Rank of Stably Dissipative Graphs

Details Rank of Stably Dissipative Graphs Rank of Stably Dissipative Graphs

2011-04-04

arxiv.org/abs/1104.0600v3

Mathematics

Dynamical Systems

Scientific paper

For the class of stably dissipative Lotka-Volterra systems we prove that the
rank of its defining matrix, which is the dimension of the associated invariant
foliation, is completely determined by the system's graph.

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