International Journal of Bifurcation and Chaos

Papers
(The TQCC of International Journal of Bifurcation and Chaos is 4. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Crises of a Fractional Birhythmic Van der Pol Oscillator Using the Improved Cell Mapping Method82
A Note on the Nonlinear Stability of Equilibrium Points in the Planar Equilateral Restricted Mass-Unequal Four-Body Problem70
Global Hopf Bifurcation of State-Dependent Delay Differential Equations62
Hopf Bifurcation in Oncolytic Therapeutic Modeling: Viruses as Anti-Tumor Means with Viral Lytic Cycle55
Generalized Hopf Bifurcation of Semilinear FDEs in General Banach Spaces45
Odd and Even Functions in the Design Problem of New Chaotic Attractors44
Hopf and Zero-Double Hopf Bifurcations of 5D Hyperjerk Oscillator Network System42
Correlation Sum and Recurrence Determinism of Interval Maps42
2D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I41
A Novel Method for Analyzing Global Bifurcation and Global Hysteresis of FGM Truncated Conical Shell Structure39
Crossing Limit Cycles Bifurcating from Two or Three Period Annuli in Discontinuous Planar Piecewise Linear Hamiltonian Differential Systems with Three Zones35
Transition of Chimera States and Synchronization in Two-Layer Networks of Coupled Hindmarsh–Rose Neurons34
Construction and Attractor Analysis of Discrete Chaotic Systems Based on Julia Fractal Transformation34
Design and Dynamics of Multicavity Hyperchaotic Maps with Cylinder Attractors32
Author Index Volume 32 (2022)31
A Novel 4D Conservative Chaotic System with Hidden Extreme Multistability, Special Multitransient Behaviors, and Offset Boosting Behaviors31
Bifurcation and Geometric Singular Perturbation Analysis of a Multi-timescale Pituitary Model29
Existence, Number and Stability of Periodic Orbits Induced by Homoclinic Loops in Three-Dimensional Piecewise Linear Systems with an Admissible Saddle-Focus28
Blue-Sky Catastrophic Bifurcations Behind Emergence and Disappearance of Quasiperiodic Rubbing Oscillations in a Piecewise Smooth Rotor–Stator System28
Dynamic Characteristics Analysis of Gear System with Coupled Thermal-Elasto-Hydrodynamic-Nonlinear Effect27
Dynamic Analysis of the Multichannel Supply Chain Under Carbon Subsidy Policy25
Higher-Order Complex Periodic Motions in a Nonlinear, Electromagnetically Tuned Mass Damper System25
How Network Topology Affects the Strength of Dangerous Power Grid Perturbations24
Local and Global Dynamics of a Ratio-Dependent Holling–Tanner Predator–Prey Model with Strong Allee Effect24
Continuous-Time Density-Colored Bifurcation Diagrams24
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting23
Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances23
A New Mega-Stable System with a Mosaic Pattern and Its Hamilton Energy Analysis23
Dynamics of a New Delayed Glucose–Insulin Model with Obesity22
Strictly Periodic Points of Cellular Automata with Almost Equicontinuous Points22
An Effective Cloud Image Management Scheme Based on an n-Dimensional Hyperchaotic Map with Desired Lyapunov Exponents22
Emergence of Hidden Strange Nonchaotic Attractors in a Rational Memristive Map22
Bifurcation and Exact Solutions of a Concatenation Physical Model21
Chance and Chaos in an Adaptive Daisyworld Ecological System21
Nonexistence and Uniqueness of Limit Cycles in a Class of Three-Dimensional Piecewise Linear Differential Systems19
Learning Reactive Islands of the Voter97 System19
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – IV19
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise19
Magneto-Aero-Elastic Superharmonic and Subharmonic Resonances, Bifurcations and Chaos of Conductive Spinning Circular Plates19
Turing–Hopf Bifurcation Coinduced by Diffusion and Delay in Gierer–Meinhardt Systems18
Complicated Boundaries of the Attraction Basin in a Class of Three-Dimensional Polynomial Systems18
Triple-Coupling Cellular Automata and Their Application to Image Encryption18
Immune–Pathogen Dynamics16
2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – II16
Torus and Hyperchaos in 3D Lotka–Volterra Map16
