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Control of spatiotemporal chaos: A study with an autocatalytic reaction-diffusion system

https://doi.org/10.1007/bf02845637
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What this work says

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

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Chemical Oscillations, Waves, and Turbulence
inferredcites →https://doi.org/10.1007/bf01044730openalex-snapshot
Spatiotemporal chaos and noise
inferredcites →https://doi.org/10.1007/bf02429858openalex-snapshot
Numerical integration of ordinary differential equations on manifolds
inferredcites →https://doi.org/10.1007/bfb0064319openalex-snapshot
Chaotic behavior of multidimensional difference equations
inferredcites →https://doi.org/10.1016/0009-2509(83)80132-8openalex-snapshot
Autocatalytic reactions in the isothermal, continuous stirred tank reactor
inferredcites →https://doi.org/10.1016/0009-2509(92)85121-qopenalex-snapshot
Chaotic behavior of reaction systems: mixed cubic and quadratic autocatalysis
inferredcites →https://doi.org/10.1016/0009-2509(93)85010-mopenalex-snapshot
Stabilizing the operation of a nonisothermal CSTR: A model study using a single-variable nonlinear controller
inferredcites →https://doi.org/10.1016/0045-7825(94)90010-8openalex-snapshot
An exploration of chaos
inferredcites →https://doi.org/10.1016/0167-2789(91)90166-7openalex-snapshot
Fractal dimension of spatially extended systems
inferredcites →https://doi.org/10.1016/0375-9601(93)90640-lopenalex-snapshot
Predictable chaos in slightly perturbed unpredictable chaotic systems
inferredcites →https://doi.org/10.1016/0375-9601(93)91102-bopenalex-snapshot
Dynamical complexity arising in the adaptive control of a chaotic system
inferredcites →https://doi.org/10.1016/0378-4371(95)00326-6openalex-snapshot
Analysis and characterization of complex spatio-temporal patterns in nonlinear reaction-diffusion systems
inferredcites →https://doi.org/10.1021/cr00035a012openalex-snapshot
Oscillatory Kinetics in Heterogeneous Catalysis
inferredcites →https://doi.org/10.1038/352610a0openalex-snapshot
Transition from a uniform state to hexagonal and striped Turing patterns
inferredcites →https://doi.org/10.1038/369215a0openalex-snapshot
Experimental observation of self-replicating spots in a reaction–diffusion system
inferredcites →https://doi.org/10.1038/378465a0openalex-snapshot
Taming spatiotemporal chaos with disorder
inferredcites →https://doi.org/10.1049/pbce053e_ch11openalex-snapshot
Neural networks and system identification
inferredcites →https://doi.org/10.1063/1.465062openalex-snapshot
Instabilities in propagating reaction-diffusion fronts
inferredcites →https://doi.org/10.1070/rm1977v032n04abeh001639openalex-snapshot
CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
inferredcites →https://doi.org/10.1088/0031-8949/40/3/016openalex-snapshot
Information content and predictability of lumped and distributed dynamical systems
inferredcites →https://doi.org/10.1088/0950-7671/21/8/301openalex-snapshot
Recent Progress in Scientific Computing
inferredcites →https://doi.org/10.1088/0953-8984/2/s/005openalex-snapshot
Chemical chaos and self-organization
inferredcites →https://doi.org/10.1093/oso/9780198522249.001.0001openalex-snapshot
Non-linear Time Series
inferredcites →https://doi.org/10.1098/rspa.1991.0072openalex-snapshot
On the robust control of nonlinear systems
inferredcites →https://doi.org/10.1098/rsta.1994.0071openalex-snapshot
Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system
inferredcites →https://doi.org/10.1103/physreva.44.2374openalex-snapshot
Driving systems with chaotic signals
inferredcites →https://doi.org/10.1103/physreva.45.5524openalex-snapshot
Fitting ordinary differential equations to chaotic data
inferredcites →https://doi.org/10.1103/physreva.46.7387openalex-snapshot
Analysis and synthesis of synchronous periodic and chaotic systems
inferredcites →https://doi.org/10.1103/physreva.46.r2992openalex-snapshot
Stability limits of spirals and traveling waves in nonequilibrium media
inferredcites →https://doi.org/10.1103/physreve.48.r1635openalex-snapshot
Turbulence due to spiral breakup in a continuous excitable medium
inferredcites →https://doi.org/10.1103/physreve.49.313openalex-snapshot
Synchronization of chaos using proportional feedback
inferredcites →https://doi.org/10.1103/physreve.49.r945openalex-snapshot
Enhancing synchronism of chaotic systems
inferredcites →https://doi.org/10.1103/physrevlett.64.1196openalex-snapshot
Controlling chaos
inferredcites →https://doi.org/10.1103/physrevlett.64.2953openalex-snapshot
Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern
inferredcites →https://doi.org/10.1103/physrevlett.64.821openalex-snapshot
Synchronization in chaotic systems
inferredcites →https://doi.org/10.1103/physrevlett.71.1103openalex-snapshot
Spiral breakup in model equations of action potential propagation in cardiac tissue
inferredcites →https://doi.org/10.1103/physrevlett.71.3794openalex-snapshot
Controlling chaos in systems described by partial differential equations
inferredcites →https://doi.org/10.1103/physrevlett.71.521openalex-snapshot
Characterization of spatiotemporal chaos from time series
inferredcites →https://doi.org/10.1103/physrevlett.71.65openalex-snapshot
Circuit implementation of synchronized chaos with applications to communications
inferredcites →https://doi.org/10.1103/physrevlett.72.1184openalex-snapshot
Controlling extended systems of chaotic elements
inferredcites →https://doi.org/10.1103/physrevlett.72.1647openalex-snapshot
Synchronization of chaotic diode resonators by occasional proportional feedback
inferredcites →https://doi.org/10.1103/physrevlett.72.2561openalex-snapshot
Controlling spatiotemporal chaos
inferredcites →https://doi.org/10.1103/physrevlett.74.912openalex-snapshot
Long-Range Correlations in Systems with Coherent (Quasi)periodic Oscillations
inferredcites →https://doi.org/10.1103/physrevlett.75.3openalex-snapshot
Array Enhanced Stochastic Resonance and Spatiotemporal Synchronization
inferredcites →https://doi.org/10.1103/physrevlett.75.4023openalex-snapshot
Controlling Complexity
inferredcites →https://doi.org/10.1103/physrevlett.76.1232openalex-snapshot
Estimating Model Parameters from Time Series by Autosynchronization
inferredcites →https://doi.org/10.1103/physrevlett.76.1816openalex-snapshot
Generalized Synchronization, Predictability, and Equivalence of Unidirectionally Coupled Dynamical Systems
inferredcites →https://doi.org/10.1103/physrevlett.76.904openalex-snapshot
Synchronizing Hyperchaos with a Scalar Transmitted Signal
inferredcites →https://doi.org/10.1103/revmodphys.65.1331openalex-snapshot
The analysis of observed chaotic data in physical systems
inferredcites →https://doi.org/10.1103/revmodphys.65.851openalex-snapshot
Pattern formation outside of equilibrium
inferredcites →https://doi.org/10.1109/31.52759openalex-snapshot
Dynamics of adaptive systems
inferredcites →https://doi.org/10.1126/science.261.5118.189openalex-snapshot
Complex Patterns in a Simple System
inferredcites →https://doi.org/10.1142/s0218127492000197openalex-snapshot
CONTROLLING OF CHAOS IN BONHOEFFER- VAN DER POL OSCILLATOR
inferredcites →https://doi.org/10.1142/s0218127492000598openalex-snapshot
PREDICTION OF CHAOTIC TIME SERIES WITH NEURAL NETWORKS AND THE ISSUE OF DYNAMIC MODELING
inferredcites →https://doi.org/10.1142/s0218127494000691openalex-snapshot
A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS
inferredcites →https://doi.org/10.1143/ptp.69.32openalex-snapshot
Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
inferredcites →https://doi.org/10.1209/0295-5075/25/5/002openalex-snapshot
Multiparameter Control of High-Dimensional Chaotic Systems
inferredcites →https://doi.org/10.2307/1575883openalex-snapshot
Nonlinear Science Today
inferredcites →https://doi.org/10.5860/choice.27-6392openalex-snapshot
Chaotic dynamics of nonlinear systems

