International Journal of Bifurcation and Chaos

Papers
(The median citation count of International Journal of Bifurcation and Chaos is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Global Stability and Hopf Bifurcation for a Stage Structured Model with Competition for Food82
A Note on the Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem68
Generalized Hopf Bifurcation of Semilinear FDEs in General Banach Spaces62
A New Mega-Stable System with a Mosaic Pattern and Its Hamilton Energy Analysis54
Hopf and Zero-Double Hopf Bifurcations of 5D Hyperjerk Oscillator Network System49
Hopf Bifurcation in Oncolytic Therapeutic Modeling: Viruses as Anti-Tumor Means with Viral Lytic Cycle44
Global Hopf Bifurcation of State-Dependent Delay Differential Equations44
Transition of Chimera States and Synchronization in Two-Layer Networks of Coupled Hindmarsh–Rose Neurons42
A Novel 4D Conservative Chaotic System with Hidden Extreme Multistability, Special Multitransient Behaviors, and Offset Boosting Behaviors41
Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus40
Author Index Volume 32 (2022)38
Local and Global Dynamics of a Ratio-Dependent Holling–Tanner Predator–Prey Model with Strong Allee Effect35
Crises of a Fractional Birhythmic Van der Pol Oscillator Using the Improved Cell Mapping Method34
Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances33
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting32
Dynamic Analysis of the Multichannel Supply Chain Under Carbon Subsidy Policy31
Odd and Even Functions in the Design Problem of New Chaotic Attractors31
Construction and Attractor Analysis of Discrete Chaotic Systems Based on Julia Fractal Transformation30
Correlation Sum and Recurrence Determinism of Interval Maps29
Crossing Limit Cycles Bifurcating from Two or Three Period Annuli in Discontinuous Planar Piecewise Linear Hamiltonian Differential Systems with Three Zones28
Bifurcation and Geometric Singular Perturbation Analysis of a Multi-timescale Pituitary Model26
Blue-Sky Catastrophic Bifurcations Behind Emergence and Disappearance of Quasiperiodic Rubbing Oscillations in a Piecewise Smooth Rotor–Stator System26
Design and Dynamics of Multicavity Hyperchaotic Maps with Cylinder Attractors24
2D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I24
Dynamic Characteristics Analysis of Gear System with Coupled Thermal-Elasto-Hydrodynamic-Nonlinear Effect24
Higher-Order Complex Periodic Motions in a Nonlinear, Electromagnetically Tuned Mass Damper System24
A Novel Method for Analyzing Global Bifurcation and Global Hysteresis of FGM Truncated Conical Shell Structure24
Twinned Locally Active Memristor-Based Chaotic Neuron23
The Complexity of Investment Spillover from New-Type Agricultural Business Entities to Small-Scale Farmers23
Bifurcation and Exact Solutions of a Concatenation Physical Model22
Chance and Chaos in an Adaptive Daisyworld Ecological System22
Learning Reactive Islands of the Voter97 System22
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise22
Magneto-Aero-Elastic Superharmonic and Subharmonic Resonances, Bifurcations and Chaos of Conductive Spinning Circular Plates21
Dynamic Survivability in Nonlinear Oscillation Systems with Attractive–Repulsive Interaction21
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – IV21
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response20
Complicated Boundaries of the Attraction Basin in a Class of Three-Dimensional Polynomial Systems19
2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – II19
Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems19
Entropic Regression Dynamic Mode Decomposition (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models19
Triple-Coupling Cellular Automata and Their Application to Image Encryption19
Turing–Hopf Bifurcation Coinduced by Diffusion and Delay in Gierer–Meinhardt Systems19
Immune–Pathogen Dynamics18
Joint Optimization–Encryption Model Based on Auto Encoder Neural Network, Variable-Length Dynamic S-Box and New Stream Encryption17
Torus and Hyperchaos in 3D Lotka–Volterra Map16
Dynamics of a New Delayed Glucose–Insulin Model with Obesity16
