International Journal of Bifurcation and Chaos

Article	Citations
A New 4D Four-Wing Memristive Hyperchaotic System: Dynamical Analysis, Electronic Circuit Design, Shape Synchronization and Secure Communication	79
An Optical Image Encryption Algorithm Based on a Fractional-Order Laser Hyperchaotic System	71
Color Image Encryption with Cipher Feedback and Coupling Chaotic Map	68
Memristor Initial-Offset Boosting in Memristive HR Neuron Model with Hidden Firing Patterns	66
A Unified Chaotic System with Various Coexisting Attractors	65
An Asymmetric Image Encryption Algorithm Based on a Fractional-Order Chaotic System and the RSA Public-Key Cryptosystem	57
A New 4D Chaotic System with Coexisting Hidden Chaotic Attractors	54
Chaos in a Simplest Cyclic Memristive Neural Network	53
A Conservative Memristive System with Amplitude Control and Offset Boosting	47
Locally Active Memristor with Three Coexisting Pinched Hysteresis Loops and Its Emulator Circuit	42
A Chaotic Image Encryption Scheme Based on Genetic Central Dogma and KMP Method	38
Constructing Keyed Strong S-Box Using an Enhanced Quadratic Map	37
Coexisting Infinite Equilibria and Chaos	35
Extreme Multistability and Antimonotonicity in a Shinriki Oscillator with Two Flux-Controlled Memristors	33
Dynamical Effects of Electromagnetic Flux on Chialvo Neuron Map: Nodal and Network Behaviors	30
Preliminary Research of Chaotic Characteristics and Prediction of Short-Term Wind Speed Time Series	30
A Dream that has Come True: Chaos from a Nonlinear Circuit with a Real Memristor	29
Memcapacitor-Coupled Chebyshev Hyperchaotic Map	29
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response	29
Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type	29
Complex Dynamics of a Four-Dimensional Circuit System	28
A Fast Hyperchaotic Image Encryption Scheme	28
A New Four-Dimensional Non-Hamiltonian Conservative Hyperchaotic System	27
A New Image Encryption Algorithm with Cantor Diagonal Scrambling Based on the PUMCML System	26
Constructing a 3D Exponential Hyperchaotic Map with Application to PRNG	26

Logical Chaotic Resonance in a Bistable System	26
Construction of a Nondegenerate 2D Chaotic Map with Application to Irreversible Parallel Key Expansion Algorithm	25
Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect	24
Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population	24
Hidden Attractors with Conditional Symmetry	23
Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors	23
Effects of Low and High Neuron Activation Gradients on the Dynamics of a Simple 3D Hopfield Neural Network	22
Complex Dynamics of a Discrete-Time Prey–Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos	22
On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors	22
Fear Induced Multistability in a Predator-Prey Model	20
Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate	20
A New Chaotic System with Coexisting Attractors	19
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors	19
A Novel Nonideal Flux-Controlled Memristor Model for Generating Arbitrary Multi-Double-Scroll and Multi-Double-Wing Attractors	19
Detecting Weak Signals by Using Memristor-Involved Chua’s Circuit and Verification in Experimental Platform	19
Minimal Universal Model for Chaos in Laser with Feedback	19
Chaotic Features of a Class of Discrete Maps without Fixed Points	18
Impact of the Fear Effect on the Stability and Bifurcation of a Leslie–Gower Predator–Prey Model	18
Discovering Chaos-Based Communications by Recurrence Quantification and Quantified Return Map Analyses	18
Periodicity Analysis of the Logistic Map Over Ring ℤ3n	18
Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points	17
Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay	17
Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications	17
Fast–Slow Variable Dissection with Two Slow Variables: A Case Study on Bifurcations Underlying Bursting for Seizure and Spreading Depression	17
Codimension-One and -Two Bifurcations of a Three-Dimensional Discrete Game Model	17
A Plaintext-Related Image Encryption Algorithm Based on Compressive Sensing and a Novel Hyperchaotic System	16
Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge	16
Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos	16
Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator	16
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit	16
Presence of Megastability and Infinitely Many Equilibria in a Periodically and Quasi-Periodically Excited Single-Link Manipulator	16
Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability	16
Hopf Bifurcation for Semilinear FDEs in General Banach Spaces	16
Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator	16
Stability and Bifurcation in a Logistic Model with Allee Effect and Feedback Control	16
TSSM: Three-State Switchable Memristor Model Based on Ag/TiOx Nanobelt/Ti Configuration	15
MTL: Memristor Ternary Logic Design	15
Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator	15
A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations	15
Synchronization of a Memristor Chaotic System and Image Encryption	15
Nonlinear Dynamic Characteristics of Wind Turbine Gear System Caused by Tooth Crack Fault	15
A Simple Guide for Plotting a Proper Bifurcation Diagram	15
An Initially-Controlled Double-Scroll Hyperchaotic Map	14
Dynamics of Infectious Diseases: Local Versus Global Awareness	14
Bifurcation Patterns of Bursting within pre-Bötzinger Complex and Their Control	14
Constructing Strong S-Box by 2D Chaotic Map with Application to Irreversible Parallel Key Expansion	14
Pattern Dynamics in a Diffusive Gierer–Meinhardt Model	14
Coexisting Infinitely Many Nonchaotic Attractors in a Memristive Weight-Based Tabu Learning Neuron	14
A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System	14
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface	14

Complex Dynamics in a Closed-Loop Supply Chain with Risk Aversion and Fairness Concerns Under Supply Disruption	14
Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks	14
Dynamics and Synchronization of Complex-Valued Ring Networks	14
Multiple Hysteresis Jump Resonance in a Class of Forced Nonlinear Circuits and Systems	13
Coexisting Multi-Dynamics of a Physical SBT Memristor-Based Chaotic Circuit	13
Oscillatory and Stationary Patterns in a Diffusive Model with Delay Effect	13
Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species	13
General Modeling Method of Threshold-Type Multivalued Memristor and Its Application in Digital Logic Circuits	13
The Proto-Lorenz System in Its Chaotic Fractional and Fractal Structure	13
Complex Behavior of a Hyperchaotic TNC Oscillator: Coexisting Bursting, Space Magnetization, Control of Multistability and Application in Image Encryption Based on DNA Coding	12
Nonlinear Behavior of a Novel Switching Jerk System	12
Complex Dynamics of a Filippov Three-Species Food Chain Model	12
A Delayed Eco-Epidemiological Model with Weak Allee Effect and Disease in Prey	12
Hidden Attractor and Multistability in a Novel Memristor-Based System Without Symmetry	12
Diverse Causality Inference in Foreign Exchange Markets	12
Bifurcation Analysis of a Delay-Induced Predator–Prey Model with Allee Effect and Prey Group Defense	12
Design of a New 3D Chaotic System Producing Infinitely Many Coexisting Attractors and Its Application to Weak Signal Detection	12
Influence of the Fear Effect on a Holling Type II Prey–Predator System with a Michaelis–Menten Type Harvesting	12
Stability and Bifurcation Analysis in a Nonlinear Harvested Predator–Prey Model with Simplified Holling Type IV Functional Response	12
Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative	11
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding	11
Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation	11
Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems	11
The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I	11
Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food	11
Hearts are Poised Near the Edge of Chaos	11
Discrete Chaotification of a Modulated Logistic System	11
On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems	11
Analysis of Pricing and Service Effort in Dual-Channel Supply Chains with Showrooming Effect	11
Multi-Scroll Chaotic System Model and Its Cryptographic Application	10
Bifurcation Analysis of a Prey–Predator Model with Beddington–DeAngelis Type Functional Response and Allee Effect in Prey	10
Coexisting Attractors in a Physically Extended Lorenz System	10
Global Dynamics of an Ecosystem in Open Advective Environments	10
Dynamics of a Leslie–Gower Model with Weak Allee Effect on Prey and Fear Effect on Predator	10
Chaotification of First-Order Partial Difference Equations	10
Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities	10
Chaos Synchronization of Fractional-Order Lur’e Systems	10
Stochastic Spiking-Bursting Excitability and Transition to Chaos in a Discrete-Time Neuron Model	10
Synchronization and Pattern Formation in a Memristive Diffusive Neuron Model	10
Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model	10
Vectored Immunoprophylaxis and Cell-to-Cell Transmission in HIV Dynamics	10
Bifurcation Analysis of a Fractional-Order Simplicial SIRS System Induced by Double Delays	10
Chaos Detection and Optimal Control in a Cannibalistic Prey–Predator System with Harvesting	10
Stability, Analytic Bifurcation Structure and Chaos Control in a Mutual Interference Host-Parasitoid Model	9
Controlling Hidden Dynamics and Multistability of a Class of Two-Dimensional Maps via Linear Augmentation	9
Nonlinear Dynamics of Suspended Cables under Periodic Excitation in Thermal Environments: Two-to-One Internal Resonance	9
A Sensitive Image Encryption Algorithm Based on a Higher-Dimensional Chaotic Map and Steganography	9
Multilayer Network-Based CNN Model for Emotion Recognition	9
