International Journal of Bifurcation and Chaos

Article	Citations
An Optical Image Encryption Algorithm Based on a Fractional-Order Laser Hyperchaotic System	73
A Unified Chaotic System with Various Coexisting Attractors	66
An Asymmetric Image Encryption Algorithm Based on a Fractional-Order Chaotic System and the RSA Public-Key Cryptosystem	61
Chaos in a Simplest Cyclic Memristive Neural Network	58
A Conservative Memristive System with Amplitude Control and Offset Boosting	51
Constructing Keyed Strong S-Box Using an Enhanced Quadratic Map	40
A Chaotic Image Encryption Scheme Based on Genetic Central Dogma and KMP Method	40
Dynamical Effects of Electromagnetic Flux on Chialvo Neuron Map: Nodal and Network Behaviors	38
Coexisting Infinite Equilibria and Chaos	35
Extreme Multistability and Antimonotonicity in a Shinriki Oscillator with Two Flux-Controlled Memristors	33
A Fast Hyperchaotic Image Encryption Scheme	30
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response	30
A New Four-Dimensional Non-Hamiltonian Conservative Hyperchaotic System	29
Memcapacitor-Coupled Chebyshev Hyperchaotic Map	29
Complex Dynamics of a Four-Dimensional Circuit System	28
Constructing a 3D Exponential Hyperchaotic Map with Application to PRNG	27
A New Image Encryption Algorithm with Cantor Diagonal Scrambling Based on the PUMCML System	27
Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect	26
Construction of a Nondegenerate 2D Chaotic Map with Application to Irreversible Parallel Key Expansion Algorithm	25
Hidden Attractors with Conditional Symmetry	24
Fear Induced Multistability in a Predator-Prey Model	22
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding	21
Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate	21
Discovering Chaos-Based Communications by Recurrence Quantification and Quantified Return Map Analyses	20
Minimal Universal Model for Chaos in Laser with Feedback	20

A New Chaotic System with Coexisting Attractors	20
Fast–Slow Variable Dissection with Two Slow Variables: A Case Study on Bifurcations Underlying Bursting for Seizure and Spreading Depression	19
A Novel Nonideal Flux-Controlled Memristor Model for Generating Arbitrary Multi-Double-Scroll and Multi-Double-Wing Attractors	19
Impact of the Fear Effect on the Stability and Bifurcation of a Leslie–Gower Predator–Prey Model	19
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors	19
Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications	19
Periodicity Analysis of the Logistic Map Over Ring ℤ3n	18
Infinitely Many Coexisting Attractors and Scrolls in a Fractional-Order Discrete Neuron Map	18
Chaotic Features of a Class of Discrete Maps without Fixed Points	18
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit	18
Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos	18
Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge	17
Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay	17
Synchronization of a Memristor Chaotic System and Image Encryption	17
Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator	17
A Plaintext-Related Image Encryption Algorithm Based on Compressive Sensing and a Novel Hyperchaotic System	17
Codimension-One and -Two Bifurcations of a Three-Dimensional Discrete Game Model	17
A Simple Guide for Plotting a Proper Bifurcation Diagram	16
Coexisting Infinitely Many Nonchaotic Attractors in a Memristive Weight-Based Tabu Learning Neuron	16
Presence of Megastability and Infinitely Many Equilibria in a Periodically and Quasi-Periodically Excited Single-Link Manipulator	16
Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator	16
Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species	16
MTL: Memristor Ternary Logic Design	16
Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability	16
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface	16
TSSM: Three-State Switchable Memristor Model Based on Ag/TiOx Nanobelt/Ti Configuration	16
Two Independent Offset Controllers in a Three-Dimensional Chaotic System	16
Stability and Bifurcation in a Logistic Model with Allee Effect and Feedback Control	16
Stability and Bifurcation Analysis in a Nonlinear Harvested Predator–Prey Model with Simplified Holling Type IV Functional Response	15
Influence of the Fear Effect on a Holling Type II Prey–Predator System with a Michaelis–Menten Type Harvesting	15
Constructing Strong S-Box by 2D Chaotic Map with Application to Irreversible Parallel Key Expansion	15
Multiple Hysteresis Jump Resonance in a Class of Forced Nonlinear Circuits and Systems	15
Nonlinear Dynamic Characteristics of Wind Turbine Gear System Caused by Tooth Crack Fault	15
An Initially-Controlled Double-Scroll Hyperchaotic Map	15
Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator	15
Dynamics and Synchronization of Complex-Valued Ring Networks	15
Complex Dynamics in a Closed-Loop Supply Chain with Risk Aversion and Fairness Concerns Under Supply Disruption	14
General Modeling Method of Threshold-Type Multivalued Memristor and Its Application in Digital Logic Circuits	14
