock-paper-scissors game. By separately considering random and prepared initial conditions, we observe a critical influence of the competition rate p on the stability of spiral waves and on the emergence of biodiversity. In particular, while increasing values of p promote biodiversity, they may act detrimentally on spat...

We present a comprehensive study of pattern formation in single-field relaxational systems with field-dependent coefficients. A modulated mean-field theory leads to a form amenable to analysis via the geometric architecture developed in our earlier work for systems that exhibit phase transitions between global steady states [Phys. Rev. E 69, 011102 (2004)]. We demonstrate that the phase diagram...

This article publicly releases 3D reconstructions of the local Universe gravitational field below z = 0.8 that were computed using CosmicFlows-4 (CF4) catalog 56 000 galaxy distances and its subsample 1008 supernovae distances. The also provides measurements growth rate structure pairwise correlation radial peculiar velocities fσ 8 0.38(±0.04) (ungrouped CF4), 0.36(±0.05) (grouped 0.30(±0.06) (...