International Journal of Bifurcation and Chaos

Papers
(The TQCC of International Journal of Bifurcation and Chaos is 5. 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 2020-09-01 to 2024-09-01.)
ArticleCitations
Color Image Encryption with Cipher Feedback and Coupling Chaotic Map75
An Optical Image Encryption Algorithm Based on a Fractional-Order Laser Hyperchaotic System73
A Unified Chaotic System with Various Coexisting Attractors66
An Asymmetric Image Encryption Algorithm Based on a Fractional-Order Chaotic System and the RSA Public-Key Cryptosystem58
Chaos in a Simplest Cyclic Memristive Neural Network56
A Conservative Memristive System with Amplitude Control and Offset Boosting51
Locally Active Memristor with Three Coexisting Pinched Hysteresis Loops and Its Emulator Circuit43
Constructing Keyed Strong S-Box Using an Enhanced Quadratic Map40
A Chaotic Image Encryption Scheme Based on Genetic Central Dogma and KMP Method40
Dynamical Effects of Electromagnetic Flux on Chialvo Neuron Map: Nodal and Network Behaviors36
Coexisting Infinite Equilibria and Chaos35
Extreme Multistability and Antimonotonicity in a Shinriki Oscillator with Two Flux-Controlled Memristors33
A Dream that has Come True: Chaos from a Nonlinear Circuit with a Real Memristor31
A Fast Hyperchaotic Image Encryption Scheme30
Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response30
Preliminary Research of Chaotic Characteristics and Prediction of Short-Term Wind Speed Time Series30
Memcapacitor-Coupled Chebyshev Hyperchaotic Map29
A New Four-Dimensional Non-Hamiltonian Conservative Hyperchaotic System29
Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type29
Complex Dynamics of a Four-Dimensional Circuit System28
Constructing a 3D Exponential Hyperchaotic Map with Application to PRNG27
Logical Chaotic Resonance in a Bistable System27
Stability and Bifurcation in a Leslie–Gower Predator–Prey Model with Allee Effect26
A New Image Encryption Algorithm with Cantor Diagonal Scrambling Based on the PUMCML System26
Construction of a Nondegenerate 2D Chaotic Map with Application to Irreversible Parallel Key Expansion Algorithm25
Hidden Attractors with Conditional Symmetry24
On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors22
Effects of Low and High Neuron Activation Gradients on the Dynamics of a Simple 3D Hopfield Neural Network22
Fear Induced Multistability in a Predator-Prey Model22
Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate21
Detecting Weak Signals by Using Memristor-Involved Chua’s Circuit and Verification in Experimental Platform20
Minimal Universal Model for Chaos in Laser with Feedback20
Discovering Chaos-Based Communications by Recurrence Quantification and Quantified Return Map Analyses20
Fast–Slow Variable Dissection with Two Slow Variables: A Case Study on Bifurcations Underlying Bursting for Seizure and Spreading Depression19
A New Chaotic System with Coexisting Attractors19
Impact of the Fear Effect on the Stability and Bifurcation of a Leslie–Gower Predator–Prey Model19
A Novel Nonideal Flux-Controlled Memristor Model for Generating Arbitrary Multi-Double-Scroll and Multi-Double-Wing Attractors19
Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications19
Singularly Degenerate Heteroclinic Cycles with Nearby Apple-Shape Attractors19
Chaotic Features of a Class of Discrete Maps without Fixed Points18
Locally Active Memristor with Variable Parameters and Its Oscillation Circuit18
Complex Dynamics in a Memristive Diode Bridge-Based MLC Circuit: Coexisting Attractors and Double-Transient Chaos18
Periodicity Analysis of the Logistic Map Over Ring ℤ3n18
Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points17
Chaotic Multiple-Image Encryption Algorithm Based on Block Scrambling and Dynamic DNA Coding17
Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay17
A Plaintext-Related Image Encryption Algorithm Based on Compressive Sensing and a Novel Hyperchaotic System17
Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator17
Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge17
Codimension-One and -Two Bifurcations of a Three-Dimensional Discrete Game Model17
Synchronization of a Memristor Chaotic System and Image Encryption16
