International Journal of Bifurcation and Chaos

Papers
(The median citation count of International Journal of Bifurcation and Chaos is 1. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Hopf and Zero-Double Hopf Bifurcations of 5D Hyperjerk Oscillator Network System82
Global Stability and Hopf Bifurcation for a Stage Structured Model with Competition for Food65
Author Index Volume 32 (2022)61
Correlation Sum and Recurrence Determinism of Interval Maps52
Crises of a Fractional Birhythmic Van der Pol Oscillator Using the Improved Cell Mapping Method46
Design and Dynamics of Multicavity Hyperchaotic Maps with Cylinder Attractors43
Construction and Attractor Analysis of Discrete Chaotic Systems Based on Julia Fractal Transformation42
A Note on the Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem41
Generalized Hopf Bifurcation of Semilinear FDEs in General Banach Spaces39
Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus38
A Novel 4D Conservative Chaotic System with Hidden Extreme Multistability, Special Multitransient Behaviors, and Offset Boosting Behaviors35
Local and Global Dynamics of a Ratio-Dependent Holling–Tanner Predator–Prey Model with Strong Allee Effect34
A New Mega-Stable System with a Mosaic Pattern and Its Hamilton Energy Analysis32
2D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I32
Hopf Bifurcation in Oncolytic Therapeutic Modeling: Viruses as Anti-Tumor Means with Viral Lytic Cycle31
Global Hopf Bifurcation of State-Dependent Delay Differential Equations31
Crossing Limit Cycles Bifurcating from Two or Three Period Annuli in Discontinuous Planar Piecewise Linear Hamiltonian Differential Systems with Three Zones29
Bifurcation and Geometric Singular Perturbation Analysis of a Multi-timescale Pituitary Model29
Dynamic Characteristics Analysis of Gear System with Coupled Thermal-Elasto-Hydrodynamic-Nonlinear Effect28
Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances27
Higher-Order Complex Periodic Motions in a Nonlinear, Electromagnetically Tuned Mass Damper System26
Blue-Sky Catastrophic Bifurcations Behind Emergence and Disappearance of Quasiperiodic Rubbing Oscillations in a Piecewise Smooth Rotor–Stator System24
Odd and Even Functions in the Design Problem of New Chaotic Attractors24
A Novel Method for Analyzing Global Bifurcation and Global Hysteresis of FGM Truncated Conical Shell Structure23
Dynamic Analysis of the Multichannel Supply Chain Under Carbon Subsidy Policy23
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting22
Learning Reactive Islands of the Voter97 System22
Transition of Chimera States and Synchronization in Two-Layer Networks of Coupled Hindmarsh–Rose Neurons22
Cryptanalysis of Some Self-Synchronous Chaotic Stream Ciphers and Their Improved Schemes22
Torus and Hyperchaos in 3D Lotka–Volterra Map21
Chance and Chaos in an Adaptive Daisyworld Ecological System21
Joint Optimization–Encryption Model Based on Auto Encoder Neural Network, Variable-Length Dynamic S-Box and New Stream Encryption21
Immune–Pathogen Dynamics21
Emergence of Hidden Strange Nonchaotic Attractors in a Rational Memristive Map21
Turing–Hopf Bifurcation Coinduced by Diffusion and Delay in Gierer–Meinhardt Systems20
2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – II20
The Diffusive Lotka–Volterra Competitive Model with Advection Term: Exclusion, Coexistence and Multiplicity19
Dynamics of a New Delayed Glucose–Insulin Model with Obesity19
Bifurcation and Exact Solutions of a Concatenation Physical Model18
Triple-Coupling Cellular Automata and Their Application to Image Encryption17
Turing–Hopf Bifurcation Analysis of the Sel’kov–Schnakenberg System17
A Review of Lorenz’s Models from 1960 to 200817
Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems17
Magneto-Aero-Elastic Superharmonic and Subharmonic Resonances, Bifurcations and Chaos of Conductive Spinning Circular Plates17
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – IV17
Dynamic Survivability in Nonlinear Oscillation Systems with Attractive–Repulsive Interaction16
Complicated Boundaries of the Attraction Basin in a Class of Three-Dimensional Polynomial Systems16
A Two-Dimensional Discrete Memristor Map: Analysis and Implementation16
The Complexity of Investment Spillover from New-Type Agricultural Business Entities to Small-Scale Farmers15
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response15
Entropic Regression Dynamic Mode Decomposition (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models15
A Fast Hyperchaotic Image Encryption Scheme15
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise15
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom14
Effective Pest Control Through Natural Predators: A Dynamical Plant–Pest–Predator Model14
Analyzing the Synergistic Effects of Population and Pollution on Forest Resources: A Mathematical Model14
Chaotic Model of Muscle and Joint Interactions Based on CPG for Rehabilitation of Incomplete Spinal Cord Injury Patients14
Investigating the Relationship Between Tumor Cells, Healthy Tissue, and an Active Immune System in a Mathematical Model of Cancer Cell Growth14
Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps14
Pure-Attention-Based Multifunction Memristive Neuromorphic Circuit and System14
A Generalized Beddington Host–Parasitoid Model with an Arbitrary Parasitism Escape Function14
Ultra-Chaos in the Motion of Walking Droplet14
Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays14
Dynamics of Generalized Tangent-Like Maps13
On the Absolutely Continuous Invariant Measures for Random Maps13
Optimal and Poor Synchronizations of Directionally Coupled Phase-Coherent Chaotic Oscillators13
Torus-Breakdown Near a Heteroclinic Attractor: A Case Study13
Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System13
Propagation Effect of Epileptic Seizures in a Coupled Thalamocortical Network13
On the Integrability of the Sprott Cubic Conservative Jerk System13
Stability Switches, Hopf Bifurcation and Chaotic Dynamics in Simple Epidemic Model with State-Dependent Delay13
Bifurcation Analysis of a Diffusive Two-Species Model with Memory-Based Cross-Diffusions13
Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem13
Analyzing Hippocampal Neural Dynamics Under Acetylcholine Deficiency Related to Alzheimer’s Disease12
Influences of Media-Induced Awareness and Sanitation Practices on Cholera Epidemic: A Study of Bifurcation and Optimal Control12
Predator–Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation12
Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ212
Deterministic Ratchet Transport of Impurities in Fluids12
Arnold Tongue-Like Structures and Coexisting Attractors in the Memristive Muthuswamy–Chua–Ginoux Circuit Model12
Dynamics of a Within-Host Virus Infection Model with Multiple Pathways: Stability Switch and Global Stability12
A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System12
A Versatile Image Encryption Scheme Based on Optical Hologram Technology and Chess Rules12
Measuring and Locating Zones of Chaos and Irregularity by Application of High Spectral Chaotic Global Variants12
Bifurcation Analysis of a Bounded Rational Duopoly Game with Consumer Surplus12
3D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I11
Grazing-Induced Dynamics of the Piecewise-Linear Chua’s Circuit11
Multi-Moment Multiscale Local Sample Entropy and Its Application to Complex Physiological Time Series11
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding11
Dynamics of Alternative States and Basin Transition of a Plant-Volatile-Induced Tritrophic System11
Bifurcation Analysis for Two-Species Commensalism (Amensalism) Systems with Distributed Delays11
Detecting Correlations in Desynchronized Chaotic Chimera States11
Memcapacitor-Coupled Chebyshev Hyperchaotic Map11
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation11
Bifurcation Solutions to the Templator Model in Chemical Self-Replication11
Multiple Time Delays Induced Dynamics of p53 Gene Regulatory Network11
Bifurcation and Path-Following Analysis of Periodic Orbits of a Fermi Oscillator Model11
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model11
Stability Analysis and Simulation of a Delayed Dengue Transmission Model with Logistic Growth and Nonlinear Incidence Rate10
Type II Intermittency Route to Hidden Attractor in Modified Lorenz System10
At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones10
Leader Selection and Dynamics Analysis under Leader-Based Collective Bargaining for Buyers’ Alliance10
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I10
Spatiotemporal Dynamics of an Intraguild Predation Model with Intraspecies Competition10
Transition and Propagation of Epilepsy in an Improved Epileptor Model Coupled with Astrocyte10
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect10
Unraveling Chaos, Transition and Dynamical Complexities in a Generalized Predator–Prey Model with Cooperation-Induced Fear and Gestation Delay10
Dynamics of a Mechanical System with Curve of Equilibria: Cosymmetry and Multistability10
Bifurcation Analysis of Brain Connectivity Regulated Neural Oscillations in Schizophrenia10
Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials10
Modeling the Effect of TV and Social Media Advertisements on the Dynamics of Vector-Borne Disease Malaria10
Period-1 to Period-4 Motions in a 5D Lorenz System10
Approximating the Splitting Point of the Swarmalator Model10
Temporally Stochastic Cellular Automata: Classes and Dynamics10
Ultradian Rhythmicity and Chaotic Behaviors in the Integrate-and-Fire Model of a Neuroendocrine System10
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field9
Bifurcation Analysis of a Planar Piecewise Linear System of Focus–Focus Type9
Nontrivial Limit Cycles in a Kind of Piecewise Smooth Generalized Abel Equation9
Analysis of Parameter Space, Bifurcation and Symbolic Dynamics of Evolutionary Strategies on a One-Dimensional Regular Lattice9
Stability and Global Hopf Bifurcation Analysis of a Schistosomiasis Transmission Model with Multi-Delays9
Uncovering the Correlation Between Spindle and Ripple Dynamics and Synaptic Connections in a Hippocampal-Thalamic-Cortical Model9
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect9
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