What points at this work

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

inferred← citeshttps://doi.org/10.1002/mma.6807openalex-snapshot
Global synchronization of fractional‐order and integer‐order N component reaction diffusion systems: Application to biochemical models
inferred← citeshttps://doi.org/10.1007/s11071-010-9756-9openalex-snapshot
Multi-stability and basin crisis in synchronized parametrically driven oscillators
inferred← citeshttps://doi.org/10.1007/s12043-009-0163-zopenalex-snapshot
Global chaos synchronization of coupled parametrically excited pendula
inferred← citeshttps://doi.org/10.1016/b978-0-32-390953-2.00007-4openalex-snapshot
Complete synchronization of the time-fractional Chua reaction–diffusion system
inferred← citeshttps://doi.org/10.1016/b978-0-44-313317-6.00016-0openalex-snapshot
Complete synchronization of the Newton–Leipnik reaction diffusion chaotic system
inferred← citeshttps://doi.org/10.1016/j.ces.2015.05.040openalex-snapshot
Embedded multiple shooting methodology in a genetic algorithm framework for parameter estimation and state identification of complex systems
inferred← citeshttps://doi.org/10.1063/1.166420openalex-snapshot
Scaling and interleaving of subsystem Lyapunov exponents for spatio-temporal systems
inferred← citeshttps://doi.org/10.1080/00036811.2019.1616694openalex-snapshot
On the complete synchronization of a time-fractional reaction–diffusion system with the Newton–Leipnik nonlinearity
inferred← citeshttps://doi.org/10.1088/1742-6596/1530/1/012154openalex-snapshot
Communication by 16 scrolls attractors of Chua’s circuit
inferred← citeshttps://doi.org/10.1103/physreve.58.r5221openalex-snapshot
Adaptive control of spatially extended systems: Targeting spatiotemporal patterns and chaos
inferred← citeshttps://doi.org/10.1103/physreve.64.056222openalex-snapshot
Parameter estimation in spatially extended systems: The Karhunen-Lóeve and Galerkin multiple shooting approach
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Global and Local Control of Spatiotemporal Chaos in Coupled Map Lattices
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Synchronization Methods for the Degn-Harrison Reaction-Diffusion Systems
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Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law
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Synchronization of the Glycolysis Reaction-Diffusion Model via Linear Control Law
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