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	80
Four-Wing Hidden Attractors with One Stable Equilibrium Point	72
An Optical Image Encryption Algorithm Based on a Fractional-Order Laser Hyperchaotic System	67
A Unified Chaotic System with Various Coexisting Attractors	65
Color Image Encryption with Cipher Feedback and Coupling Chaotic Map	63
Memristor Initial-Offset Boosting in Memristive HR Neuron Model with Hidden Firing Patterns	62
Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System	58
An Asymmetric Image Encryption Algorithm Based on a Fractional-Order Chaotic System and the RSA Public-Key Cryptosystem	55
A New 4D Chaotic System with Coexisting Hidden Chaotic Attractors	51
Chaos in a Simplest Cyclic Memristive Neural Network	48
A Conservative Memristive System with Amplitude Control and Offset Boosting	43
Locally Active Memristor with Three Coexisting Pinched Hysteresis Loops and Its Emulator Circuit	41
A Chaotic Image Encryption Scheme Based on Genetic Central Dogma and KMP Method	37
Constructing Keyed Strong S-Box Using an Enhanced Quadratic Map	36
Coexisting Infinite Equilibria and Chaos	33
Extreme Multistability and Antimonotonicity in a Shinriki Oscillator with Two Flux-Controlled Memristors	33
Preliminary Research of Chaotic Characteristics and Prediction of Short-Term Wind Speed Time Series	29
A Dream that has Come True: Chaos from a Nonlinear Circuit with a Real Memristor	29
Memcapacitor-Coupled Chebyshev Hyperchaotic Map	28
Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type	28
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response	26
Logical Chaotic Resonance in a Bistable System	26
A New Image Encryption Algorithm with Cantor Diagonal Scrambling Based on the PUMCML System	26
Dynamical Effects of Electromagnetic Flux on Chialvo Neuron Map: Nodal and Network Behaviors	26
Constructing a 3D Exponential Hyperchaotic Map with Application to PRNG	25

Complex Dynamics of a Four-Dimensional Circuit System	25
A Fast Hyperchaotic Image Encryption Scheme	23
Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population	23
A New Four-Dimensional Non-Hamiltonian Conservative Hyperchaotic System	23
Construction of a Nondegenerate 2D Chaotic Map with Application to Irreversible Parallel Key Expansion Algorithm	23
Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors	22
Effects of Low and High Neuron Activation Gradients on the Dynamics of a Simple 3D Hopfield Neural Network	22
On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors	21
Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect	20
Complex Dynamics of a Discrete-Time Prey–Predator System with Leslie Type: Stability, Bifurcation Analyses and Chaos	20
Rich Bifurcation Structure of Prey–Predator Model Induced by the Allee Effect in the Growth of Generalist Predator	20
Hidden Attractors with Conditional Symmetry	20
Fear Induced Multistability in a Predator-Prey Model	20
Minimal Universal Model for Chaos in Laser with Feedback	19
Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate	19
Detecting Weak Signals by Using Memristor-Involved Chua’s Circuit and Verification in Experimental Platform	19
Impact of the Fear Effect on the Stability and Bifurcation of a Leslie–Gower Predator–Prey Model	18
A Novel Nonideal Flux-Controlled Memristor Model for Generating Arbitrary Multi-Double-Scroll and Multi-Double-Wing Attractors	18
Periodicity Analysis of the Logistic Map Over Ring ℤ3n	18
A New Chaotic System with Coexisting Attractors	18
Discovering Chaos-Based Communications by Recurrence Quantification and Quantified Return Map Analyses	17
Stability Analysis and Bifurcation Control of a Delayed Incommensurate Fractional-Order Gene Regulatory Network	17
Period-Bubbling Transition to Chaos in Thermo-Viscoelastic Fluid Systems	17
Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay	17
Hopf Bifurcation for Semilinear FDEs in General Banach Spaces	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
Turing Instability and Pattern Formation in a Strongly Coupled Diffusive Predator–Prey System	16
Stability and Bifurcation in a Logistic Model with Allee Effect and Feedback Control	16
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors	16
Fast–Slow Variable Dissection with Two Slow Variables: A Case Study on Bifurcations Underlying Bursting for Seizure and Spreading Depression	16
Chaotic Features of a Class of Discrete Maps without Fixed Points	16
Codimension-One and -Two Bifurcations of a Three-Dimensional Discrete Game Model	16
Synchronization of a Memristor Chaotic System and Image Encryption	15
Dynamical Analysis of Planetary Gear Transmission System Under Support Stiffness Effects	15
Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator	15
TSSM: Three-State Switchable Memristor Model Based on Ag/TiOx Nanobelt/Ti Configuration	15
Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator	15
Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability	15
Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points	15
Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications	15
MTL: Memristor Ternary Logic Design	15
A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System	14
Dynamics of Infectious Diseases: Local Versus Global Awareness	14
Nonlinear Dynamic Characteristics of Wind Turbine Gear System Caused by Tooth Crack Fault	14
A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations	14
Coexisting Infinitely Many Nonchaotic Attractors in a Memristive Weight-Based Tabu Learning Neuron	14
Bifurcation Patterns of Bursting within pre-Bötzinger Complex and Their Control	14
Pattern Dynamics in a Diffusive Gierer–Meinhardt Model	14
Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks	14

The Proto-Lorenz System in Its Chaotic Fractional and Fractal Structure	13
General Modeling Method of Threshold-Type Multivalued Memristor and Its Application in Digital Logic Circuits	13
Constructing Strong S-Box by 2D Chaotic Map with Application to Irreversible Parallel Key Expansion	13
Multistability and Hidden Attractors in a Three-Dimensional Chaotic System	13
Multiple Hysteresis Jump Resonance in a Class of Forced Nonlinear Circuits and Systems	13
Complex Dynamics in a Closed-Loop Supply Chain with Risk Aversion and Fairness Concerns Under Supply Disruption	13
Dynamics and Synchronization of Complex-Valued Ring Networks	13
The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces	13
A Simple Guide for Plotting a Proper Bifurcation Diagram	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
Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos	13
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface	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
A Plaintext-Related Image Encryption Algorithm Based on Compressive Sensing and a Novel Hyperchaotic System	12
Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation	12
An Initially-Controlled Double-Scroll Hyperchaotic Map	12
Hidden Attractor and Multistability in a Novel Memristor-Based System Without Symmetry	12
Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge	12
Bifurcation Analysis of a Delay-Induced Predator–Prey Model with Allee Effect and Prey Group Defense	12
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit	12
A Chaotic Image Encryption Scheme Based on Hénon–Chebyshev Modulation Map and Genetic Operations	12
Stability and Bifurcation Analysis in a Nonlinear Harvested Predator–Prey Model with Simplified Holling Type IV Functional Response	11
Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species	11
Influence of the Fear Effect on a Holling Type II Prey–Predator System with a Michaelis–Menten Type Harvesting	11
Design of a New 3D Chaotic System Producing Infinitely Many Coexisting Attractors and Its Application to Weak Signal Detection	11
Vectored Immunoprophylaxis and Cell-to-Cell Transmission in HIV Dynamics	11
Nonlinear Behavior of a Novel Switching Jerk System	11
A Delayed Eco-Epidemiological Model with Weak Allee Effect and Disease in Prey	11
Analysis of Pricing and Service Effort in Dual-Channel Supply Chains with Showrooming Effect	11
Diverse Causality Inference in Foreign Exchange Markets	11
Synchronization and Pattern Formation in a Memristive Diffusive Neuron Model	10
Discrete Chaotification of a Modulated Logistic System	10
Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative	10
Bifurcation Analysis of a Fractional-Order Simplicial SIRS System Induced by Double Delays	10
Multi-Scroll Chaotic System Model and Its Cryptographic Application	10
Chaotification of First-Order Partial Difference Equations	10
On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems	10
Stochastic Spiking-Bursting Excitability and Transition to Chaos in a Discrete-Time Neuron Model	10
A Multivariate Weighted Ordinal Pattern Transition Network for Characterizing Driver Fatigue Behavior from EEG Signals	10
The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I	10
Chaos Synchronization of Fractional-Order Lur’e Systems	10
Hearts are Poised Near the Edge of Chaos	10
Nonlinear Dynamics of Suspended Cables under Periodic Excitation in Thermal Environments: Two-to-One Internal Resonance	9
Global Dynamics of an Ecosystem in Open Advective Environments	9
Hopf Bifurcation of a Generalized Delay-Induced Predator–Prey System with Habitat Complexity	9
Complexity Analysis of Time Series Based on Generalized Fractional Order Refined Composite Multiscale Dispersion Entropy	9
Heteroclinic Chaotic Threshold in a Nonsmooth System with Jump Discontinuities	9
A Simple Method for Generating Mirror Symmetry Composite Multiscroll Chaotic Attractors	9
