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SUMMARY:Polynomial dynamical systems and reaction networks: persistence an
d global attractors - Professor Gheorghe Craciun (Department of Mathemati
cs and Department of Biomolecular Chemistry\, University of Wisconsin-Madi
son)
DTSTART;VALUE=DATE-TIME:20240426T140000
DTEND;VALUE=DATE-TIME:20240426T150000
UID:https://talks.ox.ac.uk/talks/id/4db33b0f-4b71-4d8a-b7c3-5c24cd4e4d4a/
DESCRIPTION:The mathematical analysis of global properties of polynomial d
ynamical systems can be very challenging (for example: the second part of
Hilbert’s 16th problem about polynomial dynamical systems in 2D\, or the
analysis of chaotic dynamics in the Lorenz system).\nOn the other hand\,
any dynamical system with polynomial right-hand side can essentially be re
garded as a model of a reaction network. Key properties of reaction system
s are closely related to fundamental results about global stability in cla
ssical thermodynamics. For example\, the Global Attractor Conjecture can b
e regarded as a finite dimensional version of Boltzmann’s H-theorem. We
will discuss some of these connections\, as well as the introduction of to
ric differential inclusions as a tool for proving the Global Attractor Con
jecture.\nWe will also discuss some implications for the more general Pers
istence Conjecture (which says that solutions of weakly reversible systems
cannot "go extinct")\, as well as some applications to biochemical mechan
isms that implement cellular homeostasis. \n\nSpeakers:\nProfessor Gheorgh
e Craciun (Department of Mathematics and Department of Biomolecular Chemis
try\, University of Wisconsin-Madison)
LOCATION:Mathematical Institute (L3)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/4db33b0f-4b71-4d8a-b7c3-5c24cd4e4d4a/
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DESCRIPTION:Talk:Polynomial dynamical systems and reaction networks: persi
stence and global attractors - Professor Gheorghe Craciun (Department of
Mathematics and Department of Biomolecular Chemistry\, University of Wisco
nsin-Madison)
TRIGGER:-PT1H
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