Symbolic dynamics and characterization of complexity

Deterministic Nonperiodic Flow

1963 • 18,282 citations

Introduction to automata theory, languages and computation

1981 • 11,042 citations

Introduction to automata theory, languages, and computation

1980 • 6,852 citations

Iterated Maps on the Interval as Dynamical Systems

2009 • 1,700 citations

Inferring statistical complexity

1989 • 984 citations

Toward a quantitative theory of self-generated complexity

1986 • 677 citations

Computation theory of cellular automata

1984 • 629 citations

On finite limit sets for transformations on the unit interval

1973 • 600 citations

Chaotic states and routes to chaos in the forced pendulum

1982 • 486 citations

Recurrent geodesics on a surface of negative curvature

1921 • 402 citations

Symbolic Dynamics

1938 • 402 citations

Elementary Symbolic Dynamics and Chaos in Dissipative Systems

1989 • 330 citations

Chaos, solitons, and fractals

1991 • 287 citations

Topological and metric properties of Hénon-type strange attractors

1988 • 252 citations

Symbolic dynamics and hyperbolic dynamic systems

1981 • 244 citations

Symbolic dynamics of noisy chaos

1983 • 217 citations

Suppression of Period Doubling in Symmetric Systems

1984 • 190 citations

One-Dimensional Dynamics in a Multicomponent Chemical Reaction

2017 • 175 citations

Symmetry-increasing bifurcation of chaotic attractors

1988 • 167 citations

Generating partitions for the dissipative Hénon map

1985 • 140 citations

Transition to topological chaos for circle maps

1986 • 133 citations

Symmetry types of periodic sequences

1961 • 111 citations

Chaos in a Nonlinear Driven Oscillator with Exact Solution

1983 • 104 citations

First-return maps as a unified renormalization scheme for dynamical systems

1987 • 95 citations

Some flesh on the skeleton: The bifurcation structure of bimodal maps

1987 • 87 citations

Universality and self-similarity in the bifurcations of circle maps

1985 • 61 citations

Multiplicity in a Chemical Reaction with One-Dimensional Dynamics

1986 • 56 citations

From U sequence to Farey sequence: A unification of one-parameter scenarios

1990 • 54 citations

Computing the topological entropy of maps

1983 • 54 citations

Hierarchical approach to complexity with applications to dynamical systems

1990 • 51 citations

Boundary of Topological Chaos for Bimodal Maps of the Interval

1988 • 47 citations

Analytic treatment of a driven oscillator with a limit cycle

1987 • 38 citations

On Symbolic Dynamics of One-Humped Maps of the Interval

1988 • 34 citations

Grammatical complexity of strange sets

1990 • 33 citations

Period doubling for bimodal maps: a horseshoe for a renormalisation operator

1988 • 33 citations

New road to chaos

1987 • 33 citations

Scaling Property of Period-n-Tupling Sequences in One-Dimensional Mappings

1984 • 33 citations

Classes of periodic sequences

1958 • 29 citations

Experimental study and characterization of chaos

1990 • 28 citations

Experimental Study and Characterization of Chaos

1990 • 24 citations

Calculation of period doubling in a Josephson circuit

1984 • 24 citations

Analytic treatment of periodic orbit systematics for a nonlinear driven oscillator

1986 • 22 citations

Thermal diffusion in ternary mixtures

1963 • 21 citations

Symbolic dynamics and skeletons of circle maps

1989 • 20 citations

Construction of maps with generating partitions for entropy evaluation

1985 • 20 citations

The Farey tree embodied — In bimodal maps of the interval

1989 • 17 citations

Systematics of the Periodic Windows in the Lorenz Model and its Relation with the Antisymmetric Cubic Map

1988 • 16 citations

Applied symbolic dynamics for the Lorenz-like map

1990 • 15 citations

Chaos as a Limit in a Boundary Value Problem

1984 • 15 citations

On the symmetry-breaking bifurcation of chaotic attractors

1989 • 13 citations

Structure of parameter space for a prototype nonlinear oscillator

1987 • 13 citations

Structure of the parameter space for the van der Pol oscillator

1988 • 11 citations

Quantitative characterization of complexity and predictability

1991 • 10 citations

Symbolic dynamics for the gap map

1989 • 10 citations

Generalised composition law for symbolic itineraries

1989 • 9 citations

Power spectra analysis and the nomenclature of periods in the Lorenz model

1985 • 7 citations

SYMBOLIC DYNAMICS ANALYSIS OF SYMMETRY BREAKING AND RESTORATION

1989 • 7 citations

On the Number of Stable Cycles in the Cubic Map

1987 • 6 citations

Transition to topological chaos for circle maps

1988 • 6 citations

Analytical study of a bimodal mapping related to a hybrid optical bistable device using liquid crystal

1985 • 6 citations

A recursion formula for the number of stable orbits in the cubic map

1985 • 5 citations

Symbolic Dynamics for One-Dimensional Mappings with Multiple Critical Points

1988 • 4 citations

Analytical Study of a Bimodal Map Related to Optical Bistability

1987 • 3 citations

UNIVERSAL CONSTANTS AND UNIVERSAL FUNCTIONS OF PERIQO-N-TUPLING SEQUENCES IN ONE-DIMENSIONAL UNIMODAL MAPPINGS

1986 • 3 citations