Measure of solenoidal attractors of unimodal maps of the segment

DOI10.1007/BF01236292zbMath0774.58026MaRDI QIDQ1814629

Alexander M. Blokh, Mikhail Lyubich

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

unit intervalunimodal transformationssolenoidal attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Low-dimensional dynamical systems (37E99) Hausdorff and packing measures (28A78)

Related Items

Measurable dynamics of $S$-unimodal maps of the interval, Measure and dimension of solenoidal attractors of one-dimensional dynamical systems, Dynamics of quadratic polynomials: complex bounds for real maps, Measure of minimal sets of polymodal maps, Unnamed Item

Cites Work

• Limit sets of S-unimodal maps with zero entropy
• Sensitive dependence to initial conditions for one dimensional maps
• Characteristic numbers of 3-manifolds
• Decomposition of dynamical systems on an interval
• Dimension of invariant measures for maps with exponent zero
• Feigenbaum universality and the thermodynamic formalism
• Unnamed Item