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SUMMARY:Maya Mincheva (Northern Illinois University)
DTSTART:20260507T150000Z
DTEND:20260507T153000Z
DTSTAMP:20260512T071819Z
UID:MoRN/148
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/148/">T
 uring instability for multi-species reaction networks</a>\nby Maya Minchev
 a (Northern Illinois University) as part of Seminar on the Mathematics of 
 Reaction Networks\n\n\nAbstract\nSince Alan Turing's seminal 1952 work\, d
 iffusion-driven instability has provided a fundamental mechanism for patte
 rn formation\, whereby a stable spatially uniform equilibrium becomes unst
 able in the presence of diffusion\, leading to spatially inhomogeneous ste
 ady states.\n\nFor two-species reaction networks\, conditions for Turing i
 nstability are well understood\, typically requiring an activator–inhibi
 tor structure with a sufficiently large diffusion ratio. However\, general
  criteria for the emergence of Turing instabilities in networks with more 
 than two species remain incompletely characterized.\n\nWe consider reactio
 n networks with an arbitrary number of species and derive conditions under
  which Turing instabilities arise. Examples illustrating instabilities dri
 ven by a real eigenvalue crossing and by a complex conjugate pair will be 
 presented.\n
LOCATION:https://researchseminars.org/talk/MoRN/148/
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