On the behaviour of the spectral characteristic of Feigenbaum's map

DOI10.1134/S2070046612040024zbMath1417.37144MaRDI QIDQ1946469

Yanyan Li

Publication date: 15 April 2013

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

thermodynamic formalismspectral measurepure point spectrumscaling behaviorFeigenbaum's map

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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Cites Work

• On Feigenbaum's functional equation gg(lambdax)+lambdag(x)=0
• The transition to aperiodic behavior in turbulent systems
• On the existence of Feigenbaum's fixed point
• A note on the power spectrum of the iterates of Feigenbaum's function
• A computer-assisted proof of the Feigenbaum conjectures
• Feigenbaum universality and the thermodynamic formalism
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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