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 2021-05-01 to 2025-05-01.)
ArticleCitations
Dynamic Analysis of the Multichannel Supply Chain Under Carbon Subsidy Policy73
Hopf and Zero-Double Hopf Bifurcations of 5D Hyperjerk Oscillator Network System63
Global Stability and Hopf Bifurcation for a Stage Structured Model with Competition for Food60
Author Index Volume 32 (2022)51
Dynamic Characteristics Analysis of Gear System with Coupled Thermal-Elasto-Hydrodynamic-Nonlinear Effect46
Correlation Sum and Recurrence Determinism of Interval Maps42
Global Hopf Bifurcation of State-Dependent Delay Differential Equations41
Crises of a Fractional Birhythmic Van der Pol Oscillator Using the Improved Cell Mapping Method41
Design and Dynamics of Multicavity Hyperchaotic Maps with Cylinder Attractors36
A Novel Method for Analyzing Global Bifurcation and Global Hysteresis of FGM Truncated Conical Shell Structure36
Construction and Attractor Analysis of Discrete Chaotic Systems Based on Julia Fractal Transformation34
Crossing Limit Cycles Bifurcating from Two or Three Period Annuli in Discontinuous Planar Piecewise Linear Hamiltonian Differential Systems with Three Zones34
Odd and Even Functions in the Design Problem of New Chaotic Attractors32
Higher-Order Complex Periodic Motions in a Nonlinear, Electromagnetically Tuned Mass Damper System30
A Note on the Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem30
Generalized Hopf Bifurcation of Semilinear FDEs in General Banach Spaces29
Periodic, Quasi-Periodic and Chaotic Oscillations in Two Heterogeneous AIMD/RED Network Congestion Models with State-Dependent Round-Trip Delays28
Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus27
Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances27
A Novel 4D Conservative Chaotic System with Hidden Extreme Multistability, Special Multitransient Behaviors, and Offset Boosting Behaviors25
Local and Global Dynamics of a Ratio-Dependent Holling–Tanner Predator–Prey Model with Strong Allee Effect24
2D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I23
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting22
Blue-Sky Catastrophic Bifurcations Behind Emergence and Disappearance of Quasiperiodic Rubbing Oscillations in a Piecewise Smooth Rotor–Stator System22
Hopf Bifurcation in Oncolytic Therapeutic Modeling: Viruses as Anti-Tumor Means with Viral Lytic Cycle22
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 Schemes21
Learning Reactive Islands of the Voter97 System21
Bifurcation and Geometric Singular Perturbation Analysis of a Multi-timescale Pituitary Model21
Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems21
A Two-Dimensional Discrete Memristor Map: Analysis and Implementation20
Turing–Hopf Bifurcation Analysis of the Sel’kov–Schnakenberg System20
Immune–Pathogen Dynamics20
Magneto-Aero-Elastic Superharmonic and Subharmonic Resonances, Bifurcations and Chaos of Conductive Spinning Circular Plates20
Torus and Hyperchaos in 3D Lotka–Volterra Map19
Joint Optimization–Encryption Model Based on Auto Encoder Neural Network, Variable-Length Dynamic S-Box and New Stream Encryption18
A Review of Lorenz’s Models from 1960 to 200818
A Fast Hyperchaotic Image Encryption Scheme17
Chance and Chaos in an Adaptive Daisyworld Ecological System17
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response17
A Novel Nonideal Flux-Controlled Memristor Model for Generating Arbitrary Multi-Double-Scroll and Multi-Double-Wing Attractors16
2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – II16
Complicated Boundaries of the Attraction Basin in a Class of Three-Dimensional Polynomial Systems16
Emergence of Hidden Strange Nonchaotic Attractors in a Rational Memristive Map16
Triple-Coupling Cellular Automata and Their Application to Image Encryption16
Bifurcation and Exact Solutions of a Concatenation Physical Model15
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – IV15
Turing–Hopf Bifurcation Coinduced by Diffusion and Delay in Gierer–Meinhardt Systems15
Dynamics of a New Delayed Glucose–Insulin Model with Obesity15
The Diffusive Lotka–Volterra Competitive Model with Advection Term: Exclusion, Coexistence and Multiplicity15
Entropic Regression Dynamic Mode Decomposition (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models15
Dynamics of Generalized Tangent-Like Maps14
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise14
The Complexity of Investment Spillover from New-Type Agricultural Business Entities to Small-Scale Farmers14
A Generalized Beddington Host–Parasitoid Model with an Arbitrary Parasitism Escape Function14
Dynamic Survivability in Nonlinear Oscillation Systems with Attractive–Repulsive Interaction14
Effective Pest Control Through Natural Predators: A Dynamical Plant–Pest–Predator Model13
Analyzing the Synergistic Effects of Population and Pollution on Forest Resources: A Mathematical Model13
Measuring and Locating Zones of Chaos and Irregularity by Application of High Spectral Chaotic Global Variants13
Ultra-Chaos in the Motion of Walking Droplet13
Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays13
