Abstract

Firstly, canards in $R^{1+2}$, that is, the slow vector field has 1-dimension and the fast vector field has 2-dimension, will be discussed. This was done last year in Barcelona with Jaume Llibre and Jean-Marc Ginoux.

Secondarily, canards in $R^{1+3}$ will be introduced. In this case, an efficient local model should be constructed newly.

Furthermore, canards in $R^{3+1}$ also should be analyzed.