Standout Papers

<i>An Introduction to Chaotic Dynamical Systems</i> 1985 2026 1998 2012 3.3k
  1. An Introduction to Chaotic Dynamical Systems (1987)
    Robert L. Devaney, Jean‐Pierre Eckmann Physics Today
  2. Ergodic theory of chaos and strange attractors (1985)
    Jean‐Pierre Eckmann, David Ruelle Reviews of Modern Physics
  3. Recurrence Plots of Dynamical Systems (1987)
    Jean‐Pierre Eckmann, Sylvie Oliffson Kamphorst et al. Europhysics Letters (EPL)
  4. Iterated Maps on the Interval as Dynamical Systems (2009)
    Pierre Collet, Jean‐Pierre Eckmann Birkhäuser Boston eBooks

Citation Impact

Citing Papers

Visualizing Musical Structure and Rhythm via Self-Similarity
2001
Phase asynchrony of the north-south sunspot activity
2006
Two-loop corrections to large order behavior of φ4 theory
2017 StandoutNobel
Detecting communities in large networks
2005
Understanding individual human mobility patterns
2008 StandoutNature
Evidence for slow brain waves: a dynamical approach
1991
Dynamic Pattern Formation in a Vesicle-Generating Microfluidic Device
2001 StandoutNobel
Community detection in complex networks using extremal optimization
2005
To catch and reverse a quantum jump mid-flight
2019 StandoutNatureNobel
Communicability in complex networks
2008
Recurrence-plot-based measures of complexity and their application to heart-rate-variability data
2002
Recurrence plot analysis of nonstationary data: The understanding of curved patterns
2005
Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model
2002 StandoutNobel
Network community structure and loop coefficient method
2006
Spatial recurrence plots
2006
Measuring Nonstationarity by Analyzing the Loss of Recurrence in Dynamical Systems
2002
Estimation of the direction of the coupling by conditional probabilities of recurrence
2007
Permutation Entropy: A Natural Complexity Measure for Time Series
2002 Standout
Patterns of cardiovascular reactivity in disease diagnosis
2004
Specificity of postural sway to the demands of a precision task
2000
Clique Percolation in Random Networks
2005
Recurrence quantification analysis of postural fluctuations
1999
On the correlation dimension of optokinetic nystagmus eye movements: computational parameters, filtering, nonstationarity, and surrogate data
1997
Josephson Effect without Superconductivity: Realization in Quantum Hall Bilayers
2001 StandoutNobel
Similarity in oligonucleotide usage in introns and intergenic regions contributes to long-range correlation in the Caenorhabditis elegans genome
1999
Local modularity measure for network clusterizations
2005
Uncovering the overlapping community structure of complex networks in nature and society
2005 StandoutNature
Multiscale Entropy Analysis of Complex Physiologic Time Series
2002 Standout
Glass transition of dense fluids of hard and compressible spheres
2009
Hierarchical organization in complex networks
2003 Standout
Is the normal heart a periodic oscillator?
1988
Is there chaos in the brain? I. Concepts of nonlinear dynamics and methods of investigation
2001
Recovering smooth dynamics from time series with the aid of recurrence plots
1999
Structural transitions in scale-free networks
2003
Near linear time algorithm to detect community structures in large-scale networks
2007 Standout
Predictability of human EEG: a dynamical approach
1991
Optimizing of recurrence plots for noise reduction
2002
A regularity statistic for medical data analysis
1991
Evolving networks with distance preferences
2002
Visualization of coupling in time series by order recurrence plots
2005
Catastrophic shifts in ecosystems
2001 StandoutNature
Order patterns recurrence plots in the analysis of ERP data
2007
Noise-level estimation of time series using coarse-grained entropy
2003
Catastrophic cascade of failures in interdependent networks
2010 StandoutNature
Software corrections of vocal disorders
2002
Non-linear analysis of EEG signals at various sleep stages
2005
Modeling bursts and heavy tails in human dynamics
2006
OSCILLATORY ELECTRODISSOLUTION OF METALS
1991
LIGO: The Laser Interferometer Gravitational-Wave Observatory
1992 StandoutScienceNobel
Plateau onset for correlation dimension: When does it occur?