A Class of Two-Dimensional Offset-Boostable Chaotic Systems with Transcendental Functions9
Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates9
Julia Sets and Their Control in a Three-Dimensional Discrete Fractional-Order Financial Model9
Analysis and Modeling of Nonlinear Effects in Constant-Frequency Peak-Current Control9
Hopf Bifurcation and Stability of the Double-Delay Lorenz System9
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit9
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation9
Hopf Bifurcation Analysis of a Nose Landing Gear System of Aircraft9
Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface9
Periodicity Analysis of the Logistic Map Over Ring ℤ3n9
A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding9
Investigation of Synchronization Control of the Memristive/Resistive-Coupled Neural Network with Noise Effect9
Maximal Lyapunov Exponent and Smaller Alignment Index Computation Characterization of an Electrodynamic Electromechanical System Powered by Sine, Square and Triangle Waves Electrical Signals8
Image Compression–Encryption Algorithm Based on 3D Discrete Chaotic System and Josephus Circle8
Memristor-Based Progressive Hierarchical Conformer Architecture for Speech Emotion Recognition8
An Investigation of the Discrete-Time Model Subject to Immigration, Harvesting, and Allee Effect8
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Cubic Camassa–Holm Type Equation8
A Novel Image Encryption Algorithm Based on 2D Self-Coupling Sine Map8
Suppressing Homoclinic Chaos for Vibro-Impact Oscillators8
Planar Rotational Equilibria of Two Nonidentical Microswimmers8
TSSM: Three-State Switchable Memristor Model Based on Ag/TiOx Nanobelt/Ti Configuration8
Chaos in the Periodically Parametrically Excited Lorenz System8
An Integrated Reservoir Predictor Based on Spatiotemporal Information Transformation8
The Exact Bound of the Number of Limit Cycles Bifurcating from the Global Nilpotent Center with a Nonlinear Switching Curve8
Breaking the Symmetry in Queues with Delayed Information8
Dynamics of a Harvested Leslie–Gower Predator–Prey Model with Simplified Holling Type IV Functional Response8
Bifurcation of Dust-Acoustic Waves in Suprathermal Polarized Dusty Plasma8
A Geometric Numerical Integration with Simple Cell Mapping for Global Analysis of Nonlinear Dynamical Systems8
Limit Cycles of Discontinuous Planar Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Systems Without Equilibria Separated by a Nonregular Line8
Hopf Bifurcation of the Ring Unidirectionally Coupled Toda Oscillators with Distributed Delay8
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel8
Controlled Quasi-Latitudinal Solutions for Ultra-Fast Spin-Torque Magnetization Switching8
Dimension Reduction of Collective Attention Networks8
Co-existence of a Period Annulus and a Limit Cycle in a Class of Predator–Prey Models with Group Defense8
Author Index Volume 31 (2021)7
Characteristics of (α,β)-Mean Li–Yorke Chaos of Linear Operators on Banach Spaces7
Bifurcation in a New Fractional Model of Cerebral Aneurysm at the Circle of Willis7
Generating Chaos with Saddle-Focus Homoclinic Orbit7
Oscillatory Dynamics Induced by Time Delays in the Quorum Sensing System of Pseudomonas Aeruginosa7
Spectral Signatures of Bifurcations7
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination7
Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn7
Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay7
Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop7
On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems7
Grazing-Induced Evolutions of Coexisting Orbits in a Vibro-Impact Smooth–Discontinuous Oscillator with a Unilateral Adjustable Rigid Wall7
Codimension-2 Bifurcations in a Quantum Decision Making Model7
Stability and Bifurcation Analysis for Mathematical Model of Acute Inflammatory Response with Time Delay7
Periodic Perturbations of Codimension-Two Bifurcations with a Double Zero Eigenvalue in Symmetrical Dynamical Systems7
Weak Centers and Local Bifurcation of Critical Periods in a Z2-Equivariant Vector Field of Degree 57
Investigating Distributional Chaos for Operators on Fréchet Spaces7
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator7
Efficient Neuromorphic Reservoir Computing Using Optoelectronic Memristors for Multivariate Time Series Classification7
Collective Behavior in Neuronal Networks with Electrical and Hybrid Synapses: Frequency Responses of Oscillations7
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm7
Fuzzy Sampled-Data Stabilization of Hidden Oscillations in a Memristor-Based Dynamical System7
Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control7
Dynamics of a DC Motor-Driving Arm with a Circular Periodic Potential and DC/AC Voltage Input7
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers7
Homoclinic Bifurcations and Chaotic Dynamics in a Bistable Vibro-Impact SD Oscillator Subject to Gaussian White Noise7
A POD Reduced Order Method Applied to an Instability Problem of Rayleigh–Bénard Convection7
Compound Chaotic Systems with Composite Attractors7
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors7
