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Session II.1 - Computational Dynamics

Saturday, June 17, 14:30 ~ 15:00

Computing the Global Dynamics of Parameterized Systems of ODEs

Marcio Gameiro

Rutgers University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

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 systems of ODEs arising from gene regulatory networks.

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