155 citations · 542 across the 36 of their papers we have counts for
3 papers · 2 filters
Combinatorial Representation of Parameter Space for Switching Systems
Bree Cummins, Tomas Gedeon, Shaun Harker +2
We describe the theoretical and computational framework for the Dynamic Signatures for Genetic Regulatory Network (DSGRN) database. The motivation stems from urgent need to underst…
Discretization strategies for computing Conley indices and Morse decompositions of flows
Konstantin Mischaikow, Marian Mrozek, Frank Weilandt
Conley indices and Morse decompositions of flows can be found by using algorithms which rigorously analyze discrete dynamical systems. This usually involves integrating a time disc…
Global Dynamics for Steep Sigmoidal Nonlinearities in Two Dimensions
Tomas Gedeon, Shaun Harker, Hiroshi Kokubu +2
We introduce a novel approach to obtaining mathematically rigorous results on the global dynamics of ordinary differential equations. Motivated by models of regulatory networks, we…