scientific article; zbMATH DE number 827093

Michał Misiurewicz, Lluís Alsedà, Jaume Llibre

Publication date: 18 December 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

interval maps topological entropy circle maps one-dimensional dynamics forcing relation

Entropy and other invariants (28D20) Entropy in general topology (54C70) Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items

Topological entropy of maps on the real line, On the dynamics of a restricted Cournot-Puu triopoly: firms survival and complexity, On \(q\)-deformed logistic maps, Topological methods in surface dynamics, Entropy, periodicity, and graphs with zero Euler characteristic, Simple permutations with order \(4n+2\) by means of pasting and reversing, A proposal to unify some concepts in the theory of fairness, On topological entropy and topological pressure of non-autonomous iterated function systems, The dynamics of homeomorphisms of hereditarily decomposable chainable continua, Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\), The Structure of Disjoint Iteration Groups on the Circle, A new characterization of periodic oscillations in periodic difference equations, The full periodicity kernel of the trefoil, Chaotic points of multifunctions, Entropy of twist interval maps, Sets of periods for chaotic linear operators, Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations, Supremum topological sequence entropy of circle maps, On entropy of graph maps that give hereditarily indecomposable inverse limits, On Poncelet's maps, On the complexity of economic dynamics: an approach through topological entropy, Periodic Orbits of Planar Integrable Birational Maps, Minimal Cantor Type Sets on Discrete Dynamical Systems, On the topological dynamics and phase-locking renormalization of Lorenz-like maps, Topological entropy bounds multiscale entropy, The generalized entropy in the generalized topological spaces, Monotony of solutions of some difference and differential equations, Topological entropy of nonautonomous dynamical systems on uniform spaces, Some characteristics of complex behavior of orbits in dynamical systems, Topological entropy of Devaney chaotic maps, Surjective cellular automata with zero entropy are almost one-to-one, Some properties on topological entropy of free semigroup action, Distortion of Dynamical Systems in the Context of Focusing the Chaos Around the Point, Chaotic synchronization in a type of coupled lattice maps, Deciding the point-to-fixed-point problem for skew tent maps on an interval, A Farey tree organization of locking regions for simple circle maps, Existence of Chaos in a Restricted Oligopoly Model with Investment Periods, Sets of periods for maps on connected graphs with zero Euler characteristic having all branching points fixed, Full cascades of simple periodic orbits on the interval, Distributional chaos of tree maps., Non-monotonicity of entropy of interval maps, On Lipschitz extension of interval maps, Rotation sets for graph maps of degree 1, Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller, A characterization of the kneading pair for bimodal degree one circle maps, Computing the topological entropy of continuous maps with at most three different kneading sequences with applications to Parrondo's paradox, On the structure of isentropes of polynomial maps, On the dynamics of a hyperbolic-exponential model of growth with density dependence, On essential entropy-carrying sets, Topological entropy of quadratic polynomials and dimension of sections of the Mandelbrot set, Rotation set for maps of degree 1 on the graph sigma, Topological entropy of fuzzified dynamical systems, A suffficient condition for topological chaos with an application to a model of endogeneous growth, Rotation numbers for certain maps of an \(n\)-od, On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems, On the decidability of termination of query evaluation in transitive-closure logics for polynomial constraint databases, On the dynamics of composition of commuting interval maps, On some properties of orientation-preserving surjections on the circle, Period sets of linear toral endomorphisms on \(\mathbb{T}^2\), Coding and entropy for piecewise continuous piecewise monotone transformations, Topological entropy for induced hyperspace maps, An embedding of the Farey web in the parameter space of simple families of circle maps, Fixed points and graph images for minimal maps on the once punctured torus, On the topological entropy of continuous and almost continuous functions, What is the effective impact of the explosive orbital growth in discrete-time one-dimensional polynomial dynamical systems?, Dynamic Parrondo's paradox, Translation numbers in a Garside group are rational with uniformly bounded denominators., Computing odd periods of alternating systems of affine circle maps, Entropy, horseshoes and homoclinic trajectories on trees, graphs and dendrites, Chaos and entropy for circle maps, Applying Circulant Matrices Properties to Synchronization Problems, Topological entropy of policy functions in concave dynamic optimization models, Estimating topological entropy from individual orbits, Topological formulation of termination properties of iterates of functions, Local properties of entropy for finite family of functions, Periodic structure of alternating continuous interval maps, On the dynamics of Kopel's Cournot duopoly model, A splitting theorem for transitive maps, Properties of Dynamical Systems on Dendrites and Graphs, A note on the dynamics of the logistic family modified by fuzzy numbers, On topological entropy of commuting interval maps, On the dynamics of the \(q\)-deformed Puu's model with cubic investment map, The Dynamics of Periodic Switching Systems, A survey on the set of periods of the graph homeomorphisms, Advances in Periodic Difference Equations with Open Problems, Orbit types and minimal dynamics for continuous graph maps, Topological dynamic classification of duopoly games, Devil's staircase route to chaos in a forced relaxation oscillator, Mixing \(C^r\) maps of the interval without maximal measure., Symbolic representation for a class of unimodal cycles