Title of article
Determinantal solutions of solvable chaotic systems
Author/Authors
Kondo، نويسنده , , Koichi and Nakamura، نويسنده , , Yoshimasa، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
12
From page
361
To page
372
Abstract
It is shown that two solvable chaotic systems, the arithmetic–harmonic mean (AHM) 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.
Keywords
Solvable chaotic system , Determinantal solution , Additional formula , Riccati difference equation , Chebyshev polynomial
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2002
Journal title
Journal of Computational and Applied Mathematics
Record number
1551842
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