scientific article; zbMATH DE number 1849966
From MaRDI portal
Publication:4787531
zbMath1027.37001MaRDI QIDQ4787531
Anatole Katok, Boris Hasselblatt
Publication date: 7 January 2003
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items
On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution ⋮ The p-adic Theory of Automata Functions ⋮ On a version of the hyperbolic annulus principle ⋮ Several sufficient conditions for sensitive dependence on initial conditions ⋮ On the regular automorphisms of \(\mathbb{C}^k\). ⋮ Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ On Topological Classification of Morse–Smale Diffeomorphisms ⋮ A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle ⋮ From chaos to order. Difference equations in one ecological problem ⋮ The geometry and fundamental groups of solenoid complements ⋮ Adding machine maps and minimal sets for iterated function systems ⋮ Generalized invariance principles for discrete-time stochastic dynamical systems ⋮ A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus ⋮ Julia sets on ℝℙ² and dianalytic dynamics ⋮ Computing Arnol'd tongue scenarios ⋮ Extensions and applications of equitable decompositions for graphs with symmetries ⋮ Integrate and fire neural networks, piecewise contractive maps and limit cycles ⋮ Backward Asymptotics in S-Unimodal Maps ⋮ A persistently singular map of $\mathbb{T}^n$ that is $C^2$ robustly transitive but is not $C^1$ robustly transitive ⋮ Sensitivity and Devaney's chaos in uniform spaces ⋮ Detecting unstable periodic orbits of nonlinear mappings by a novel quantum-behaved particle swarm optimization non-Lyapunov way ⋮ Minimal non-invertible maps on the pseudo-circle ⋮ Period 3 and chaos for unimodal maps ⋮ Weighting by iteration: the case of Ryll-Nardzewski's iterations ⋮ Absence of chaos in digital memcomputing machines with solutions ⋮ Integrated hydrodynamic model for simulation of river-lake-sluice interactions ⋮ Generic non-trivial resonances for Anosov diffeomorphisms ⋮ On some sufficient hyperbolicity conditions ⋮ Corrigendum to: ``Syndetically proximal pairs ⋮ Example of blue sky catastrophe accompanied by a birth of Smale-Williams attractor ⋮ Two new families of finitely generated simple groups of homeomorphisms of the real line ⋮ Stable regularities without governing laws? ⋮ Route to chaos in a branching model of neural network dynamics ⋮ How to perturb Bernoulli shift map ⋮ On some properties of the shift on an infinite-dimensional torus ⋮ Quantization causes waves: smooth finitely computable functions are affine ⋮ Self‐adjoint Laplacians and symmetric diffusions on hyperbolic attractors ⋮ Chaotic dynamics in refraction galactic billiards ⋮ n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin ⋮ From Geodesic Flow on a Surface of Negative Curvature to Electronic Generator of Robust Chaos ⋮ Coexistence of Random Subharmonic Solutions of Random Impulsive Differential Equations and Inclusions on a Circle ⋮ Conceptions of topological transitivity ⋮ Lazily adapted constant kinky inference for nonparametric regression and model-reference adaptive control ⋮ Analyzing Devaney Chaos of a Sine–Cosine Compound Function System ⋮ Numerical exploration of a hexagonal string billiard ⋮ Chaotic trajectory design for monitoring an arbitrary number of specified locations using points of interest ⋮ Kinematic Control of a Robot by Using a Non-autonomous Chaotic System ⋮ One class of structurally stable endomorphisms on an infinite-dimensional torus ⋮ Turbulent chaos ⋮ Sharkovsky-Type Theorems on S1 Applicable to Differential Equations ⋮ Anatole Katok ⋮ Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces ⋮ Coexistence of periodic solutions with various periods of impulsive differential equations and inclusions on tori via Poincaré operators ⋮ Numerical convergence of the block-maxima approach to the generalized extreme value distribution ⋮ The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents ⋮ Mean dimension and an embedding theorem for real flows ⋮ Celestial chaos: the new logics of theory-testing in orbital dynamics ⋮ Analysis, adaptive control and circuit simulation of a novel nonlinear finance system ⋮ Relatively pointwise recurrent graph map ⋮ Solenoidal attractors of diffeomorphisms of annular sets ⋮ Nielsen number, impulsive differential equations and problem of Jean Leray ⋮ Several sufficient conditions for a map and a semi-flow to be ergodically sensitive ⋮ Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions ⋮ Train flow chaos analysis based on an improved cellular automata model ⋮ Parallel chip-firing on the complete graph: Devil’s staircase and Poincaré rotation number ⋮ Desingularization of surface maps ⋮ General equitable decompositions for graphs with symmetries ⋮ Limit of ratio of consecutive terms for general order-\(k\) linear homogeneous recurrences with constant coefficients ⋮ An autonomous system with attractor of Smale-Williams type with resonance transfer of excitation in a ring array of van der Pol oscillators ⋮ Regular Language Distance and Entropy ⋮ The Transformation of American Political Space 1982–2002 ⋮ An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities ⋮ Exact Devaney chaos and entropy ⋮ Unnamed Item ⋮ Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations ⋮ Expansive endomorphisms on the infinite-dimensional torus ⋮ Out-of-time-order operators and the butterfly effect ⋮ Definitions and properties of entropy and distance for regular languages ⋮ Model of a dynamical system of the ``fire-water conflict type ⋮ Quadratic non-stochastic operators: examples of splitted chaos ⋮ Hyperbolic attractors of diffeomorphisms of Euclidean space ⋮ Dynamical degrees of automorphisms on abelian varieties ⋮ On a class of Anosov diffeomorphisms on the infinite-dimensional torus ⋮ Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori ⋮ Some properties of circle maps with zero topological entropy ⋮ Chaoticity versus stochasticity in financial markets: are daily S\&P 500 return dynamics chaotic? ⋮ Overdamped non-contact rectifiers ⋮ Existence of unique SRB-measures is typical for real unicritical polynomial families ⋮ On absolute nonshadowability of transitive maps ⋮ Deterministic diffusion ⋮ A persistently singular map of $\mathbb{T}^n$ that is $C^1$ robustly transitive ⋮ Measuring transient chaos in nonlinear one- and two-dimensional maps ⋮ Optimal affine leader functions in reverse Stackelberg games. Existence conditions and characterization ⋮ On some modifications of Arnold's cat map