Emergence of Hidden Strange Nonchaotic Attractors in a Rational Memristive Map16
The Diffusive Lotka–Volterra Competitive Model with Advection Term: Exclusion, Coexistence and Multiplicity16
A Two-Dimensional Discrete Memristor Map: Analysis and Implementation15
A Review of Lorenz’s Models from 1960 to 200815
A Fast Hyperchaotic Image Encryption Scheme15
An Effective Cloud Image Management Scheme Based on an n-Dimensional Hyperchaotic Map with Desired Lyapunov Exponents15
Turing–Hopf Bifurcation Analysis of the Sel’kov–Schnakenberg System15
Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays14
Analyzing the Synergistic Effects of Population and Pollution on Forest Resources: A Mathematical Model14
A Versatile Image Encryption Scheme Based on Optical Hologram Technology and Chess Rules14
Strictly Periodic Points of Cellular Automata with Almost Equicontinuous Points14
Effective Pest Control Through Natural Predators: A Dynamical Plant–Pest–Predator Model14
Investigating the Relationship Between Tumor Cells, Healthy Tissue, and an Active Immune System in a Mathematical Model of Cancer Cell Growth14
Propagation Effect of Epileptic Seizures in a Coupled Thalamocortical Network14
Torus-Breakdown Near a Heteroclinic Attractor: A Case Study14
Detecting Correlations in Desynchronized Chaotic Chimera States14
Arnold Tongue-Like Structures and Coexisting Attractors in the Memristive Muthuswamy–Chua–Ginoux Circuit Model13
Pure-Attention-Based Multifunction Memristive Neuromorphic Circuit and System13
Predator–Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation13
Bifurcation and Path-Following Analysis of Periodic Orbits of a Fermi Oscillator Model13
Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps13
A Generalized Beddington Host–Parasitoid Model with an Arbitrary Parasitism Escape Function13
Ultra-Chaos in the Motion of Walking Droplet13
Influences of Media-Induced Awareness and Sanitation Practices on Cholera Epidemic: A Study of Bifurcation and Optimal Control13
On the Integrability of the Sprott Cubic Conservative Jerk System13
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding13
Multiple Time Delays Induced Dynamics of p53 Gene Regulatory Network13
Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ213
Analyzing Hippocampal Neural Dynamics Under Acetylcholine Deficiency Related to Alzheimer’s Disease13
Memcapacitor-Coupled Chebyshev Hyperchaotic Map13
Multi-Moment Multiscale Local Sample Entropy and Its Application to Complex Physiological Time Series13
Bifurcation Analysis of a Diffusive Two-Species Model with Memory-Based Cross-Diffusions13
Dynamics of a Within-Host Virus Infection Model with Multiple Pathways: Stability Switch and Global Stability12
Dynamics of Generalized Tangent-Like Maps12
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom12
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation12
Optimal and Poor Synchronizations of Directionally Coupled Phase-Coherent Chaotic Oscillators12
Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System12
On the Absolutely Continuous Invariant Measures for Random Maps12
Stability Switches, Hopf Bifurcation and Chaotic Dynamics in Simple Epidemic Model with State-Dependent Delay12
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I11
Temporally Stochastic Cellular Automata: Classes and Dynamics11
Measuring and Locating Zones of Chaos and Irregularity by Application of High Spectral Chaotic Global Variants11
Chaotic Path Planning for Mobile Robots Based on the Chen System11
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect11
Deterministic Ratchet Transport of Impurities in Fluids11
Leader Selection and Dynamics Analysis under Leader-Based Collective Bargaining for Buyers’ Alliance11
3D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I11
Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials11
Chaotic Model of Muscle and Joint Interactions Based on CPG for Rehabilitation of Incomplete Spinal Cord Injury Patients11
Type II Intermittency Route to Hidden Attractor in Modified Lorenz System11
Bifurcation Analysis for Two-Species Commensalism (Amensalism) Systems with Distributed Delays11
At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones10