Entropic Regression Dynamic Mode Decomposition (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models16
Joint Optimization–Encryption Model Based on Auto Encoder Neural Network, Variable-Length Dynamic S-Box and New Stream Encryption16
A Fast Hyperchaotic Image Encryption Scheme15
The Diffusive Lotka–Volterra Competitive Model with Advection Term: Exclusion, Coexistence and Multiplicity15
Fold-Flip and Bogdanov–Takens Bifurcations of a Discrete Predator–Prey System with Cooperative Hunting15
A Two-Dimensional Discrete Memristor Map: Analysis and Implementation15
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response15
Twinned Locally Active Memristor-Based Chaotic Neuron15
Turing–Hopf Bifurcation Analysis of the Sel’kov–Schnakenberg System15
Dynamic Survivability in Nonlinear Oscillation Systems with Attractive–Repulsive Interaction15
Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays14
Deterministic Ratchet Transport of Impurities in Fluids14
Multiple Time Delays Induced Dynamics of p53 Gene Regulatory Network14
Investigating the Relationship Between Tumor Cells, Healthy Tissue, and an Active Immune System in a Mathematical Model of Cancer Cell Growth14
Analyzing the Synergistic Effects of Population and Pollution on Forest Resources: A Mathematical Model14
Detecting Correlations in Desynchronized Chaotic Chimera States14
A Review of Lorenz’s Models from 1960 to 200814
Propagation Effect of Epileptic Seizures in a Coupled Thalamocortical Network14
Detecting Order and Chaos by the mLE, SALI and GALI Methods in Three-Dimensional Nonlinear Yang–Mills System14
Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation13
On the Integrability of the Sprott Cubic Conservative Jerk System13
Dynamics of a Within-Host Virus Infection Model with Multiple Pathways: Stability Switch and Global Stability13
A Generalized Beddington Host–Parasitoid Model with an Arbitrary Parasitism Escape Function13
Memcapacitor-Coupled Chebyshev Hyperchaotic Map13
Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps13
Multi-Moment Multiscale Local Sample Entropy and Its Application to Complex Physiological Time Series13
Ultra-Chaos in the Motion of Walking Droplet13
Bifurcation and Path-Following Analysis of Periodic Orbits of a Fermi Oscillator Model13
On the Absolutely Continuous Invariant Measures for Random Maps13
Measuring and Locating Zones of Chaos and Irregularity by Application of High Spectral Chaotic Global Variants13
Effective Pest Control Through Natural Predators: A Dynamical Plant–Pest–Predator Model13
Predator–Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation13
Analyzing Hippocampal Neural Dynamics Under Acetylcholine Deficiency Related to Alzheimer’s Disease13
Global Attractor in the Positive Quadrant of the Lotka–Volterra System in ℝ213
Chaotic Path Planning for Mobile Robots Based on the Chen System12
Arnold Tongue-Like Structures and Coexisting Attractors in the Memristive Muthuswamy–Chua–Ginoux Circuit Model12
Chaotic Model of Muscle and Joint Interactions Based on CPG for Rehabilitation of Incomplete Spinal Cord Injury Patients12
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom12
Dynamics of Generalized Tangent-Like Maps12
Optimal and Poor Synchronizations of Directionally Coupled Phase-Coherent Chaotic Oscillators12
Stability Switches, Hopf Bifurcation and Chaotic Dynamics in Simple Epidemic Model with State-Dependent Delay12
Bifurcation Analysis of a Diffusive Two-Species Model with Memory-Based Cross-Diffusions12
Pure-Attention-Based Multifunction Memristive Neuromorphic Circuit and System12
Unveiling Pseudo-Period-Tripling Bifurcations in Nonlinear Dynamical Systems12
Influences of Media-Induced Awareness and Sanitation Practices on Cholera Epidemic: A Study of Bifurcation and Optimal Control12
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect11
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model11
A Versatile Image Encryption Scheme Based on Optical Hologram Technology and Chess Rules11
Spatiotemporal Dynamics of an Intraguild Predation Model with Intraspecies Competition11
