title: Determinantal solutions of solvable chaotic systems
abstract: It is shown that two solvable chaotic systems, the arithmetic-harmonic mean (ARM) algorithm and the Ulam-von Neumann (UvN) map, have determinantal solutions. An additional formula for certain determinants and Riccati difference equations play a key role in both cases. Two infinite hierarchies of solvable chaotic systems are presented which have determinantal solutions
keyphrases: determinantal solutions determinants solvable chaotic systems Riccati difference equations arithmetic-harmonic mean algorithm Ulam-von Neumann map Chebyshev polynomial