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation13
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding13
Investigating the Relationship Between Tumor Cells, Healthy Tissue, and an Active Immune System in a Mathematical Model of Cancer Cell Growth13
Bifurcation Analysis of a Bounded Rational Duopoly Game with Consumer Surplus13
Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps13
Pure-Attention-Based Multifunction Memristive Neuromorphic Circuit and System13
Multiple Time Delays Induced Dynamics of p53 Gene Regulatory Network13
Detecting Correlations in Desynchronized Chaotic Chimera States12
Predator–Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation12
A Versatile Image Encryption Scheme Based on Optical Hologram Technology and Chess Rules12
Torus-Breakdown Near a Heteroclinic Attractor: A Case Study12
Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System12
Chaotic Model of Muscle and Joint Interactions Based on CPG for Rehabilitation of Incomplete Spinal Cord Injury Patients12
Bifurcation Analysis of a Diffusive Two-Species Model with Memory-Based Cross-Diffusions12
Dynamics of a Within-Host Virus Infection Model with Multiple Pathways: Stability Switch and Global Stability12
Stability Switches, Hopf Bifurcation and Chaotic Dynamics in Simple Epidemic Model with State-Dependent Delay12
On the Integrability of the Sprott Cubic Conservative Jerk System12
Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries11
Influences of Media-Induced Awareness and Sanitation Practices on Cholera Epidemic: A Study of Bifurcation and Optimal Control11
Multi-Moment Multiscale Local Sample Entropy and Its Application to Complex Physiological Time Series11
Arnold Tongue-Like Structures and Coexisting Attractors in the Memristive Muthuswamy–Chua–Ginoux Circuit Model11
Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ211
Analyzing Hippocampal Neural Dynamics Under Acetylcholine Deficiency Related to Alzheimer’s Disease11
Propagation Effect of Epileptic Seizures in a Coupled Thalamocortical Network11
Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem11
Optimal and Poor Synchronizations of Directionally Coupled Phase-Coherent Chaotic Oscillators11
A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System11
On the Absolutely Continuous Invariant Measures for Random Maps11
Deterministic Ratchet Transport of Impurities in Fluids10
Grazing-Induced Dynamics of the Piecewise-Linear Chua’s Circuit10
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model10
Ultradian Rhythmicity and Chaotic Behaviors in the Integrate-and-Fire Model of a Neuroendocrine System10
Memcapacitor-Coupled Chebyshev Hyperchaotic Map10
Bifurcation and Path-Following Analysis of Periodic Orbits of a Fermi Oscillator Model10
Period-1 to Period-4 Motions in a 5D Lorenz System10
Bifurcation Analysis of Brain Connectivity Regulated Neural Oscillations in Schizophrenia10
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom10
Dynamics of a Mechanical System with Curve of Equilibria: Cosymmetry and Multistability10
At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones10
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I10
Approximating the Splitting Point of the Swarmalator Model9
Leader Selection and Dynamics Analysis under Leader-Based Collective Bargaining for Buyers’ Alliance9
Bifurcation Analysis for Two-Species Commensalism (Amensalism) Systems with Distributed Delays9
Modeling the Effect of TV and Social Media Advertisements on the Dynamics of Vector-Borne Disease Malaria9
Analysis of Parameter Space, Bifurcation and Symbolic Dynamics of Evolutionary Strategies on a One-Dimensional Regular Lattice9
Temporally Stochastic Cellular Automata: Classes and Dynamics9
Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials9
Spatiotemporal Dynamics of an Intraguild Predation Model with Intraspecies Competition9
Stability Analysis and Simulation of a Delayed Dengue Transmission Model with Logistic Growth and Nonlinear Incidence Rate9
Periodicity Analysis of the Logistic Map Over Ring ℤ3n9
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect9
3D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I9
Dynamics of Alternative States and Basin Transition of a Plant-Volatile-Induced Tritrophic System9
Julia Sets and Their Control in a Three-Dimensional Discrete Fractional-Order Financial Model9
Transition and Propagation of Epilepsy in an Improved Epileptor Model Coupled with Astrocyte9
Type II Intermittency Route to Hidden Attractor in Modified Lorenz System9
Bifurcation Solutions to the Templator Model in Chemical Self-Replication9
Hopf Bifurcation and Stability of the Double-Delay Lorenz System8
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect8
A Geometric Numerical Integration with Simple Cell Mapping for Global Analysis of Nonlinear Dynamical Systems8
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit8
Dynamic Analysis and Fractional-Order Terminal Sliding Mode Control of a Fractional-Order Buck Converter Operating in Discontinuous Conduction Mode8
Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates8
Unraveling Chaos, Transition and Dynamical Complexities in a Generalized Predator–Prey Model with Cooperation-Induced Fear and Gestation Delay8
The Visual Boundary Recurrence Plot: A Closer Look into the Dynamics of Recurrence Plots8
TSSM: Three-State Switchable Memristor Model Based on Ag/TiOx Nanobelt/Ti Configuration8
Nontrivial Limit Cycles in a Kind of Piecewise Smooth Generalized Abel Equation8
A Class of Two-Dimensional Offset-Boostable Chaotic Systems with Transcendental Functions8
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation8
Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface8
Uncovering the Correlation Between Spindle and Ripple Dynamics and Synaptic Connections in a Hippocampal-Thalamic-Cortical Model8
Analysis and Modeling of Nonlinear Effects in Constant-Frequency Peak-Current Control8
Bifurcation Analysis of a Planar Piecewise Linear System of Focus–Focus Type8
Hopf Bifurcation Analysis of a Nose Landing Gear System of Aircraft8
Stability and Global Hopf Bifurcation Analysis of a Schistosomiasis Transmission Model with Multi-Delays8
Investigation of Synchronization Control of the Memristive/Resistive-Coupled Neural Network with Noise Effect8
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field8
A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding8
Grazing-Induced Evolutions of Coexisting Orbits in a Vibro-Impact Smooth–Discontinuous Oscillator with a Unilateral Adjustable Rigid Wall7
Analytical Studies of SWCNTs Embedded in Nonlinear Viscous Elastic Media and the Chaotic Effect of Its Various Parameters7
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Cubic Camassa–Holm Type Equation7
Suppressing Homoclinic Chaos for Vibro-Impact Oscillators7
Periodic Perturbations of Codimension-Two Bifurcations with a Double Zero Eigenvalue in Symmetrical Dynamical Systems7
Bifurcation in a New Fractional Model of Cerebral Aneurysm at the Circle of Willis7
Limit Cycles of Discontinuous Planar Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Systems Without Equilibria Separated by a Nonregular Line7
An Integrated Reservoir Predictor Based on Spatiotemporal Information Transformation7
Dynamics of a Harvested Leslie–Gower Predator–Prey Model with Simplified Holling Type IV Functional Response7
Bifurcation of Dust-Acoustic Waves in Suprathermal Polarized Dusty Plasma7
Controlling Bifurcation in Electronic Implementation of Dynamical Systems7
Image Compression–Encryption Algorithm Based on 3D Discrete Chaotic System and Josephus Circle7
Chaos in the Periodically Parametrically Excited Lorenz System7
Controlled Quasi-Latitudinal Solutions for Ultra-Fast Spin-Torque Magnetization Switching7
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator7
Hopf Bifurcation of the Ring Unidirectionally Coupled Toda Oscillators with Distributed Delay7
Planar Rotational Equilibria of Two Nonidentical Microswimmers7
Co-existence of a Period Annulus and a Limit Cycle in a Class of Predator–Prey Models with Group Defense7
Oscillatory Dynamics Induced by Time Delays in the Quorum Sensing System of Pseudomonas Aeruginosa7
Maximal Lyapunov Exponent and Smaller Alignment Index Computation Characterization of an Electrodynamic Electromechanical System Powered by Sine, Square and Triangle Waves Electrical Signals7
Weak Centers and Local Bifurcation of Critical Periods in a Z2-Equivariant Vector Field of Degree 57
Compound Chaotic Systems with Composite Attractors7
A Novel Image Encryption Algorithm Based on 2D Self-Coupling Sine Map7
Memristor-Based Progressive Hierarchical Conformer Architecture for Speech Emotion Recognition7
Dimension Reduction of Collective Attention Networks7
Designing Twin Memristor-Based Multiscroll Systems by Varying the Flux Variable of Memristor6
Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems6
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel6
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers6
Codimension-2 Bifurcations in a Quantum Decision Making Model6
Author Index Volume 31 (2021)6
Bifurcations and Exact Traveling Wave Solutions in the Generalized Sasa–Satsuma Equation6
The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters6
Dynamics of a DC Motor-Driving Arm with a Circular Periodic Potential and DC/AC Voltage Input6
A POD Reduced Order Method Applied to an Instability Problem of Rayleigh–Bénard Convection6
Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop6
Characteristics of (α,β)-Mean Li–Yorke Chaos of Linear Operators on Banach Spaces6
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination6
The Exact Bound of the Number of Limit Cycles Bifurcating from the Global Nilpotent Center with a Nonlinear Switching Curve6
Homoclinic Bifurcations and Chaotic Dynamics in a Bistable Vibro-Impact SD Oscillator Subject to Gaussian White Noise6
Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control6
Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay6
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface6
An Efficient Medical Image Encryption Scheme Utilizing Nonuniform Cellular Automaton6
