Determinantal solutions of solvable chaotic systems

DOI10.1016/S0377-0427(01)00587-8zbMath1008.65095MaRDI QIDQ1612411

Koichi Kondo, Yoshimasa Nakamura

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

arithmetic-harmonic mean algorithmChebyshev polynomialRiccati difference equationadditional formuladeterminantal solutionsolvable chaotic systemUlam-von Neumann map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Numerical chaos (65P20)

Cites Work

• Determinants and their applications in mathematical physics
• Determinantal solution of the logistic map
• Root determination by use of Padé approximants
• Comments on a root finding method using Padé approximation
• Calculating Laplace Transforms in Terms of the Toda Molecule
• The Toda molecule equation and the 𝜖-algorithm
• Ergodic and Mixing Properties of Chebyshev Polynomials
• Algorithms associated with arithmetic, geometric and harmonic means and integrable systems
• Schur flow for orthogonal polynomials on the unit circle and its integrable discretization
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