Presence of Megastability and Infinitely Many Equilibria in a Periodically and Quasi-Periodically Excited Single-Link Manipulator16
The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface16
TSSM: Three-State Switchable Memristor Model Based on Ag/TiOx Nanobelt/Ti Configuration16
Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability16
A Simple Guide for Plotting a Proper Bifurcation Diagram16
Pattern Dynamics in a Diffusive Gierer–Meinhardt Model16
Coexisting Infinitely Many Nonchaotic Attractors in a Memristive Weight-Based Tabu Learning Neuron16
Stability and Bifurcation in a Logistic Model with Allee Effect and Feedback Control16
Complex Bursting Patterns in a van der Pol–Mathieu–Duffing Oscillator16
An Initially-Controlled Double-Scroll Hyperchaotic Map15
The Proto-Lorenz System in Its Chaotic Fractional and Fractal Structure15
Nonlinear Dynamic Characteristics of Wind Turbine Gear System Caused by Tooth Crack Fault15
Constructing Strong S-Box by 2D Chaotic Map with Application to Irreversible Parallel Key Expansion15
Multiple Hysteresis Jump Resonance in a Class of Forced Nonlinear Circuits and Systems15
Independent Period-2 Motions to Chaos in a van der Pol–Duffing Oscillator15
MTL: Memristor Ternary Logic Design15
A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations15
Infinitely Many Coexisting Attractors and Scrolls in a Fractional-Order Discrete Neuron Map15
Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species15
Two Independent Offset Controllers in a Three-Dimensional Chaotic System15
Dynamics and Synchronization of Complex-Valued Ring Networks15
Coexisting Multi-Dynamics of a Physical SBT Memristor-Based Chaotic Circuit14
General Modeling Method of Threshold-Type Multivalued Memristor and Its Application in Digital Logic Circuits14
A Color Image Encryption Scheme Based on a Hybrid Cascaded Chaotic System14
Complex Dynamics in a Closed-Loop Supply Chain with Risk Aversion and Fairness Concerns Under Supply Disruption14
Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks14
Dynamics of Infectious Diseases: Local Versus Global Awareness14
Bifurcation Patterns of Bursting within pre-Bötzinger Complex and Their Control14
Stability and Bifurcation Analysis in a Nonlinear Harvested Predator–Prey Model with Simplified Holling Type IV Functional Response13
Oscillatory and Stationary Patterns in a Diffusive Model with Delay Effect13
Multi-Scroll Chaotic System Model and Its Cryptographic Application13
The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I13
Chaos and Bistabilities in a Food-Chain Model with Allee Effect and Additional Food13
Hidden Attractor and Multistability in a Novel Memristor-Based System Without Symmetry13
A Delayed Eco-Epidemiological Model with Weak Allee Effect and Disease in Prey13
Influence of the Fear Effect on a Holling Type II Prey–Predator System with a Michaelis–Menten Type Harvesting13
Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation12
Complex Dynamics of a Filippov Three-Species Food Chain Model12
Chaos Detection of the Chen System with Caputo–Hadamard Fractional Derivative12
Complex Behavior of a Hyperchaotic TNC Oscillator: Coexisting Bursting, Space Magnetization, Control of Multistability and Application in Image Encryption Based on DNA Coding12
Nonlinear Behavior of a Novel Switching Jerk System12
Design of a New 3D Chaotic System Producing Infinitely Many Coexisting Attractors and Its Application to Weak Signal Detection12
Bifurcation Analysis of a Delay-Induced Predator–Prey Model with Allee Effect and Prey Group Defense12
Diverse Causality Inference in Foreign Exchange Markets12
Slow Invariant Manifolds of Slow–Fast Dynamical Systems11
On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems11
Bifurcation Analysis of a Fractional-Order Simplicial SIRS System Induced by Double Delays11
Discrete Chaotification of a Modulated Logistic System11
Global Dynamics of an Ecosystem in Open Advective Environments11
Multilayer Network-Based CNN Model for Emotion Recognition11
Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems11
Bifurcation Analysis of a Prey–Predator Model with Beddington–DeAngelis Type Functional Response and Allee Effect in Prey11