A Delayed Eco-Epidemiological Model with Weak Allee Effect and Disease in Prey	14
A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System	14
Dynamics of Infectious Diseases: Local Versus Global Awareness	14
Design of a New 3D Chaotic System Producing Infinitely Many Coexisting Attractors and Its Application to Weak Signal Detection	13
Oscillatory and Stationary Patterns in a Diffusive Model with Delay Effect	13
Bifurcation Analysis of a Delay-Induced Predator–Prey Model with Allee Effect and Prey Group Defense	13
Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food	13
Hidden Attractor and Multistability in a Novel Memristor-Based System Without Symmetry	13
The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I	13
Global Dynamics of an Ecosystem in Open Advective Environments	13
Diverse Causality Inference in Foreign Exchange Markets	12
Complex Dynamics of a Filippov Three-Species Food Chain Model	12

Bifurcation Analysis of a Fractional-Order Simplicial SIRS System Induced by Double Delays	12
Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation	12
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
Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative	12
Extreme Multistability and Extreme Events in a Novel Chaotic Circuit with Hidden Attractors	11
Bifurcation Analysis of a Prey–Predator Model with Beddington–DeAngelis Type Functional Response and Allee Effect in Prey	11
Analysis of Pricing and Service Effort in Dual-Channel Supply Chains with Showrooming Effect	11
Slow Invariant Manifolds of Slow–Fast Dynamical Systems	11
Discrete Chaotification of a Modulated Logistic System	11
On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems	11
Coexistence of Periodic, Chaotic and Hyperchaotic Attractors in a System Consisting of a Duffing Oscillator Coupled to a van der Pol Oscillator	11
Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems	11
Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model	11
Coexistence of Hidden Attractors in the Smooth Cubic Chua’s Circuit with Two Stable Equilibria	11
Multilayer Network-Based CNN Model for Emotion Recognition	11
Synchronization and Pattern Formation in a Memristive Diffusive Neuron Model	10
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model	10
Chaos Synchronization of Fractional-Order Lur’e Systems	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
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima	10
Dynamics of a Bistable Current-Controlled Locally-Active Memristor	10
Modeling the Dynamics of a Ratio-Dependent Leslie–Gower Predator–Prey System with Strong Allee Effect	10
Complex Dynamics of a Three-Species Food Chain Model with Fear and Allee Effect	10
Revealing More Hidden Attractors from a New Sub-Quadratic Lorenz-Like System of Degree 6 5	10
Coexisting Attractors in a Physically Extended Lorenz System	10
A KdV–SIR Equation and Its Analytical Solutions for Solitary Epidemic Waves	10
Explosive Transition in Coupled Oscillators Through Mixed Attractive-Repulsive Interactions	10
Matlab Code for Lyapunov Exponents of Fractional-Order Systems, Part II: The Noncommensurate Case	9
A Simple Memristive Circuit for Pattern Classification Based on Reservoir Computing	9
Chaos Suppression via Integrative Time Delay Control	9
A Novel Multiscroll Memristive Hopfield Neural Network	9
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting	9
Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations	9
Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium	9
Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles	9
Nonlinear Dynamics Analysis of a Multistage Planetary Gear Transmission System	9
A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box	9
Steady-State Bifurcation in Previte–Hoffman Model	9
Dynamic Exploration of a Controllable Thermosensitive Neuron Model and Its Applications	9
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter	9
A Sensitive Image Encryption Algorithm Based on a Higher-Dimensional Chaotic Map and Steganography	9
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination	9
Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor	9
Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface	9
Nonlinear Dynamics of Suspended Cables under Periodic Excitation in Thermal Environments: Two-to-One Internal Resonance	9
Controlling Hidden Dynamics and Multistability of a Class of Two-Dimensional Maps via Linear Augmentation	9
Multistability Analysis of a Piecewise Map via Bifurcations	9
A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain	9
Dynamics of a Food Chain Model with Two Infected Predators	9
Complexity Analysis of Time Series Based on Generalized Fractional Order Refined Composite Multiscale Dispersion Entropy	9
Stability, Analytic Bifurcation Structure and Chaos Control in a Mutual Interference Host-Parasitoid Model	9
Complex Dynamics and Periodic Oscillation Mechanism in Two Novel Gene Expression Models with State-Dependent Delays	8
Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type	8