Complex Dynamics of a Three-Species Food Chain Model with Fear and Allee Effect	9
A Simple Memristive Circuit for Pattern Classification Based on Reservoir Computing	9
Hopf Bifurcation and Stability Crossing Curve in a Planktonic Resource–Consumer System with Double Delays	9
A Simple Method for Generating Mirror Symmetry Composite Multiscroll Chaotic Attractors	9
Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations	9
Complexity Analysis of Time Series Based on Generalized Fractional Order Refined Composite Multiscale Dispersion Entropy	9
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model	9
Chaos Suppression via Integrative Time Delay Control	9
Dynamics of a Bistable Current-Controlled Locally-Active Memristor	9
Dynamics of a Food Chain Model with Two Infected Predators	9
Coexistence of Hidden Attractors in the Smooth Cubic Chua’s Circuit with Two Stable Equilibria	8
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima	8
KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region	8
Bifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component Systems	8
Artificial Intelligence, Chaos, Prediction and Understanding in Science	8
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination	8
Explosive Transition in Coupled Oscillators Through Mixed Attractive-Repulsive Interactions	8
Bursting Oscillations and Experimental Verification of a Rucklidge System	8
Detection of Hidden Oscillations in Systems Without Equilibrium	8
Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type	8
A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box	8
Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion	8
A Novel Multiscroll Memristive Hopfield Neural Network	8
A New Multi-Scroll Megastable Oscillator Based on the Sign Function	8
Modeling the Dynamics of a Ratio-Dependent Leslie–Gower Predator–Prey System with Strong Allee Effect	8
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise	8
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter	8
Infinitely Many Coexisting Attractors and Scrolls in a Fractional-Order Discrete Neuron Map	8
Chimera States and Seizures in a Mouse Neuronal Model	8
Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor	8
Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles	8
Matlab Code for Lyapunov Exponents of Fractional-Order Systems, Part II: The Noncommensurate Case	8

Bifurcations of Solitary Waves of a Simple Equation	8
Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces	8
Bifurcation Analysis of a Bounded Rational Duopoly Game with Consumer Surplus	8
Complex Dynamics of a Low-Carbon Supply Chain with Government Green Subsidies and Carbon Cap-and-Trade Policies	8
Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator	8
Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium	8
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm	8
The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops	8
Slow Invariant Manifolds of Slow–Fast Dynamical Systems	8
The Yamada Model for a Self-Pulsing Laser: Bifurcation Structure for Nonidentical Decay Times of Gain and Absorber	8
A Phasor Analysis Method for Charge-Controlled Memory Elements	8
Strange Nonchaotic Attractors in Memristor-Based Shimizu–Morioka Oscillator	8
Coexisting Hidden and Self-Excited Attractors in an Economic Model of Integer or Fractional Order	7
Bifurcation and Potential Landscape of p53 Dynamics Depending on PDCD5 Level and ATM Degradation Rate	7
Nonlinear Dynamics of Rotating Pretwisted Cylindrical Panels Under 1:2 Internal Resonances	7
Retardational Effect and Hopf Bifurcations in a New Attitude System of Quad-Rotor Unmanned Aerial Vehicle	7
Permutation Entropy of State Transition Networks to Detect Synchronization	7
Extreme Multistability and Extreme Events in a Novel Chaotic Circuit with Hidden Attractors	7
Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface	7
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect	7
Chaotic Dynamics of Partial Difference Equations with Polynomial Maps	7
Bifurcation and Chaos in a Phytoplankton–Zooplankton Model with Holling Type-II Response and Toxicity	7
Dynamic Evolution, Synchronization and Multistability in an Advertising Game Model with Homogeneous Products and Spillover Effect	7
Cryptanalysis of a Chaotic Block Cryptographic System Against Template Attacks	7
Tumor Stabilization Induced by T-Cell Recruitment Fluctuations	7
Complex Dynamics of an Eco-Epidemic System with Disease in Prey Species	7
Rocard’s 1941 Chaotic Relaxation Econometric Oscillator	7
Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect	7
Complex Dynamics and Periodic Oscillation Mechanism in Two Novel Gene Expression Models with State-Dependent Delays	7
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation	7
Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability	7
Exact Peakon, Periodic Peakon and Pseudo-Peakon Solutions of the Rotation-Two-Component Camassa–Holm System	7
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect	7