Analysis of Pricing and Service Effort in Dual-Channel Supply Chains with Showrooming Effect11
Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima10
Vectored Immunoprophylaxis and Cell-to-Cell Transmission in HIV Dynamics10
Dynamics of a Bistable Current-Controlled Locally-Active Memristor10
Dynamics of a Leslie–Gower Model with Weak Allee Effect on Prey and Fear Effect on Predator10
Extreme Multistability and Extreme Events in a Novel Chaotic Circuit with Hidden Attractors10
A Simple Method for Generating Mirror Symmetry Composite Multiscroll Chaotic Attractors10
Coexistence of Hidden Attractors in the Smooth Cubic Chua’s Circuit with Two Stable Equilibria10
Chaos Detection and Optimal Control in a Cannibalistic Prey–Predator System with Harvesting10
A KdV–SIR Equation and Its Analytical Solutions for Solitary Epidemic Waves10
Explosive Transition in Coupled Oscillators Through Mixed Attractive-Repulsive Interactions10
Complex Dynamics of a Three-Species Food Chain Model with Fear and Allee Effect10
Chaotification of First-Order Partial Difference Equations10
Vegetation Pattern Formation and Transition Caused by Cross-Diffusion in a Modified Vegetation-Sand Model10
Coexisting Attractors in a Physically Extended Lorenz System10
Chaos Synchronization of Fractional-Order Lur’e Systems10
Modeling the Dynamics of a Ratio-Dependent Leslie–Gower Predator–Prey System with Strong Allee Effect10
Synchronization and Pattern Formation in a Memristive Diffusive Neuron Model10
Abundant Firing Patterns in a Memristive Morris–Lecar Neuron Model10
Complexity Analysis of Time Series Based on Generalized Fractional Order Refined Composite Multiscale Dispersion Entropy9
Stability, Analytic Bifurcation Structure and Chaos Control in a Mutual Interference Host-Parasitoid Model9
Nonlinear Dynamics Analysis of a Multistage Planetary Gear Transmission System9
A Novel Lightweight Block Encryption Algorithm Based on Combined Chaotic S-Box9
Chaos Suppression via Integrative Time Delay Control9
Dynamic Exploration of a Controllable Thermosensitive Neuron Model and Its Applications9
Another New Chaotic System: Bifurcation and Chaos Control9
A Sensitive Image Encryption Algorithm Based on a Higher-Dimensional Chaotic Map and Steganography9
Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination9
Dynamical Taxonomy: Some Taxonomic Ranks to Systematically Classify Every Chaotic Attractor9
Nonlinear Dynamics of Suspended Cables under Periodic Excitation in Thermal Environments: Two-to-One Internal Resonance9
Hopf Bifurcation and Stability Crossing Curve in a Planktonic Resource–Consumer System with Double Delays9
A Novel Multiscroll Memristive Hopfield Neural Network9
Coexistence of Periodic, Chaotic and Hyperchaotic Attractors in a System Consisting of a Duffing Oscillator Coupled to a van der Pol Oscillator9
Dynamics of a Food Chain Model with Two Infected Predators9
Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface9
Chaos Generated by a Class of 3D Three-Zone Piecewise Affine Systems with Coexisting Singular Cycles9
A Simple Memristive Circuit for Pattern Classification Based on Reservoir Computing9
Controlling Hidden Dynamics and Multistability of a Class of Two-Dimensional Maps via Linear Augmentation9
Multistability Analysis of a Piecewise Map via Bifurcations9
Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter9
Slow–Fast Behaviors and Their Mechanism in a Periodically Excited Dynamical System with Double Hopf Bifurcations9
Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect8
Complex Dynamics and Periodic Oscillation Mechanism in Two Novel Gene Expression Models with State-Dependent Delays8
Evolutionary Dynamics of Cooperation in a Corrupt Society with Anti-Corruption Control8
A Phasor Analysis Method for Charge-Controlled Memory Elements8
Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type8
Strange Nonchaotic Attractors in Memristor-Based Shimizu–Morioka Oscillator8
Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces8
Steady-State Bifurcation in Previte–Hoffman Model8
Bursting Oscillations and Experimental Verification of a Rucklidge System8
