Topics from One-Dimensional Dynamics
From MaRDI portal
Publication:4828539
DOI10.1017/CBO9780511617171zbMath1074.37022MaRDI QIDQ4828539
Publication date: 22 November 2004
Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Universality and renormalization of dynamical systems (37E20) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Related Items
The strange star product, Large deviation principle for piecewise monotonic maps with density of periodic measures, Polynomial entropy for interval maps and lap number, L.A.S. and negative Schwarzian derivative do not imply G.A.S. in Clark's equation, Continuous unimodal maps in economic dynamics: on easily verifiable conditions for topological chaos, Omega-limit sets for shift spaces and unimodal maps, Properties of invariant measures in dynamical systems with the shadowing property, The space of ω-limit sets of piecewise continuous maps of the interval, Uniformly recurrent sequences and minimal Cantor omega-limit sets, Renormalization of two-dimensional piecewise linear maps: abundance of 2-D strange attractors, β -expansion attractors observed in A/D converters, Countable limit sets of unimodal maps, Unimodal maps as boundary restrictions of two-dimensional full-folding maps, Adding machines, kneading maps, and endpoints, Density of periodic measures and large deviation principle for generalised mod one transformations, Splitting and coexistence of 2-D strange attractors in a general family of Expanding Baker Maps, Strictly invariant sets for 2-D tent maps: 2-D strange attractors, Mixing properties in expanding Lorenz maps, Shadowing, asymptotic shadowing and s-limit shadowing, Zero entropy systems, Homeomorphisms on minimal Cantor sets in the unimodal setting, The \(\omega \)-limit function on dendrites, A characterization of unimodal maps with embedded adding machines, Complicated Dynamics and Parametric Restrictions in the Robinson-Solow-Srinivasan (RSS) Model, A study of the attractor of a \(\varphi\)-\(\max\)-IFS via a relatively new method, Topological conjugacy for multifunctions with finitely many set-valued points and an application to iterative roots, A topological classification for piecewise monotone iterative roots, Thermodynamic formalism for interval maps: inducing schemes, Existence of pure-strategy equilibria in Bayesian games: a sharpened necessity result, Topological semi-conjugacies between adding machines, Equilibrium states for interval maps: potentials with \(\sup\varphi- \inf\varphi<h_{\mathrm{top}}(f)\), Renormalizable expanding Baker maps: coexistence of strange attractors, Products and decompositions of adding machines, The complexity of Fibonacci-like kneading sequences, Invariant measures of minimal post-critical sets of logistic maps, Natural equilibrium states for multimodal maps, Topological transitivity for a class of monotonic mod one transformations, Topological pressure for nonautonomous systems, Expansions in multiple bases, A topological classification ofD-dimensional cellular automata, On the density of periodic measures for piecewise monotonic maps and their coding spaces, Folding points of unimodal inverse limit spaces, On the commutativity of coset pressure, Fair measure and fair entropy for non-Markov interval maps, Kneading sequences of strange adding machines, Adding machines and endpoints, Topological properties of Lorenz maps derived from unimodal maps, The \(\alpha \)-limit sets of a unimodal map without homtervals, Hofbauer towers and inverse limit spaces, Topological entropy of transitive maps of the interval, Thick hyperbolic repelling invariant Cantor sets and wild attractors, ON THE EVENTUAL PERIODICITY OF PIECEWISE LINEAR CHAOTIC MAPS