Beam Steering and Signal Amplification Through Feedforward Networks. Part I: Transmission7
Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect7
Classification and Soliton for a Generalized Fourth-Order Dispersive Nonlinear Schrödinger Equation in a Heisenberg Spin Chain7
The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters7
An Efficient Medical Image Encryption Scheme Utilizing Nonuniform Cellular Automaton7
Dynamic Analysis, Image Encryption Application and FPGA Implementation of a Discrete Memristor-Coupled Neural Network6
Bifurcations and Exact Traveling Wave Solutions in the Generalized Sasa–Satsuma Equation6
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface6
The Cusp Bifurcation of a Jerk System6
A New Version of Distributional Chaos, Distributional Chaos in a Sequence, and Other Concepts of Chaos6
Cryptanalyzing an Image Encryption Scheme Using Synchronization of Memristor Chaotic Systems6
Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion6
Backward Bifurcation of an Age-Structured Epidemic Model with Partial Immunity6
An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z)6
Effect of Static Bifurcation on Logical Stochastic Resonance in a Symmetric Bistable System6
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation6
Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems6
Predicting the Emergence of Multistability in a Monoparametric PWL System6
Center Bifurcation in the Lozi Map6
An Image Encryption Algorithm Based on an Epidemic Spreading Model6
Characterization of Fractal Basins Using Deep Convolutional Neural Networks6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM6
Dynamics of Dissipative Systems with Hamiltonian Structures6
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter6
Designing Twin Memristor-Based Multiscroll Systems by Varying the Flux Variable of Memristor6
A Novel Conservative Chaotic Circuit with a Cubic Root6
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface6
Saddle–Node Bifurcation Leading to Survival Mosquitoes6
Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator6
Dynamical Phenomena Based on Chaotic Systems Without Equilibria6
Author Index Volume 34 (2024)6
From 1D Endomorphism to Multidimensional Hénon Map: Persistence of Bifurcation Structure6
Steady-State Bifurcation in Previte–Hoffman Model5
Bifurcations of Nonlinear Waves in the Generalized KdV–mKdV-Like Equation5
Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard5
Renormalization of the Two-Dimensional Border-Collision Normal Form5
A New Class of Circulant Chaotic Systems with Unidirectional or Mutual Coupling: Theoretical Investigation and Arduino-Based Electronic Implementation5
Quasi-Periodic Orbits of a Difference Equation with Varied Coefficients5
Bounded Kukles Systems of Degree Three5
Parametric Frequency Analysis of Mathieu–Duffing Equation5
Hopf Bifurcation in a Reaction–Diffusion–Advection Population Model with Distributed Delay5
Comparison of Competition Strategy and Retail Mode of Asymmetric Emission Reduction in Supply Chain Under Cap-and-Trade Regulation5
Dynamic Analysis in a Plankton Ecosystem Involving Two Delays5
Stability of Equilibrium Prices in a Dynamic Duopoly Bertrand Game with Asymmetric Information and Cluster Spillovers5
Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori5
Hopf Bifurcation Analysis of a Housefly Model with Time Delay5
Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation5
Exact Solution of Four-Coupled Nonidentical Kuramoto Oscillators at a Full Phase Locked State5
Bifurcation Dynamics of Periodic Motions in an Impact Duffing Oscillator with Two Boundaries5
Nonlinear Dynamics and Meshing State Transition Analysis of Spalling Defect Gears with Multi-Lubrication Conditions5
Existence of Four-Intersection-Point Limit Cycles with Only Saddles Separated by Two Parallel Straight Lines in Planar Piecewise Linear Systems5
An Image Encryption Algorithm Based on HNN with Memristor5
Stability and Hopf Bifurcation Analyses of a Delayed Rumor Spreading Model and Its Discontinuous Control5
Role of Allee Effect, Hunting Cooperation, and Dispersal to Prey–Predator Model5
Chaos and Impact Characteristics Analysis of a Multistage Planetary Gear System Based on the Energy Method5
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line5
Analysis on Capacity Sharing with Failed Match Based on the Evolutionary Game Theory5
Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model5
Bifurcation and Chaos in a Diffusive Prey–Predator Model Incorporating Fear Effect on Prey and Team Hunting by Predator with Anti-Predation Response Delay5
Nonlinear Dynamics of an Oscillating Electromechanical System Based on Coil Gun Principle: Theory and Experiment5
Symmetry and Network Topology in Neuronal Circuits: Complicity of Form and Function5
A Novel Approach to the Characterization of Stretching and Folding in Pursuit Tracking with Chaotic and Intermittent Behaviors5
Effects of Incorporating Double Time Delays in an Investment Savings-Liquidity Preference Money Supply (IS-LM) Model5
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima5
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