Complex Dynamics of a Low-Carbon Supply Chain with Government Green Subsidies and Carbon Cap-and-Trade Policies8
Spatio-Temporal Patterns of Predator–Prey Model with Allee Effect and Constant Stocking Rate for Predator8
The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface8
Evaluating the Randomness of Chaotic Binary Sequences Via a Novel Period Detection Algorithm8
The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops8
Hidden and Self-Excited Collective Dynamics of a New Multistable Hyper-Jerk System with Unique Equilibrium8
An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation8
A Novel Memristor-Based Dynamical System with Chaotic Attractor and Periodic Bursting8
Dynamics of a Delayed Predator–Prey Model with Prey Refuge, Allee Effect and Fear Effect8
Spatiotemporal Complexity Analysis for a Space-Time Discrete Generalized Toxic-Phytoplankton-Zooplankton Model with Self-Diffusion and Cross-Diffusion8
Bifurcation Analysis of a Bounded Rational Duopoly Game with Consumer Surplus8
Detection of Hidden Oscillations in Systems Without Equilibrium8
Bifurcations and Exact Traveling Wave Solutions of Two Shallow Water Two-Component Systems8
Stability and Bifurcation Analysis of a Beddington–DeAngelis Prey–Predator Model with Fear Effect, Prey Refuge and Harvesting8
Jacobi Stability Analysis and the Onset of Chaos in a Two-Degree-of-Freedom Mechanical System8
Bifurcation Analysis and Spatio-Temporal Patterns of a Prey–Predator Model with Hunting Cooperation8
Chimera States and Seizures in a Mouse Neuronal Model8
A New Generalized Hamiltonian Chaotic System with Transient Quasi-Periodic Flows and Intermittent Chaos8
The Yamada Model for a Self-Pulsing Laser: Bifurcation Structure for Nonidentical Decay Times of Gain and Absorber8
Revealing More Hidden Attractors from a New Sub-Quadratic Lorenz-Like System of Degree 6 58
Matlab Code for Lyapunov Exponents of Fractional-Order Systems, Part II: The Noncommensurate Case8
A New Multi-Scroll Megastable Oscillator Based on the Sign Function8
KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region8
Bifurcation Analysis of an Energy Harvesting System with Fractional Order Damping Driven by Colored Noise8
Artificial Intelligence, Chaos, Prediction and Understanding in Science8
Multiscroll in Bidirectionally Coupled Jerk Oscillators: Theoretical Analysis and PSpice Verification7
Chaotic Dynamics of Partial Difference Equations with Polynomial Maps7
A New Four-Dimensional Chaotic System with Multistability and Its Predefined-Time Synchronization7
Role of Allee Effect, Hunting Cooperation, and Dispersal to Prey–Predator Model7
Designing an Image Encryption Algorithm Based on Hyperchaotic System and DCT7
Dynamical Analysis of a Fractional-Order Boost Converter with Fractional-Order Memristive Load7
Studying the Complexity of Multichannel Supply Chain with Different Power Structures Under Carbon Subsidy Policy7
Retardational Effect and Hopf Bifurcations in a New Attitude System of Quad-Rotor Unmanned Aerial Vehicle7
Cryptanalysis of a Chaotic Block Cryptographic System Against Template Attacks7
Generalized Cell Mapping Method with Deep Learning for Global Analysis and Response Prediction of Dynamical Systems7
Investigation of Structural Voltage Stability in Tunisian Distribution Networks Integrating Large-Scale Solar Photovoltaic Power Plant7
Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect7
Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases7
Analysis of Stochastic Bifurcations in the Eco-Epidemiological Oscillatory Model with Weak Allee Effect7
Revisiting Memristor Properties7
A Stochastic Hierarchical Population System: Excitement, Extinction and Transition to Chaos7
Tumor Stabilization Induced by T-Cell Recruitment Fluctuations7
A Robust Chaotic Map and Its Application to Speech Encryption in Dual Frequency Domain7
Existence of Metastable, Hyperchaos, Line of Equilibria and Self-Excited Attractors in a New Hyperjerk Oscillator7
Data-Driven Mathematical Modeling and Dynamical Analysis for SARS-CoV-2 Coinfection with Bacteria7
Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology7
Coexistence of Strange Nonchaotic Attractors in a Quasiperiodically Forced Dynamical Map7
