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Analyzing Chaotic Behavior in a Belousov−Zhabotinskyi Reaction by Using a Global Vector Field Reconstruction

https://doi.org/10.1021/jp982219u
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/kin.550070309openalex-snapshot
Mechanistic details of the Belousov–Zhabotinskii oscillations
inferredcites →https://doi.org/10.1007/bf01009527openalex-snapshot
A crisis in the Belousov-Zhabotinskii reaction: Experiment and simulation
inferredcites →https://doi.org/10.1007/bf01209064openalex-snapshot
Topological analysis of chaotic time series data from the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1007/bfb0091903openalex-snapshot
Dynamical Systems and Turbulence, Warwick 1980
inferredcites →https://doi.org/10.1016/0167-2789(83)90323-8openalex-snapshot
Observation of a strange attractor
inferredcites →https://doi.org/10.1016/0167-2789(85)90093-4openalex-snapshot
Asymptotic chaos
inferredcites →https://doi.org/10.1016/0167-2789(86)90031-xopenalex-snapshot
Extracting qualitative dynamics from experimental data
inferredcites →https://doi.org/10.1016/0167-2789(92)90085-2openalex-snapshot
An analytic approach to practical state space reconstruction
inferredcites →https://doi.org/10.1016/0167-2789(92)90109-zopenalex-snapshot
Construction of phenomenological models from numerical scalar time series
inferredcites →https://doi.org/10.1016/0167-2789(93)90278-9openalex-snapshot
Homoclinic chaos in chemical systems
inferredcites →https://doi.org/10.1016/0375-9601(85)90075-1openalex-snapshot
The periodic-chaotic sequences in chemical reactions: A scenario close to homoclinic conditions?
inferredcites →https://doi.org/10.1016/0375-9601(87)90669-4openalex-snapshot
Experimental evidence for homoclinic chaos in the Belousov-Zhabotinskii reaction
inferredcites →https://doi.org/10.1016/0375-9601(94)00708-wopenalex-snapshot
Modeling and synchronizing chaotic systems from experimental data
inferredcites →https://doi.org/10.1021/ar00144a002openalex-snapshot
Chemical chaos: from hints to confirmation
inferredcites →https://doi.org/10.1021/j100018a039openalex-snapshot
Topological Characterization and Global Vector Field Reconstruction of an Experimental Electrochemical System
inferredcites →https://doi.org/10.1021/ja00780a001openalex-snapshot
Oscillations in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system
inferredcites →https://doi.org/10.1063/1.166076openalex-snapshot
Unstable periodic orbits and templates of the Rössler system: Toward a systematic topological characterization
inferredcites →https://doi.org/10.1063/1.435267openalex-snapshot
Experimental evidence of chaotic states in the Belousov–Zhabotinskii reaction
inferredcites →https://doi.org/10.1103/physreva.44.r3419openalex-snapshot
Templates and framed braids
inferredcites →https://doi.org/10.1103/physreve.49.4955openalex-snapshot
Global vector-field reconstruction by using a multivariate polynomial L2 approximation on nets
inferredcites →https://doi.org/10.1103/physreve.51.164openalex-snapshot
Topological time-series analysis of a string experiment and its synchronized model
inferredcites →https://doi.org/10.1103/physreve.55.5082openalex-snapshot
Horseshoe templates with global torsion in a driven laser
inferredcites →https://doi.org/10.1103/physrevlett.64.2350openalex-snapshot
Classification of strange attractors by integers
inferredcites →https://doi.org/10.1119/1.17380openalex-snapshot
An Experimental Approach to Nonlinear Dynamics and Chaos.
inferredcites →https://doi.org/10.1142/s0218127493000544openalex-snapshot
TOPOLOGICAL ANALYSIS OF CHAOTIC SIGNALS FROM A CO 2 LASER WITH MODULATED LOSSES
inferredcites →https://doi.org/10.1142/s0218127496001624openalex-snapshot
TOPOLOGICAL ANALYSIS OF CHAOS IN EQUIVARIANT ELECTRONIC CIRCUITS

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Validation of Selected Global Models
inferred← citeshttps://doi.org/10.1007/978-1-4615-0931-8_17openalex-snapshot
Global Modeling and Differential Embedding
inferred← citeshttps://doi.org/10.1007/978-3-642-12601-7_10openalex-snapshot
Model Equations: “Black Box” Reconstruction
inferred← citeshttps://doi.org/10.1007/s11207-008-9160-5openalex-snapshot
Forecasting the Time Series of Sunspot Numbers
inferred← citeshttps://doi.org/10.1016/j.cnsns.2021.105869openalex-snapshot
Branched manifolds for the three types of unimodal maps
inferred← citeshttps://doi.org/10.1016/s0009-2509(01)00160-9openalex-snapshot
Characterization of chaotic dynamics—II: topological invariants and their equivalence for an autocatalytic model system and an experimental sheared polymer solution
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00279-2openalex-snapshot
Dynamical analysis and map modeling of a thermionic diode plasma experiment
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00313-xopenalex-snapshot
Structure-selection techniques applied to continuous-time nonlinear models
inferred← citeshttps://doi.org/10.1023/a:1014737424752openalex-snapshot
Topological Analysis of Chaos in a Three-Variable Biochemical Model
inferred← citeshttps://doi.org/10.1051/refdp/200615402openalex-snapshot
Analyse de dynamiques chaotiques : une nouvelle approche de l’activité solaire
inferred← citeshttps://doi.org/10.1063/1.1401117openalex-snapshot
Recurrence in plasma edge turbulence
inferred← citeshttps://doi.org/10.1063/1.3125705openalex-snapshot
Frequently asked questions about global modeling
inferred← citeshttps://doi.org/10.1063/1.5011325openalex-snapshot
Topological characterization versus synchronization for assessing (or not) dynamical equivalence
inferred← citeshttps://doi.org/10.1063/5.0128471openalex-snapshot
Optimal placement of sensor and actuator for controlling low-dimensional chaotic systems based on global modeling
inferred← citeshttps://doi.org/10.1063/5.0233160openalex-snapshot
Templex-based dynamical units for a taxonomy of chaos
inferred← citeshttps://doi.org/10.1063/5.0287725openalex-snapshot
Structure analysis of the Lorenz-84 chaotic attractor
inferred← citeshttps://doi.org/10.1103/physreve.101.042215openalex-snapshot
Assessing synchronizability provided by coupling variable from the algebraic structure of dynamical systems
inferred← citeshttps://doi.org/10.1103/physreve.60.1600openalex-snapshot
Structure selection for global vector field reconstruction by using the identification of fixed points
inferred← citeshttps://doi.org/10.1103/physreve.86.046205openalex-snapshot
Polynomial search and global modeling: Two algorithms for modeling chaos
inferred← citeshttps://doi.org/10.1515/jnetdy.2000.022openalex-snapshot
Instabilities By Local Heating Below an Interface
inferred← citeshttps://doi.org/10.3390/math8020300openalex-snapshot
Algebraic Method for the Reconstruction of Partially Observed Nonlinear Systems Using Differential and Integral Embedding
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