English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Traditional linear stability analysis based on matrix diagonalization is acomputationally intensive $O(n^3)$ process for $n$-dimensional systems ofdifferential equations, posing substantial limitations for the exploration ofTuring systems of pattern formation where an additional wave-number parameterneeds to be investigated. In this study, we introduce an efficient $O(n)$technique that leverages Gershgorin's theorem to determine upper limits onregions of parameter space and the wave number beyond which Turinginstabilities cannot occur. This method offers a streamlined avenue forexploring the phase diagrams of other complex multiparametric models, such asthose found in systems biology.

Upper limits on the robustness of Turing models and other multiparametric dynamical systems