Grazing-Induced Dynamics of the Piecewise-Linear Chua’s Circuit10
Approximating the Splitting Point of the Swarmalator Model10
Analysis of Parameter Space, Bifurcation and Symbolic Dynamics of Evolutionary Strategies on a One-Dimensional Regular Lattice10
Unraveling Chaos, Transition and Dynamical Complexities in a Generalized Predator–Prey Model with Cooperation-Induced Fear and Gestation Delay10
Bifurcation Analysis of Brain Connectivity Regulated Neural Oscillations in Schizophrenia10
Period-1 to Period-4 Motions in a 5D Lorenz System10
Ultradian Rhythmicity and Chaotic Behaviors in the Integrate-and-Fire Model of a Neuroendocrine System10
Julia Sets and Their Control in a Three-Dimensional Discrete Fractional-Order Financial Model10
Bifurcation Solutions to the Templator Model in Chemical Self-Replication10
Dynamics of a Mechanical System with Curve of Equilibria: Cosymmetry and Multistability10
Dynamics of Alternative States and Basin Transition of a Plant-Volatile-Induced Tritrophic System10
Modeling the Effect of TV and Social Media Advertisements on the Dynamics of Vector-Borne Disease Malaria10
Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates9
Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface9
Hopf Bifurcation Analysis of a Nose Landing Gear System of Aircraft9
Stability Analysis and Simulation of a Delayed Dengue Transmission Model with Logistic Growth and Nonlinear Incidence Rate9
Transition and Propagation of Epilepsy in an Improved Epileptor Model Coupled with Astrocyte9
Dynamic Analysis and Fractional-Order Terminal Sliding Mode Control of a Fractional-Order Buck Converter Operating in Discontinuous Conduction Mode9
The Visual Boundary Recurrence Plot: A Closer Look into the Dynamics of Recurrence Plots9
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit9
A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding9
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation9
Bifurcation of Dust-Acoustic Waves in Suprathermal Polarized Dusty Plasma9
Impact of Unbounded and Discrete Delays on Bogdanov–Takens Bifurcation in Integro-Differential Equations9
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model9
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect9
Stability and Global Hopf Bifurcation Analysis of a Schistosomiasis Transmission Model with Multi-Delays9
Investigation of Synchronization Control of the Memristive/Resistive-Coupled Neural Network with Noise Effect9
Bifurcation Analysis of a Planar Piecewise Linear System of Focus–Focus Type9
Hopf Bifurcation and Stability of the Double-Delay Lorenz System9
Spatiotemporal Dynamics of an Intraguild Predation Model with Intraspecies Competition9
Uncovering the Correlation Between Spindle and Ripple Dynamics and Synaptic Connections in a Hippocampal-Thalamic-Cortical Model9
Periodicity Analysis of the Logistic Map Over Ring ℤ3n9
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field9
Nontrivial Limit Cycles in a Kind of Piecewise Smooth Generalized Abel Equation9
A Geometric Numerical Integration with Simple Cell Mapping for Global Analysis of Nonlinear Dynamical Systems9
Homoclinic Bifurcations and Chaotic Dynamics in a Bistable Vibro-Impact SD Oscillator Subject to Gaussian White Noise8
A Novel Image Encryption Algorithm Based on 2D Self-Coupling Sine Map8
Compound Chaotic Systems with Composite Attractors8
Maximal Lyapunov Exponent and Smaller Alignment Index Computation Characterization of an Electrodynamic Electromechanical System Powered by Sine, Square and Triangle Waves Electrical Signals8
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator8
Oscillatory Dynamics Induced by Time Delays in the Quorum Sensing System of Pseudomonas Aeruginosa8
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination8
Grazing-Induced Evolutions of Coexisting Orbits in a Vibro-Impact Smooth–Discontinuous Oscillator with a Unilateral Adjustable Rigid Wall8
Suppressing Homoclinic Chaos for Vibro-Impact Oscillators8
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Cubic Camassa–Holm Type Equation8
Weak Centers and Local Bifurcation of Critical Periods in a Z2-Equivariant Vector Field of Degree 58