Intermittent Bursting in the Fractional Difference Logistic Map of Matrices7
Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability7
Bifurcation and Chaos in a Phytoplankton–Zooplankton Model with Holling Type-II Response and Toxicity7
Complexity and Control of Multichannel Supply Chain Under Carbon Tax Policy7
Coexisting Hidden and Self-Excited Attractors in an Economic Model of Integer or Fractional Order7
New Double Bifurcation of Nilpotent Focus7
A Review of Lorenz’s Models from 1960 to 20087
Analysis of Geometric Invariants for Three Types of Bifurcations in 2D Differential Systems7
Experimental Evidence of Chaos Generated by a Minimal Universal Oscillator Model7
Nonlinear Dynamics of Rotating Pretwisted Cylindrical Panels Under 1:2 Internal Resonances7
Complex Dynamics of an Eco-Epidemic System with Disease in Prey Species7
Rocard’s 1941 Chaotic Relaxation Econometric Oscillator7
Stochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with Tori7
Stability and Bifurcation Analysis for a Nitrogen-Fixing Evolutionary Game with Environmental Feedback and Discrete Delays7
Bifurcation Analysis of a Reaction–Diffusion Rumor Spreading Model with Nonsmooth Control6
Dynamics of a Predator–Prey Model with Hunting Cooperation and Allee Effects in Predators6
A Lossless Compression and Encryption Method for Remote Sensing Image Using LWT, Rubik’s Cube and 2D-CCM6
Investigation on the Running-In Quality at Different Rotating Speeds by Chaos Theory6
A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of Polynomials6
A Disturbance Suppression Zeroing Neural Network for Robust Synchronization of Chaotic Systems and Its FPGA Implementation6
Stability and Bifurcation Analysis of a Prey–Predator Model6
Nonsmooth Behavior of Sliding Bifurcations in a General Piecewise Smooth Rotor/Stator Rubbing System6
Bifurcations in a Predator–Prey Model of Leslie-Type with Simplified Holling Type IV Functional Response6
Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion6
Bifurcation Structures of Nested Mixed-Mode Oscillations6
Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation6
Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow6
Stability and Bifurcation Analysis in a Predator–Prey Model with Age Structure and Two Delays6
Complex Dynamics of Pricing Game Model in a Dual-Channel Closed-Loop Supply Chain with Delay Decision6
Influence of Amplitude-Modulated Force and Nonlinear Dissipation on Chaotic Motions in a Parametrically Excited Hybrid Rayleigh–Van der Pol–Duffing Oscillator6
Stability and Bifurcation Analysis of Fractional-Order Delayed Prey–Predator System and the Effect of Diffusion6
Stability and Bifurcations of Equilibria in Networks with Piecewise Linear Interactions6
Complex Dynamical Behavior of a Three Species Prey–Predator System with Nonlinear Harvesting6
Admissible Perturbations of a Generalized Langford System6
Zero–Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium6
Generalized Lorenz Canonical Form Revisited6
A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms6
Meet ANIBOT: The First Biologically-Inspired Animal Robot6
Bifurcation and Chaos of Spontaneous Oscillations of Hair Bundles in Auditory Hair Cells6
Codimension-Two Bifurcation Analysis on a Discrete Gierer–Meinhardt System6
Bursting Oscillations as well as the Mechanism in a Filippov System with Parametric and External Excitations6
The Extended 16th Hilbert Problem for Discontinuous Piecewise Linear Centers Separated by a Nonregular Line6
Center Bifurcation in the Lozi Map6
The Structural Stability of Maps with Heteroclinic Repellers6
Quasiperiodic-Chaotic Neural Networks and Short-Term Analog Memory6
An Extremely Multistable Complex Chaotic System Under Boosting Control6
Shortcomings of Transfer Entropy and Partial Transfer Entropy: Extending Them to Escape the Curse of Dimensionality6
Spatiotemporal Dynamics of a Modified Leslie–Gower Model with Weak Allee Effect6
Design and Smartphone Implementation of Chaotic Duplex H.264-Codec Video Communications6
Memristive Single-Neuron Model and Its Memristor-Coupled Network: Homogenously Coexisting Attractors and Parallel-Offset Synchronization6
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