Revisiting Memristor Properties	7
Two Independent Offset Controllers in a Three-Dimensional Chaotic System	7
Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems	7
A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain	7
Another New Chaotic System: Bifurcation and Chaos Control	7
Evolutionary Dynamics of Cooperation in a Corrupt Society with Anti-Corruption Control	7
Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology	7
A Novel Memristor-Based Dynamical System with Chaotic Attractor and Periodic Bursting	7
Stability and Bifurcation Analysis for a Nitrogen-Fixing Evolutionary Game with Environmental Feedback and Discrete Delays	7
Complexity and Control of Multichannel Supply Chain Under Carbon Tax Policy	7
Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases	7
Multistability Analysis of a Piecewise Map via Bifurcations	7
Stability and Bifurcation Analysis of a Prey–Predator Model	6
A New Generalized Hamiltonian Chaotic System with Transient Quasi-Periodic Flows and Intermittent Chaos	6
Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory	6
Bifurcations in a Predator–Prey Model of Leslie-Type with Simplified Holling Type IV Functional Response	6
Admissible Perturbations of a Generalized Langford System	6
Spatiotemporal Dynamics of a Modified Leslie–Gower Model with Weak Allee Effect	6
A New Four-Dimensional Chaotic System with Multistability and Its Predefined-Time Synchronization	6
Bifurcation Structures of Nested Mixed-Mode Oscillations	6
Bifurcation and Chaos of Spontaneous Oscillations of Hair Bundles in Auditory Hair Cells	6
Multiscroll in Bidirectionally Coupled Jerk Oscillators: Theoretical Analysis and PSpice Verification	6
Stability and Bifurcation Analysis in a Predator–Prey Model with Age Structure and Two Delays	6
New Double Bifurcation of Nilpotent Focus	6
Bursting Oscillations as well as the Mechanism in a Filippov System with Parametric and External Excitations	6
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator	6
A Stochastic Hierarchical Population System: Excitement, Extinction and Transition to Chaos	6
Existence of Metastable, Hyperchaos, Line of Equilibria and Self-Excited Attractors in a New Hyperjerk Oscillator	6
Experimental Evidence of Chaos Generated by a Minimal Universal Oscillator Model	6
Intermittent Bursting in the Fractional Difference Logistic Map of Matrices	6
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting	6
Generalized Lorenz Canonical Form Revisited	6
Zero–Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium	6
A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms	6
Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion	6
Meet ANIBOT: The First Biologically-Inspired Animal Robot	6
Design and Smartphone Implementation of Chaotic Duplex H.264-Codec Video Communications	6
Dynamics of a Predator–Prey Model with Hunting Cooperation and Allee Effects in Predators	6
The Structural Stability of Maps with Heteroclinic Repellers	6
A KdV–SIR Equation and Its Analytical Solutions for Solitary Epidemic Waves	6
Investigation on the Running-In Quality at Different Rotating Speeds by Chaos Theory	6
Complex Dynamical Behavior of a Three Species Prey–Predator System with Nonlinear Harvesting	6
A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of Polynomials	6
Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion	6
Data-Driven Mathematical Modeling and Dynamical Analysis for SARS-CoV-2 Coinfection with Bacteria	6
Investigation of Structural Voltage Stability in Tunisian Distribution Networks Integrating Large-Scale Solar Photovoltaic Power Plant	6
Jacobi Stability Analysis and the Onset of Chaos in a Two-Degree-of-Freedom Mechanical System	6
Stochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with Tori	6
Coexistence of Strange Nonchaotic Attractors in a Quasiperiodically Forced Dynamical Map	6
Nonlinear Dynamics Analysis of a Multistage Planetary Gear Transmission System	6
Memristive Single-Neuron Model and Its Memristor-Coupled Network: Homogenously Coexisting Attractors and Parallel-Offset Synchronization	6
Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem	6
Steady-State Bifurcation in Previte–Hoffman Model	6
Dynamic Exploration of a Controllable Thermosensitive Neuron Model and Its Applications	6
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel	6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM	6
Coexistence of Periodic, Chaotic and Hyperchaotic Attractors in a System Consisting of a Duffing Oscillator Coupled to a van der Pol Oscillator	6
Studying the Complexity of Multichannel Supply Chain with Different Power Structures Under Carbon Subsidy Policy	6
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface	5
Multistability Regions and Related Basins of Multiattractors in Piecewise Linear Discontinuous Map from Financial Markets	5
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation	5
Sensitivity and Chaoticity on Nonautonomous Dynamical Systems	5