Image Compression–Encryption Algorithm Based on 3D Discrete Chaotic System and Josephus Circle8
Beam Steering and Signal Amplification Through Feedforward Networks. Part I: Transmission8
A Class of Two-Dimensional Offset-Boostable Chaotic Systems with Transcendental Functions8
Analysis and Modeling of Nonlinear Effects in Constant-Frequency Peak-Current Control8
Dimension Reduction of Collective Attention Networks8
Dynamics of a Harvested Leslie–Gower Predator–Prey Model with Simplified Holling Type IV Functional Response8
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel8
The Exact Bound of the Number of Limit Cycles Bifurcating from the Global Nilpotent Center with a Nonlinear Switching Curve8
An Investigation of the Discrete-Time Model Subject to Immigration, Harvesting, and Allee Effect8
An Integrated Reservoir Predictor Based on Spatiotemporal Information Transformation8
Co-existence of a Period Annulus and a Limit Cycle in a Class of Predator–Prey Models with Group Defense8
Periodic Perturbations of Codimension-Two Bifurcations with a Double Zero Eigenvalue in Symmetrical Dynamical Systems8
Controlled Quasi-Latitudinal Solutions for Ultra-Fast Spin-Torque Magnetization Switching8
Dynamics of a DC Motor-Driving Arm with a Circular Periodic Potential and DC/AC Voltage Input7
Generating Chaos with Saddle-Focus Homoclinic Orbit7
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation7
Efficient Neuromorphic Reservoir Computing Using Optoelectronic Memristors for Multivariate Time Series Classification7
Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop7
Fuzzy Sampled-Data Stabilization of Hidden Oscillations in a Memristor-Based Dynamical System7
Effect of Static Bifurcation on Logical Stochastic Resonance in a Symmetric Bistable System7
Memristor-Based Progressive Hierarchical Conformer Architecture for Speech Emotion Recognition7
An Efficient Medical Image Encryption Scheme Utilizing Nonuniform Cellular Automaton7
Collective Behavior in Neuronal Networks with Electrical and Hybrid Synapses: Frequency Responses of Oscillations7
A POD Reduced Order Method Applied to an Instability Problem of Rayleigh–Bénard Convection7
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm7
The Cusp Bifurcation of a Jerk System7
Investigating Distributional Chaos for Operators on Fréchet Spaces7
Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control7
Hopf Bifurcation of the Ring Unidirectionally Coupled Toda Oscillators with Distributed Delay7
Limit Cycles of Discontinuous Planar Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Systems Without Equilibria Separated by a Nonregular Line7
The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters7
Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay7
Predicting the Emergence of Multistability in a Monoparametric PWL System7
Bifurcations and Exact Traveling Wave Solutions in the Generalized Sasa–Satsuma Equation7
Author Index Volume 31 (2021)7
Spectral Signatures of Bifurcations7
Stability and Bifurcation Analysis for Mathematical Model of Acute Inflammatory Response with Time Delay7
A Novel Conservative Chaotic Circuit with a Cubic Root7
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface7
Planar Rotational Equilibria of Two Nonidentical Microswimmers7
Analysis on Capacity Sharing with Failed Match Based on the Evolutionary Game Theory6
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line6
Impact of Fear on Searching Efficiency of Prey: A Prey–Predator Model with Weak Allee Effect6
Renormalization of the Two-Dimensional Border-Collision Normal Form6
A Nonlinear Megastable System with Diamond-Shaped Oscillators6
An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z)6
Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems6
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter6
Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect6
Classification and Soliton for a Generalized Fourth-Order Dispersive Nonlinear Schrödinger Equation in a Heisenberg Spin Chain6
Codimension-2 Bifurcations in a Quantum Decision Making Model6
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom – I6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM6
Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard6
Hopf Bifurcation Analysis of a Housefly Model with Time Delay6
Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion6
Dynamic Analysis, Image Encryption Application and FPGA Implementation of a Discrete Memristor-Coupled Neural Network6
Cryptanalyzing an Image Encryption Scheme Using Synchronization of Memristor Chaotic Systems6
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors6
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers6
On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems6
Multiple Periodic Orbits of Odd-Order Delay Differential Systems6
Exact Solution of Four-Coupled Nonidentical Kuramoto Oscillators at a Full Phase Locked State6
Backward Bifurcation of an Age-Structured Epidemic Model with Partial Immunity6
Characterization of Fractal Basins Using Deep Convolutional Neural Networks6
Monotonicity of Limit Wave Speed in the pgKdV Equation with Nonlinear Terms of Arbitrarily High Degrees6
Author Index Volume 34 (2024)6
Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn6
Center Bifurcation in the Lozi Map6
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface6
A New Version of Distributional Chaos, Distributional Chaos in a Sequence, and Other Concepts of Chaos6
Analytically Tractable Reconstruction of Singular Hyperbolic and Quasi-Strange Attractors of Lorenz-Type Systems6
Stability and Bifurcation Analysis of a Spatially Size–Stage-Structured Model with Resting Phase5
Existence of Four-Intersection-Point Limit Cycles with Only Saddles Separated by Two Parallel Straight Lines in Planar Piecewise Linear Systems5
Bifurcation Dynamics of Periodic Motions in an Impact Duffing Oscillator with Two Boundaries5
Role of Allee Effect, Hunting Cooperation, and Dispersal to Prey–Predator Model5
Nonlinear Dynamics of an Oscillating Electromechanical System Based on Coil Gun Principle: Theory and Experiment5
Stochastic Canards in a Modified Leslie–Gower Population Model5
Saddle–Node Bifurcation Leading to Survival Mosquitoes5
Bifurcations and Exact Solutions of a Cantilever Beam Vibration Model Without Damping and Forced Terms5
Stability and Hopf Bifurcation Analyses of a Delayed Rumor Spreading Model and Its Discontinuous Control5
Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model5
Spatiotemporal Dynamics and Bifurcation Analysis of a Generalized Two-Prey One-Predator System with Diffusion and Double Prey-Taxes5
Limit Cycles of the Discontinuous Piecewise Differential Systems Separated by a Nonregular Line and Formed by a Linear Center and a Quadratic One5
Quasi-Periodic Orbits of a Difference Equation with Varied Coefficients5
Nonlinear Dynamics and Meshing State Transition Analysis of Spalling Defect Gears with Multi-Lubrication Conditions5
Stability of Equilibrium Prices in a Dynamic Duopoly Bertrand Game with Asymmetric Information and Cluster Spillovers5
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima5
Dynamical Phenomena Based on Chaotic Systems Without Equilibria5
Parametric Frequency Analysis of Mathieu–Duffing Equation5
Steady-State Bifurcation in Previte–Hoffman Model5
A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box5
Bifurcations of the GKdV–mKdV-Like System with Medical Applications5
Normal Form and Unfolding of Vector Field with Codimension-3 Triple Hopf Bifurcation5
Bounded Kukles Systems of Degree Three5
Chaos and Impact Characteristics Analysis of a Multistage Planetary Gear System Based on the Energy Method5
Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation5
Effects of Incorporating Double Time Delays in an Investment Savings-Liquidity Preference Money Supply (IS-LM) Model5
An Image Encryption Algorithm Based on an Epidemic Spreading Model5
From 1D Endomorphism to Multidimensional Hénon Map: Persistence of Bifurcation Structure5
Analysis of a Leslie–Gower Model with Allee Effect on Birth Rate and Saturated Fear Effect5
Hopf Bifurcation in a Reaction–Diffusion–Advection Population Model with Distributed Delay5
Dynamics of a Reaction–Diffusion–Advection System with Nonlinear Boundary Conditions5
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