Dynamics of Non-polar Solutions to the Discrete Painlev\'e I Equation
Dynamics of Non-polar Solutions to the Discrete Painlev\'e I Equation
This manuscript develops a novel understanding of non-polar solutions of the discrete Painlev\'e I equation (dP1). As the non-autonomous counterpart of an analytically completely integrable difference equation, this system is endowed with a rich dynamical structure. In addition, its non-polar solutions, which grow without bounds as the iteration index $n$ …