Hopf Bifurcation Analysis of a Two-Delayed Diffusive Predator–Prey Model with Spatial Memory of Prey and Delay-Dependent Parameters11
Unraveling Chaos, Transition and Dynamical Complexities in a Generalized Predator–Prey Model with Cooperation-Induced Fear and Gestation Delay11
Temporally Stochastic Cellular Automata: Classes and Dynamics11
Ultradian Rhythmicity and Chaotic Behaviors in the Integrate-and-Fire Model of a Neuroendocrine System11
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding11
Approximating the Splitting Point of the Swarmalator Model11
Period-1 to Period-4 Motions in a 5D Lorenz System11
Dynamics of Alternative States and Basin Transition of a Plant-Volatile-Induced Tritrophic System11
Bifurcation Analysis for Two-Species Commensalism (Amensalism) Systems with Distributed Delays10
Periodicity Analysis of the Logistic Map Over Ring ℤ3n10
Modeling the Effect of TV and Social Media Advertisements on the Dynamics of Vector-Borne Disease Malaria10
Dynamics of a Mechanical System with Curve of Equilibria: Cosymmetry and Multistability10
Bifurcations and Exact Solutions of the Generalized Radhakrishnan–Kundu–Lakshmanan Equation with Four Powers of Nonlinearity10
Analysis of Parameter Space, Bifurcation and Symbolic Dynamics of Evolutionary Strategies on a One-Dimensional Regular Lattice10
Transition and Propagation of Epilepsy in an Improved Epileptor Model Coupled with Astrocyte10
Limit Cycles of Continuous Piecewise Differential Systems Formed by Linear and Quadratic Isochronous Centers I10
At Most Five Limit Cycles in a Class of Discontinuous Piecewise Linear Systems with Three Zones10
Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials10
Stability Analysis and Simulation of a Delayed Dengue Transmission Model with Logistic Growth and Nonlinear Incidence Rate10
Julia Sets and Their Control in a Three-Dimensional Discrete Fractional-Order Financial Model10
Bifurcation Solutions to the Templator Model in Chemical Self-Replication10
Type II Intermittency Route to Hidden Attractor in Modified Lorenz System10
3D Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom – I10
Bifurcation Analysis of Brain Connectivity Regulated Neural Oscillations in Schizophrenia10
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
Hopf Bifurcation and Stability of the Double-Delay Lorenz System9
Bifurcation Analysis of a Planar Piecewise Linear System of Focus–Focus Type9
Bifurcation of Dust-Acoustic Waves in Suprathermal Polarized Dusty Plasma9
Investigation of Synchronization Control of the Memristive/Resistive-Coupled Neural Network with Noise Effect9
A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding9
The Visual Boundary Recurrence Plot: A Closer Look into the Dynamics of Recurrence Plots9
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
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit9
Exploring Dynamical Matching and Recrossing on a Mesa Potential Energy Surface9
Grazing-Induced Dynamics of the Piecewise-Linear Chua’s Circuit9
Nontrivial Limit Cycles in a Kind of Piecewise Smooth Generalized Abel Equation9
Uncovering the Correlation Between Spindle and Ripple Dynamics and Synaptic Connections in a Hippocampal-Thalamic-Cortical Model9
Stability and Global Hopf Bifurcation Analysis of a Schistosomiasis Transmission Model with Multi-Delays9
Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field9
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
Analysis and Modeling of Nonlinear Effects in Constant-Frequency Peak-Current Control8
Impact of Unbounded and Discrete Delays on Bogdanov–Takens Bifurcation in Integro-Differential Equations8
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel8
Compound Chaotic Systems with Composite Attractors8
Dimension Reduction of Collective Attention Networks8
Limit Cycles of Discontinuous Planar Piecewise Systems Formed by Linear Centers and Linear Hamiltonian Systems Without Equilibria Separated by a Nonregular Line8