1993
Physiological time-series analysis: what does regularity quantify?
1994
Pair Tunneling fromc-AxisYBa2Cu3O7xto Pb: Evidence fors-Wave Component from Microwave Induced Steps
1996 StandoutNobel
Stochastic resonance
1998 Standout
Evolution of networks
2002 Standout
Stationarity and nonstationarity in time series analysis
1996
Generalized redundancies for time series analysis
1995
Recurrence plots revisited
1997
Asymptotic estimates in perturbation theory
1977 StandoutNobel
Empirical Analysis of an Evolving Social Network
2006 Science
Survey of chaos in the rf-biased Josephson junction
1985
Recurrence quantification analysis of the logistic equation with transients
1996
Stochastic resonance as a crisis in a period-doubled circuit
1993
Recurrence plots for the analysis of complex systems
2007 Standout
Divergence in perpendicular recurrence plot; quantification of dynamical divergence from short chaotic time series
1999
Optimal partition and effective dynamics of complex networks
2008
How much information is contained in a recurrence plot?
2004
The Wightman axioms and the mass gap for weakly coupled (ϕ4)3 quantum field theories
1976
Synchronization of chaotic structurally nonequivalent systems
2000
Nonlinear dynamics in the CO-oxidation on Pt single crystal surfaces
1990 StandoutNobel
Accuracy and precision of methods for community identification in weighted networks
2006
Community detection in graphs
2009 Standout
Physiological time-series analysis using approximate entropy and sample entropy
2000 Standout
Stochastic Resonance and Crises
1993
Topological analysis of chaotic dynamical systems
1998
An attractor in a solar time series
1987
Pattern formation outside of equilibrium
1993 Standout
Detecting deterministic signals in exceptionally noisy environments using cross-recurrence quantification
1998
Statistical physics of social dynamics
2009 Standout
Crises, sudden changes in chaotic attractors, and transient chaos
1983
A comparative classification of complexity measures
1994
Advanced chaos forecasting
1994
Application of nonlinear time series analysis techniques to high-frequency currency exchange data
2002
Hopping and the Stokes–Einstein relation breakdown in simple glass formers
2014 StandoutNobel
Lyapunov exponents from observed time series
1990
The Architecture of Complexity
2007
Collective Motion in a System of Motile Elements
1996
Synchronization Analysis of Coupled Noncoherent Oscillators
2006
Topological analysis and synthesis of chaotic time series
1992
Growing timescales and lengthscales characterizing vibrations of amorphous solids
2016 StandoutNobel
Controlling chaos
1990 Standout
Quantitative field theory of the glass transition
2012 StandoutNobel
Periodically time-modulated bistable systems: Nonstationary statistical properties
1989
Recurrence plots and unstable periodic orbits
2002
Extracting unstable periodic orbits from chaotic time series data
1997
Cooperative behavior in the periodically modulated Wiener process: Noise-induced complexity in a model neutron
1994
Recurrence quantification in epileptic EEGs
2001
Stochastic resonance in a bistable ring laser
1989
Generalised recurrence plot analysis for spatial data
2006
The origin of bursts and heavy tails in human dynamics
2005 Nature
Spurious dimension from correlation algorithms applied to limited time-series data
1986
Applications of recurrence quantified analysis to study the dynamics of chaotic chemical reaction
2004
Dynamic Order-Disorder in Atomistic Models of Structural Glass Formers
2009 Science