A Phasor Analysis Method for Charge-Controlled Memory Elements	8
A New Multi-Scroll Megastable Oscillator Based on the Sign Function	8
Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces	8
Dynamical Analysis of a Fractional-Order Boost Converter with Fractional-Order Memristive Load	8
Bifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component Systems	8
Artificial Intelligence, Chaos, Prediction and Understanding in Science	8
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm	8
A New Generalized Hamiltonian Chaotic System with Transient Quasi-Periodic Flows and Intermittent Chaos	8
Bursting Oscillations and Experimental Verification of a Rucklidge System	8
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation	8
Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability	8
Strange Nonchaotic Attractors in Memristor-Based Shimizu–Morioka Oscillator	8
Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion	8
Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator	8
Complex Dynamics of a Low-Carbon Supply Chain with Government Green Subsidies and Carbon Cap-and-Trade Policies	8
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation	8
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface	8
The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops	8
Detection of Hidden Oscillations in Systems Without Equilibrium	8
The Yamada Model for a Self-Pulsing Laser: Bifurcation Structure for Nonidentical Decay Times of Gain and Absorber	8
A Novel Memristor-Based Dynamical System with Chaotic Attractor and Periodic Bursting	8
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect	8
Bifurcation Analysis of a Bounded Rational Duopoly Game with Consumer Surplus	8
A Review of Lorenz’s Models from 1960 to 2008	8
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise	8

Jacobi Stability Analysis and the Onset of Chaos in a Two-Degree-of-Freedom Mechanical System	8
Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect	8
Evolutionary Dynamics of Cooperation in a Corrupt Society with Anti-Corruption Control	8
Rocard’s 1941 Chaotic Relaxation Econometric Oscillator	7
Intermittent Bursting in the Fractional Difference Logistic Map of Matrices	7
Bifurcations in a Predator–Prey Model of Leslie-Type with Simplified Holling Type IV Functional Response	7
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect	7
Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion	7
Bifurcation and Chaos in a Phytoplankton–Zooplankton Model with Holling Type-II Response and Toxicity	7
Complexity and Control of Multichannel Supply Chain Under Carbon Tax Policy	7
Coexisting Hidden and Self-Excited Attractors in an Economic Model of Integer or Fractional Order	7
Designing an Image Encryption Algorithm Based on Hyperchaotic System and DCT	7
Retardational Effect and Hopf Bifurcations in a New Attitude System of Quad-Rotor Unmanned Aerial Vehicle	7
A Disturbance Suppression Zeroing Neural Network for Robust Synchronization of Chaotic Systems and Its FPGA Implementation	7
Cryptanalysis of a Chaotic Block Cryptographic System Against Template Attacks	7
Shortcomings of Transfer Entropy and Partial Transfer Entropy: Extending Them to Escape the Curse of Dimensionality	7
A Nondegenerate n-Dimensional Hyperchaotic Map Model with Application in a Keyed Parallel Hash Function	7
Stochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with Tori	7
Multiscroll in Bidirectionally Coupled Jerk Oscillators: Theoretical Analysis and PSpice Verification	7
Chaotic Dynamics of Partial Difference Equations with Polynomial Maps	7
A New Four-Dimensional Chaotic System with Multistability and Its Predefined-Time Synchronization	7
Role of Allee Effect, Hunting Cooperation, and Dispersal to Prey–Predator Model	7
New Double Bifurcation of Nilpotent Focus	7
Data-Driven Mathematical Modeling and Dynamical Analysis for SARS-CoV-2 Coinfection with Bacteria	7
Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems	7
Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology	7
Studying the Complexity of Multichannel Supply Chain with Different Power Structures Under Carbon Subsidy Policy	7
Generalized Cell Mapping Method with Deep Learning for Global Analysis and Response Prediction of Dynamical Systems	7
Stability and Bifurcation Analysis for a Nitrogen-Fixing Evolutionary Game with Environmental Feedback and Discrete Delays	7
Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases	7
Analysis of Stochastic Bifurcations in the Eco-Epidemiological Oscillatory Model with Weak Allee Effect	7
Codimension-Two Bifurcation Analysis on a Discrete Gierer–Meinhardt System	7
A Stochastic Hierarchical Population System: Excitement, Extinction and Transition to Chaos	7
Experimental Evidence of Chaos Generated by a Minimal Universal Oscillator Model	7
Complex Dynamics of an Eco-Epidemic System with Disease in Prey Species	7
Analysis of Zero-Hopf Bifurcation in Two Rössler Systems Using Normal Form Theory	7
The Structural Stability of Maps with Heteroclinic Repellers	6
