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Applied and Computational Math Seminar

Computing the Global Dynamics of Parameterized Systems of ODEs

Marcio Gameiro

Location:  Hill 705
Date & time: Tuesday, 28 February 2023 at 11:00AM - 12:00PM

We present a combinatorial topological method to compute the dynamics of a parameterized family of ODEs. A discretization of the state space of the systems is used to construct a combinatorial representation from which recurrent versus non-recurrent dynamics is extracted. Algebraic topology is then used to validate and characterize the dynamics of the system. We will discuss the combinatorial description and the algebraic topological computations and will present applications to the dynamics of gene regulatory networks.

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