The Cusp Bifurcation of a Jerk System6
A Novel Conservative Chaotic Circuit with a Cubic Root6
Stability and Bifurcation Analysis for Mathematical Model of Acute Inflammatory Response with Time Delay6
An Investigation of the Discrete-Time Model Subject to Immigration, Harvesting, and Allee Effect6
Breaking the Symmetry in Queues with Delayed Information6
Beam Steering and Signal Amplification Through Feedforward Networks. Part I: Transmission6
Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect6
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter6
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm6
Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn6
Efficient Neuromorphic Reservoir Computing Using Optoelectronic Memristors for Multivariate Time Series Classification6
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors5
An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z)5
Cryptanalyzing an Image Encryption Scheme Using Synchronization of Memristor Chaotic Systems5
Effect of Static Bifurcation on Logical Stochastic Resonance in a Symmetric Bistable System5
Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori5
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface5
Nonlinear Dynamics and Meshing State Transition Analysis of Spalling Defect Gears with Multi-Lubrication Conditions5
Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion5
From 1D Endomorphism to Multidimensional Hénon Map: Persistence of Bifurcation Structure5
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line5
Bifurcations of Nonlinear Waves in the Generalized KdV–mKdV-Like Equation5
Renormalization of the Two-Dimensional Border-Collision Normal Form5
Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model5
Dynamic Analysis, Image Encryption Application and FPGA Implementation of a Discrete Memristor-Coupled Neural Network5
Exact Solution of Four-Coupled Nonidentical Kuramoto Oscillators at a Full Phase Locked State5
Classification and Soliton for a Generalized Fourth-Order Dispersive Nonlinear Schrödinger Equation in a Heisenberg Spin Chain5
A New Version of Distributional Chaos, Distributional Chaos in a Sequence, and Other Concepts of Chaos5
Generating Chaos with Saddle-Focus Homoclinic Orbit5
On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems5
Dynamics of Dissipative Systems with Hamiltonian Structures5
A Nonlinear Megastable System with Diamond-Shaped Oscillators5
Characterization of Fractal Basins Using Deep Convolutional Neural Networks5
An Image Encryption Algorithm Based on an Epidemic Spreading Model5
Collective Behavior in Neuronal Networks with Electrical and Hybrid Synapses: Frequency Responses of Oscillations5
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom – I5
Fuzzy Sampled-Data Stabilization of Hidden Oscillations in a Memristor-Based Dynamical System5
Author Index Volume 34 (2024)5
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation5
Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard5
Center Bifurcation in the Lozi Map5
Investigating Distributional Chaos for Operators on Fréchet Spaces5
Spectral Signatures of Bifurcations5
Hopf Bifurcation Analysis of a Housefly Model with Time Delay5
Saddle–Node Bifurcation Leading to Survival Mosquitoes5
Analysis on Capacity Sharing with Failed Match Based on the Evolutionary Game Theory5
Dynamical Phenomena Based on Chaotic Systems Without Equilibria5
Impact of Fear on Searching Efficiency of Prey: A Prey–Predator Model with Weak Allee Effect5
Global Phase Diagrams of Three Point Vortices5
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM5
Predicting the Emergence of Multistability in a Monoparametric PWL System5
Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator5
Nonlinear Vibration of Bolted Rotor Bearing System Accounting for the Bending Stiffness Characteristics of the Connection Interface4
Intervention Time in Target-Oriented Chaos Control4
All Possible Bursting Attractors in the Neighborhood of Hopf Bifurcation Point Under Periodic Excitation4
Networks and Bifurcations of Eccentric Orbits in Exoplanetary Systems4
A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box4
Neurodynamics of Different Neurons Based on a Memristor with S-Type and N-Type Locally Active Domains4
Bifurcation-Based Dynamical Stability and Coupling Analysis of Dual-Input Buck-Boost DC–DC Converters4
New Bursting Patterns in the Lü System Driven by Orthogonal Parametric Excitation and External Excitation4
Minimal Chaotic Networks of Linear Neuron-Like Elements with Single Rectification: Three Prototypes4
Local-Activity and Simultaneous Zero-Hopf Bifurcations Leading to Multistability in a Memristive Circuit4
Multifractal Invariant Measure of Coupled Chaotic Logistic Maps4
Dynamics and Bifurcations in Filippov Type of Competitive and Symbiosis Systems4
Synchronization of Generalized Lorenz Systems in a Loop4
Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity4
Stability and Bifurcation Analysis of Two-Species Prey–Predator Model Incorporating External Factors4
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