Chaos Detection and Optimal Control in a Cannibalistic Prey–Predator System with Harvesting	9
Turing Pattern Induced by Cross-Diffusion in a Predator–Prey Model with Pack Predation-Herd Behavior	9
Dynamics of a Food Chain Model with Two Infected Predators	9
Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems	9
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model	9
Bifurcation Analysis of a Prey–Predator Model with Beddington–DeAngelis Type Functional Response and Allee Effect in Prey	9
Chaos Suppression via Integrative Time Delay Control	9
Coexisting Attractors in a Physically Extended Lorenz System	9
Dynamics of a Bistable Current-Controlled Locally-Active Memristor	9
Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations	9
Complex Dynamics of a Filippov Three-Species Food Chain Model	9
Controlling Hidden Dynamics and Multistability of a Class of Two-Dimensional Maps via Linear Augmentation	9
Hopf Bifurcation and Stability Crossing Curve in a Planktonic Resource–Consumer System with Double Delays	9
Detection of Hidden Oscillations in Systems Without Equilibrium	8
Overcoming Oscillation Quenching via Mean-Field Feedback	8
Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model	8
Bifurcation Analysis of a Bounded Rational Duopoly Game with Consumer Surplus	8
Dynamics of a Leslie–Gower Model with Weak Allee Effect on Prey and Fear Effect on Predator	8
Bifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component Systems	8
Multilayer Network-Based CNN Model for Emotion Recognition	8
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter	8
The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops	8
Bursting Oscillations and Experimental Verification of a Rucklidge System	8
Complex Dynamics of a Three-Species Food Chain Model with Fear and Allee Effect	8
Stability, Analytic Bifurcation Structure and Chaos Control in a Mutual Interference Host-Parasitoid Model	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
Complex Dynamics of a Low-Carbon Supply Chain with Government Green Subsidies and Carbon Cap-and-Trade Policies	8
Piecewise-Linear Map for Studying Border Collision Phenomena in DC/AC Converters	8
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm	8
Slow Invariant Manifolds of Slow–Fast Dynamical Systems	8

Chimera States and Seizures in a Mouse Neuronal Model	8
A Phasor Analysis Method for Charge-Controlled Memory Elements	8
Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles	8
A New Multi-Scroll Megastable Oscillator Based on the Sign Function	8
Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator	8
Input–Output Characterization of the Dynamical Properties of Circuits with a Memelement	8
A Sensitive Image Encryption Algorithm Based on a Higher-Dimensional Chaotic Map and Steganography	8
Synchronization of Periodic Self-Oscillators Interacting via Memristor-Based Coupling	8
Dynamics of Convective Thermal Explosion in Porous Media	8
Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases	7
Extreme Multistability and Extreme Events in a Novel Chaotic Circuit with Hidden Attractors	7
Cryptanalysis of a Chaotic Block Cryptographic System Against Template Attacks	7
Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability	7
Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces	7
Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type	7
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima	7
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect	7
Retardational Effect and Hopf Bifurcations in a New Attitude System of Quad-Rotor Unmanned Aerial Vehicle	7
Exact Peakon, Periodic Peakon and Pseudo-Peakon Solutions of the Rotation-Two-Component Camassa–Holm System	7
Bifurcation and Potential Landscape of p53 Dynamics Depending on PDCD5 Level and ATM Degradation Rate	7
On the Dynamics of the q-Deformed Gaussian Map	7
A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box	7
Dynamic Evolution, Synchronization and Multistability in an Advertising Game Model with Homogeneous Products and Spillover Effect	7
Rocard’s 1941 Chaotic Relaxation Econometric Oscillator	7
Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium	7
A Novel Memristor-Based Dynamical System with Chaotic Attractor and Periodic Bursting	7
Coexisting Hidden and Self-Excited Attractors in an Economic Model of Integer or Fractional Order	7
A Dynamic Duopoly Game with Content Providers’ Bounded Rationality	7
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise	7
The Yamada Model for a Self-Pulsing Laser: Bifurcation Structure for Nonidentical Decay Times of Gain and Absorber	7
Bifurcation Analysis of Mathematical Model of Prostate Cancer with Immunotherapy	7
Complexity and Control of Multichannel Supply Chain Under Carbon Tax Policy	7
Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect	7