Maximal Lyapunov Exponent and Smaller Alignment Index Computation Characterization of an Electrodynamic Electromechanical System Powered by Sine, Square and Triangle Waves Electrical Signals8
A Novel Image Encryption Algorithm Based on 2D Self-Coupling Sine Map8
Image Compression–Encryption Algorithm Based on 3D Discrete Chaotic System and Josephus Circle8
A Geometric Numerical Integration with Simple Cell Mapping for Global Analysis of Nonlinear Dynamical Systems8
Grazing-Induced Evolutions of Coexisting Orbits in a Vibro-Impact Smooth–Discontinuous Oscillator with a Unilateral Adjustable Rigid Wall8
Memristor-Based Progressive Hierarchical Conformer Architecture for Speech Emotion Recognition8
Oscillatory Dynamics Induced by Time Delays in the Quorum Sensing System of Pseudomonas Aeruginosa8
An Integrated Reservoir Predictor Based on Spatiotemporal Information Transformation8
Periodic Perturbations of Codimension-Two Bifurcations with a Double Zero Eigenvalue in Symmetrical Dynamical Systems8
Homoclinic Bifurcations and Chaotic Dynamics in a Bistable Vibro-Impact SD Oscillator Subject to Gaussian White Noise8
The Easiest Polynomial Differential Systems in ℝ3 Having an Invariant Hyperboloid8
A Class of Two-Dimensional Offset-Boostable Chaotic Systems with Transcendental Functions8
Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates8
Planar Rotational Equilibria of Two Nonidentical Microswimmers8
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator8
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 57
A New Version of Distributional Chaos, Distributional Chaos in a Sequence, and Other Concepts of Chaos7
Suppressing Homoclinic Chaos for Vibro-Impact Oscillators7
Codimension-2 Bifurcations in a Quantum Decision Making Model7
Generating Chaos with Saddle-Focus Homoclinic Orbit7
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation7
Spectral Signatures of Bifurcations7
Author Index Volume 31 (2021)7
Stability and Bifurcation Analysis for Mathematical Model of Acute Inflammatory Response with Time Delay7
Fuzzy Sampled-Data Stabilization of Hidden Oscillations in a Memristor-Based Dynamical System7
Dynamics of a Harvested Leslie–Gower Predator–Prey Model with Simplified Holling Type IV Functional Response7
Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect7
Beam Steering and Signal Amplification Through Feedforward Networks. Part I: Transmission7
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface7
Hopf Bifurcation of the Ring Unidirectionally Coupled Toda Oscillators with Distributed Delay7
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
Investigating Distributional Chaos for Operators on Fréchet Spaces7
Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control7
On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems7
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm7
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter7
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface7
Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers7
Controlled Quasi-Latitudinal Solutions for Ultra-Fast Spin-Torque Magnetization Switching7
Classification and Soliton for a Generalized Fourth-Order Dispersive Nonlinear Schrödinger Equation in a Heisenberg Spin Chain7
Dynamics of a DC Motor-Driving Arm with a Circular Periodic Potential and DC/AC Voltage Input7
Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay7
Bifurcations and Exact Traveling Wave Solutions in the Generalized Sasa–Satsuma Equation7
Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop7
The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters7
The Cusp Bifurcation of a Jerk System7
Effect of Static Bifurcation on Logical Stochastic Resonance in a Symmetric Bistable System7
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors7
Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn6
Center Bifurcation in the Lozi Map6
Analysis on Capacity Sharing with Failed Match Based on the Evolutionary Game Theory6
Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori6
Global Phase Diagrams of Three Point Vortices6
Renormalization of the Two-Dimensional Border-Collision Normal Form6
Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM6
Author Index Volume 34 (2024)6
A Nonlinear Megastable System with Diamond-Shaped Oscillators6
Cryptanalyzing an Image Encryption Scheme Using Synchronization of Memristor Chaotic Systems6
Efficient Neuromorphic Reservoir Computing Using Optoelectronic Memristors for Multivariate Time Series Classification6
Bifurcations and Exact Solutions of the Nonlinear Schrödinger Equation with Nonlinear Dispersion6
Hopf Bifurcation Analysis of a Housefly Model with Time Delay6
An Image Encryption Algorithm Based on an Epidemic Spreading Model6
Monotonicity of Limit Wave Speed in the pgKdV Equation with Nonlinear Terms of Arbitrarily High Degrees6
Backward Bifurcation of an Age-Structured Epidemic Model with Partial Immunity6
Characterization of Fractal Basins Using Deep Convolutional Neural Networks6
3D Generating Surfaces in Hamiltonian Systems with Three Degrees of Freedom – I6
Predicting the Emergence of Multistability in a Monoparametric PWL System6
A Novel Conservative Chaotic Circuit with a Cubic Root6
Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems6
Dynamic Analysis, Image Encryption Application and FPGA Implementation of a Discrete Memristor-Coupled Neural Network6
Dynamical Phenomena Based on Chaotic Systems Without Equilibria6
Saddle–Node Bifurcation Leading to Survival Mosquitoes6
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
An Infinite Sequence of Bitransitive Sierpiński Carpets for z↦λ(z + 1 z)6
Exact Solution of Four-Coupled Nonidentical Kuramoto Oscillators at a Full Phase Locked State6
An Efficient Medical Image Encryption Scheme Utilizing Nonuniform Cellular Automaton6
Dynamics of Dissipative Systems with Hamiltonian Structures5
Stochastic Canards in a Modified Leslie–Gower Population Model5
Symmetry and Network Topology in Neuronal Circuits: Complicity of Form and Function5
Dynamics of a Reaction–Diffusion–Advection System with Nonlinear Boundary Conditions5
Effects of Incorporating Double Time Delays in an Investment Savings-Liquidity Preference Money Supply (IS-LM) Model5
Bounded Kukles Systems of Degree Three5
Dynamic Analysis in a Plankton Ecosystem Involving Two Delays5
Hopf Bifurcation in a Reaction–Diffusion–Advection Population Model with Distributed Delay5
Bifurcations of Nonlinear Waves in the Generalized KdV–mKdV-Like Equation5
Nonlinear Dynamics of an Oscillating Electromechanical System Based on Coil Gun Principle: Theory and Experiment5
Normal Form and Unfolding of Vector Field with Codimension-3 Triple Hopf Bifurcation5
Bifurcations of the GKdV–mKdV-Like System with Medical Applications5
Bifurcations and Exact Solutions of a Cantilever Beam Vibration Model Without Damping and Forced Terms5
Quasi-Periodic Orbits of a Difference Equation with Varied Coefficients5
Analysis of a Leslie–Gower Model with Allee Effect on Birth Rate and Saturated Fear Effect5
Role of Allee Effect, Hunting Cooperation, and Dispersal to Prey–Predator Model5
Steady-State Bifurcation in Previte–Hoffman Model5
Discontinuous Grazing Bifurcations-Induced Subharmonic Responses of a 2DOF Freeplay Airfoil System5
Parametric Frequency Analysis of Mathieu–Duffing Equation5
Comparison of Competition Strategy and Retail Mode of Asymmetric Emission Reduction in Supply Chain Under Cap-and-Trade Regulation5
Spatiotemporal Dynamics and Bifurcation Analysis of a Generalized Two-Prey One-Predator System with Diffusion and Double Prey-Taxes5
Chaos Through Sliding Bifurcations in a DC–DC Boost Power Converter5
Nonlinear Dynamics and Meshing State Transition Analysis of Spalling Defect Gears with Multi-Lubrication Conditions5
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima5
Slow–Fast Dynamics of a Coupled Oscillator with Periodic Excitation5
Bifurcation and Chaos in a Diffusive Prey–Predator Model Incorporating Fear Effect on Prey and Team Hunting by Predator with Anti-Predation Response Delay5
From 1D Endomorphism to Multidimensional Hénon Map: Persistence of Bifurcation Structure5
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