Normalizable , Integrable and Linearizable Saddle Points in the Lotka-Volterra System *

@inproceedings{Christopher2006NormalizableI,
  title={Normalizable , Integrable and Linearizable Saddle Points in the Lotka-Volterra System *},
  author={Colin Christopher},
  year={2006}
}
with λ a non negative number. Our aim is to understand the mechanisms which lead to the origin being linearizable, integrable or normalizable. In the case of integrability and linearizability, there is a natural dichotomy. When the system has an invariant line other than the axes, then the system is integrable and we give necessary and sufficient conditions for linearizability in this case. When there is no such line, then the conditions for linearizability and integrability are the same. In… CONTINUE READING
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