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math.DS2022
Classification of Codimension-1 Singular Bifurcations in Low-dimensional DAEs
Ivan Ovsyannikov, Haibo Ruan
The study of bifurcations of differential-algebraic equations (DAEs) is the topic of interest for many applied sciences, such as electrical engineering, robotics, etc. While some o…
math.DS2021★ 5 cited
Synchrony in Gene Regulatory Networks
Manuela Aguiar, Ana Dias, Haibo Ruan
We consider two mathematical dynamical models of gene regulatory networks (GRNs) and obtain results on robust synchronization on these dynamical models based on the existing theore…
math.DS2020★ 1 cited
Reduced Lattices of Synchrony Subspaces and their Indices
Hiroko Kamei, Haibo Ruan
For a regular coupled cell network, synchrony subspaces are the polydiagonal subspaces that are invariant under the network adjacency matrix. The complete lattice of synchrony subs…