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math.DS2023
Symmetry Groupoids for Pattern-Selective Feedback Stabilization of the Chafee--Infante Equation
Isabelle Schneider, Jia-Yuan Dai
Reaction-diffusion equations are ubiquitous in various scientific domains and their patterns represent a fascinating area of investigation. However, many of these patterns are unst…
math.DS2016
On the Roots of Characteristic Equations of Delay Differential Systems
Jia-Yuan Dai
We prove that characteristic equations of certain types of delay differential systems, under some mild conditions on their coefficients, can possess infinitely many complex roots.