Construction of the Jordan basis for the Baker map

DOI10.1063/1.166226zbMath0938.37008OpenAlexW2078805050WikidataQ52262240 ScholiaQ52262240MaRDI QIDQ4935808

Ronald F. Fox

Publication date: 17 January 2000

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

Full work available at URL: http://ojps.aip.org/journal_cgi/getabs?KEY=CHAOEH&cvips=CHAOEH000007000002000254000001&gifs=Yes

zbMATH Keywords

spectral decompositionbaker mapBernoulli mapFrobenius-Perron evolution operatorinvertible chaotic mapJordan states

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (3)

Generalized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical Systems ⋮ An analytical construction of the SRB measures for Baker-type maps ⋮ Entropy evolution for the Baker map

Cites Work

• The differential zeta function for axiom A attractors
• r-adic one-dimensional maps and the Euler summation formula
• Unstable evolution of pointwise trajectory solutions to chaotic maps
• Memory Effects in Irreversible Thermodynamics

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