Unstable evolution of pointwise trajectory solutions to chaotic maps

DOI10.1063/1.166132zbMath1055.37538OpenAlexW2067920682WikidataQ52321482 ScholiaQ52321482MaRDI QIDQ4526343

Ronald F. Fox

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0f45c1c2eaefd84e9193f38dc1ddb16f9ad152f7

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (4)

Using symmetries of the Frobenius-Perron operator to determine spectral decompositions. ⋮ Construction of the Jordan basis for the Baker map ⋮ Spectrum of the Frobenius-Perron operator for systems with stochastic perturbation ⋮ Spectral decomposition of the tent map with varying height

Cites Work

• Unnamed Item
• Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map
• Recycling of strange sets: I. Cycle expansions
• r-adic one-dimensional maps and the Euler summation formula
• On the Quantum Correction For Thermodynamic Equilibrium
• Controlling chaos
• Effect of molecular fluctuations on the description of chaos by macrovariable equations
• Amplification of intrinsic fluctuations by the Lorenz equations

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