Relative rotation rates: Fingerprints for strange attractors
1990
Recurrence plot statistics and the effect of embedding
2004
Solitons in a surface reaction
1991 StandoutNobel
Spurious Structures in Recurrence Plots Induced by Embedding
2006
Chaos in a Noisy World: New Methods and Evidence from Time-Series Analysis
1995
Driven Frenkel-Kontorova model. II. Chaotic sliding and nonequilibrium melting and freezing
1998
Direct dynamical test for deterministic chaos and optimal embedding of a chaotic time series
1994
Dimensional study of the caging order parameter at the glass transition
2012 StandoutNobel
Limits for Metallic Conductivity in Conducting Polymers
1997 StandoutNobel
Synchronization in chaotic systems
1990 Standout
A p-Ge semiconductor experiment showing chaos and hyperchaos
1989
Non-Dynamical Stochastic Resonance: Theory and Experiments with White and Arbitrarily Coloured Noise
1995
Theory of stochastic resonance
1989
Transition Scenarios during the Evolution of the Belousov−Zhabotinsky Reaction in an Unstirred Batch Reactor
1999
Distinguishing between low-dimensional dynamics and randomness in measured time series
1992
Embeddings and delays as derived from quantification of recurrence plots
1992
Oscillatory Kinetics and Spatio-Temporal Self-Organization in Reactions at Solid Surfaces
1991 StandoutScienceNobel
Nonequilibrium Structures in Condensed Systems
1996 StandoutScienceNobel
Recurrence plot analysis of DNA sequences
2004
Computational Social Science
2009 StandoutScience
Liapunov exponents from a time series of acoustic chaos
1989
Controlling Chemical Turbulence by Global Delayed Feedback: Pattern Formation in Catalytic CO Oxidation on Pt(110)
2001 StandoutScienceNobel
Aspects of Ergodic, Qualitative and Statistical Theory of Motion
2004
Damage detection using multivariate recurrence quantification analysis
2004
Spatiotemporal Addressing of Surface Activity
2001 StandoutScienceNobel
Detection of synchronization for non-phase-coherent and non-stationary data
2005
Comparing community structure identification
2005 Standout
Nonlinear analysis of bivariate data with cross recurrence plots
2002
Supertracks, supertrack functions and chaos in the quadratic map
1988
Practical method for determining the minimum embedding dimension of a scalar time series
1997
Stochastic resonance in a superconducting loop with a Josephson junction
1995
Recurrence plots of experimental data: To embed or not to embed?
1998
Evaluation of Lyapunov exponents and scaling functions from time series
1988
A new method to estimate the Kolmogorov entropy from recurrence plots: its application to neuronal signals
1998
Computational design of mechanically coupled axle-rotor protein assemblies
2022 StandoutScienceNobel
Structure of stochastic dynamics near fixed points
2005 StandoutNobel
Proper choice of the time delay for the analysis of chaotic time series
1989
Catching and reversing quantum jumps and thermodynamics of quantum trajectories
2018
Burstiness and memory in complex systems
2008
Random pinning glass model
2013 StandoutNobel
Phase space cell expansion and borel summability for the Euclidean φ 3 4 theory
1977
Hyperchaos in a chemical reaction
1992 StandoutNobel
Cross recurrence plot based synchronization of time series
2002
Long-term predictability of mean daily temperature data
2005
Two-Dimensional Imaging of Potential Waves in Electrochemical Systems by Surface Plasmon Microscopy
1995 StandoutScienceNobel
RECURRENCE PLOT AND RECURRENCE QUANTIFICATION ANALYSIS TECHNIQUES FOR DETECTING A CRITICAL REGIME.