An Extremely Multistable Complex Chaotic System Under Boosting Control	6
Design and Smartphone Implementation of Chaotic Duplex H.264-Codec Video Communications	6
Memristive Single-Neuron Model and Its Memristor-Coupled Network: Homogenously Coexisting Attractors and Parallel-Offset Synchronization	6
Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow	6
Stability and Bifurcation Analysis in a Predator–Prey Model with Age Structure and Two Delays	6
Complex Dynamics of Pricing Game Model in a Dual-Channel Closed-Loop Supply Chain with Delay Decision	6
Center Bifurcation in the Lozi Map	6
Stability and Bifurcations of Equilibria in Networks with Piecewise Linear Interactions	6
Admissible Perturbations of a Generalized Langford System	6
Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion	6
Some Jerk Systems with Hidden Chaotic Dynamics	6
Generalized Lorenz Canonical Form Revisited	6
Bifurcation Structures of Nested Mixed-Mode Oscillations	6
Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation	6
Bifurcation Analysis of a Reaction–Diffusion Rumor Spreading Model with Nonsmooth Control	6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM	6
Investigation on the Running-In Quality at Different Rotating Speeds by Chaos Theory	6
Effect of Static Bifurcation on Logical Stochastic Resonance in a Symmetric Bistable System	6
Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory	6
Turing Instability and Hopf Bifurcation in Cellular Neural Networks	6
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel	6
Nonsmooth Behavior of Sliding Bifurcations in a General Piecewise Smooth Rotor/Stator Rubbing System	6
Hyperchaotic Oscillation and Multistability in a Fourth Order Smooth Chua System with Implementation Using No Analog Multipliers	6
Meet ANIBOT: The First Biologically-Inspired Animal Robot	6
Bifurcation and Chaos of Spontaneous Oscillations of Hair Bundles in Auditory Hair Cells	6
Dynamics of a Predator–Prey Model with Hunting Cooperation and Allee Effects in Predators	6
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line	6
Influence of Amplitude-Modulated Force and Nonlinear Dissipation on Chaotic Motions in a Parametrically Excited Hybrid Rayleigh–Van der Pol–Duffing Oscillator	6
A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of Polynomials	6
Stability and Bifurcation Analysis of a Prey–Predator Model	6
Infinitely Many Necklace-Shaped Coexisting Attractors in a Nonautonomous Memcapacitive Oscillator	6
Stochastic Stability and Bifurcation of Centrifugal Governor System Subject to Color Noise	5
Complex Dynamics and Fractional-Order Optimal Control of an Epidemic Model with Saturated Treatment and Incidence	5
2D Generating Surfaces and Dividing Surfaces in Hamiltonian Systems with Three Degrees of Freedom	5
A Chaotic Quadratic Bistable Hyperjerk System with Hidden Attractors and a Wide Range of Sample Entropy: Impulsive Stabilization	5
Torus-Breakdown Near a Heteroclinic Attractor: A Case Study	5
Nonparametric Bifurcation and Anti-Control of Hyperchaos in a Memristor–Memcapacitor-Based Circuit	5
Stability and Bifurcation Analysis of the Caputo Fractional-Order Asymptomatic COVID-19 Model with Multiple Time-Delays	5
Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems	5
Shortcuts to Edge-of-Chaos Domains of Memristive Circuits and Historic Measurement of Contiguous Triple-Branch V – I Curve of Chua Corsage Memristor	5
Artificial Intelligence Study of the System JCS-08-13-2022	5
Transient Dynamics of the Lorenz System with a Parameter Drift	5
Application of Reservoir Computing Based on a 2D Hyperchaotic Discrete Memristive Map in Efficient Temporal Signal Processing	5
Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem	5
Stability of Equilibrium Prices in a Dynamic Duopoly Bertrand Game with Asymmetric Information and Cluster Spillovers	5
Complex Dynamics of Predator–Prey Systems with Allee Effect	5
A Practice-Oriented Bifurcation Analysis for Pulse Energy Converters. Part 5: A View Towards the Future	5
Time-Delayed Sampled-Data Feedback Control of Differential Systems Undergoing Hopf Bifurcation	5
Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances	5
All Possible Bursting Attractors in the Neighborhood of Hopf Bifurcation Point Under Periodic Excitation	5
Temporally Stochastic Cellular Automata: Classes and Dynamics	5
Effect of a Mode of Update on Universality Class for Coupled Logistic Maps: Directed Ising to Ising Class	5
Dynamic Analysis and FPGA Implementation of a Kolmogorov-Like Hyperchaotic System	5
Stability and Hopf Bifurcation of a Stage-Structured Cannibalism Model with Two Delays	5
Dynamic Survivability in Nonlinear Oscillation Systems with Attractive–Repulsive Interaction	5
Impact of Fear on Searching Efficiency of Prey: A Prey–Predator Model with Weak Allee Effect	5
Chaos Induced by Heteroclinic Cycles Connecting Repellers for First-Order Partial Difference Equations	5
A New 4D Chaos System with an Encryption Algorithm for Color and Grayscale Images	5