Chaotic Dynamics of Partial Difference Equations with Polynomial Maps	7
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect	7
Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion	7
Complex Dynamics and Periodic Oscillation Mechanism in Two Novel Gene Expression Models with State-Dependent Delays	7
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination	7
Stability and Bifurcation Analysis for a Nitrogen-Fixing Evolutionary Game with Environmental Feedback and Discrete Delays	7
Coexistence of Hidden Attractors in the Smooth Cubic Chua’s Circuit with Two Stable Equilibria	7
Slow–Fast Dynamics in a Chaotic System with Strongly Asymmetric Memristive Element	7
Another New Chaotic System: Bifurcation and Chaos Control	7
Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor	7
Complex Dynamics of an Eco-Epidemic System with Disease in Prey Species	7
A Simple Memristive Circuit for Pattern Classification Based on Reservoir Computing	7
The Coexisting Behaviors on the Boundary of a Duffing-like Oscillator with Signum Nonlinearity and Its FPGA-Based Implementation	7
Revisiting Memristor Properties	7
Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology	6
Effects of Different Fast Periodic Excitations on the Pitchfork Bifurcation and Vibrational Resonance	6
Spatiotemporal Dynamics of a Modified Leslie–Gower Model with Weak Allee Effect	6
Data-Driven Mathematical Modeling and Dynamical Analysis for SARS-CoV-2 Coinfection with Bacteria	6
Generalized Lorenz Canonical Form Revisited	6
Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory	6
Multiscroll in Bidirectionally Coupled Jerk Oscillators: Theoretical Analysis and PSpice Verification	6
Bifurcation Structures of Nested Mixed-Mode Oscillations	6
Strange Nonchaotic Attractors in Memristor-Based Shimizu–Morioka Oscillator	6
A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms	6
Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food	6
Bursting Oscillations as well as the Mechanism in a Filippov System with Parametric and External Excitations	6
On the Bounds of Lyapunov Exponents for Fractional Differential Systems with an Exponential Kernel	6
Investigation on the Running-In Quality at Different Rotating Speeds by Chaos Theory	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
Zero–Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium	6
Experimental Evidence of Chaos Generated by a Minimal Universal Oscillator Model	6
Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface	6
Artificial Intelligence, Chaos, Prediction and Understanding in Science	6
Coexistence of Strange Nonchaotic Attractors in a Quasiperiodically Forced Dynamical Map	6
Admissible Perturbations of a Generalized Langford System	6
Nonlinear Dynamics Analysis of a Multistage Planetary Gear Transmission System	6
Bifurcation and Chaos in a Phytoplankton–Zooplankton Model with Holling Type-II Response and Toxicity	6
Memristive Single-Neuron Model and Its Memristor-Coupled Network: Homogenously Coexisting Attractors and Parallel-Offset Synchronization	6
Bifurcation and Chaos of Spontaneous Oscillations of Hair Bundles in Auditory Hair Cells	6
Stability and Bifurcation Analysis in a Predator–Prey Model with Age Structure and Two Delays	6
Permutation Entropy of State Transition Networks to Detect Synchronization	6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM	6
Is There a Relation Between Synchronization Stability and Bifurcation Type?	6
KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region	6
Existence of Metastable, Hyperchaos, Line of Equilibria and Self-Excited Attractors in a New Hyperjerk Oscillator	6
A Chaotic Circuit for Producing Gaussian Random Numbers	6
Investigation of Structural Voltage Stability in Tunisian Distribution Networks Integrating Large-Scale Solar Photovoltaic Power Plant	6
Stability and Bifurcation Analysis of a Prey–Predator Model	6
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation	6
Explosive Transition in Coupled Oscillators Through Mixed Attractive-Repulsive Interactions	6
Intermittent Bursting in the Fractional Difference Logistic Map of Matrices	6
A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of Polynomials	6
Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion	6
Design and Smartphone Implementation of Chaotic Duplex H.264-Codec Video Communications	6
Meet ANIBOT: The First Biologically-Inspired Animal Robot	6
Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem	6
Multistability Analysis of a Piecewise Map via Bifurcations	6
The Structural Stability of Maps with Heteroclinic Repellers	6
A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain	6
Studying the Complexity of Multichannel Supply Chain with Different Power Structures Under Carbon Subsidy Policy	6
Tumor Stabilization Induced by T-Cell Recruitment Fluctuations	6