2005
The Structure and Function of Complex Networks
2003 Standout
Approximate entropy (ApEn) as a complexity measure
1995
Observation of Stochastic Resonance in a Ring Laser
1988
High-order behavior inφ3field theories and the percolation problem
1978
Simple mechanics of protein machines
2019
Intrinsically Unstable Behavior during the Oxidation of Carbon Monoxide on Platinum
1986
Heart Rate Variability
1996 Standout
Stochastic resonance in the Landau-Ginzburg equation
1985
Stochastic synchronization of oscillation in dissipative systems
1986
Characterization of an experimental strange attractor by periodic orbits
1989
Twin surrogates to test for complex synchronisation
2006
Remarks on stochastic resonance
1989
Quantifying the closeness of fractal measures
1994
A single-blind controlled competition among tests for nonlinearity and chaos
1997
Finding community structures in complex networks using mixed integer optimisation
2007
Estimation of dynamical invariants without embedding by recurrence plots
2004
Multivariate recurrence plots
2004
Recurrence Time Statistics for Chaotic Systems and Their Applications
1999
Recurrence quantification based Liapunov exponents for monitoring divergence in experimental data
2002
Spatiotemporal concentration patterns in a surface reaction: Propagating and standing waves, rotating spirals, and turbulence
1990 StandoutNobel
Dynamical assessment of physiological systems and states using recurrence plot strategies
1994
Transition to chaos in an oscillating surface reaction
1988 StandoutNobel
Impact of jamming criticality on low-temperature anomalies in structural glasses
2019 StandoutNobel
Testing for nonlinearity in time series: the method of surrogate data
1992 Standout
Metric space-time as fixed point of the renormalization group equations on fractal structures
1987 StandoutNobel
Influence of observational noise on the recurrence quantification analysis
2002
Transition to chemical turbulence
1991
Asymptotic estimates of Feynman diagrams
1977 StandoutNobel
Theoretical perspective on the glass transition and amorphous materials
2011
A new test for chaos
1993
Self-Assembly at All Scales
2002 StandoutScience
Kinetic oscillations in the catalytic CO oxidation on a Pt(110) surface
1986 StandoutNobel
Hidden peculiarities in the potential energy time series of a tripeptide highlighted by a recurrence plot analysis: A molecular dynamics simulation
1996
Critical Behavior of Branched Polymers and the Lee-Yang Edge Singularity
1981 StandoutNobel
Line structures in recurrence plots
2004
Solar Cycle Signal in Geomagnetic Activity and Climate
2004
The dynamics of a mobile phone network
2008
Critical exponents from field theory
1980 Standout
Structure and tie strengths in mobile communication networks
2007 Standout
Chaotic behaviour in general relativity
1982
Shear bands as manifestation of a criticality in yielding amorphous solids
2017 StandoutNobel
Imaging of spatio-temporal pattern evolution during carbon monoxide oxidation on platinum
1990 StandoutNatureNobel

Works of Jean‐Pierre Eckmann being referenced

Green function of correlated genes in a minimal mechanical model of protein evolution
2018
Ergodicity and slowing down in glass-forming systems with soft potentials: No finite-temperature singularities
2008
Onset of defect-mediated turbulence
1991
Addendum: Ergodic theory of chaos and strange attractors
1985
Nonequilibrium nucleation of topological defects as a deterministic phenomenon
1991
An Introduction to Chaotic Dynamical Systems
1987 Standout
Remarks on stochastic resonances
1982
Iterated Maps on the Interval as Dynamical Systems
2009 Standout
Representations of the CCR in the (φ4)3 model: Independence of space cutoff
1972
Computing the topological entropy of maps
1983
Curvature of co-links uncovers hidden thematic layers in the World Wide Web
2002
Decay properties and borel summability for the Schwinger functions inP(Φ)2 theories
1975
Entropy of dialogues creates coherent structures in e-mail traffic
2004
Exploring chaotic motion through periodic orbits
1987
Recurrence Plots of Dynamical Systems
1987 Standout
Ergodic theory of chaos and strange attractors
1985 Standout
On the abundance of aperiodic behaviour for maps on the interval
1980
Universal properties of maps on an interval
1980
Liapunov exponents from time series
1986
Instabilities and Fronts in Extended Systems
1990
The topological relationship between the large-scale attributes and local interaction patterns of complex networks
2004
Intermittency in the presence of noise
1981
On the bound state in weakly coupled λ(ϕ6−ϕ4)2
1976
Roads to turbulence in dissipative dynamical systems
1981
Rankless by CCL
2026