Chaos and continued fractions

DOI10.1016/0167-2789(90)90038-QzbMath0723.58037OpenAlexW2091865481MaRDI QIDQ756821

G. W. Frank, J. Graham Monroe, Robert M. Corless

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90038-q

zbMATH Keywords

fixed pointsLyapunov exponentsdimensionGauss mapperiodic pointschaotic dynamical systemaperiodic pointsfloating-point

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

Chaos in the Einstein equations ⋮ What good are numerical simulations of chaotic dynamical systems? ⋮ Numeration and discrete dynamical systems ⋮ Cramér distance and discretizations of circle expanding maps II: simulations ⋮ Circumscribed ellipsoid algorithm for fixed-point problems ⋮ The digital tent map and the trapezoidal map ⋮ Gauss map and Lyapunov exponents of interacting particles in a billiard

Cites Work

• Number theory in science and communication. With applications in cryptography, physics, biology, digital information, and computing
• Chaos in numerical analysis of ordinary differential equations
• Central difference scheme and chaos
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Period Three Implies Chaos
• Sur quelques courbes fermées remarquables
• Efficient Computation of the Complex Error Function
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