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Memristor Circuits: Bifurcations without Parameters

https://doi.org/10.1109/tcsi.2016.2642112
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cta.1804openalex-snapshot
Analysis of current–voltage characteristics for memristive elements in pattern recognition systems
inferredcites →https://doi.org/10.1002/cta.1912openalex-snapshot
Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation
inferredcites →https://doi.org/10.1002/cta.665openalex-snapshot
Semistate models of electrical circuits including memristors
inferredcites →https://doi.org/10.1049/el.2016.0563openalex-snapshot
Extreme multistability in a memristive circuit
inferredcites →https://doi.org/10.1109/jetcas.2015.2426493openalex-snapshot
The Art of Finding Accurate Memristor Model Solutions
inferredcites →https://doi.org/10.1109/tcs.1980.1084742openalex-snapshot
Device modeling via nonlinear circuit elements
inferredcites →https://doi.org/10.1109/tcsi.2004.827627openalex-snapshot
Periodic Oscillations and Bifurcations in Cellular Nonlinear Networks
inferredcites →https://doi.org/10.1109/tcsi.2010.2097731openalex-snapshot
Nonlinear Dynamics of Memristor Oscillators
inferredcites →https://doi.org/10.1109/tcsi.2016.2564738openalex-snapshot
Turing Patterns in Memristive Cellular Nonlinear Networks
inferredcites →https://doi.org/10.1109/tcsi.2016.2590948openalex-snapshot
Memristor Circuits: Flux—Charge Analysis Method
inferredcites →https://doi.org/10.1137/100816559openalex-snapshot
Manifolds of Equilibria and Bifurcations without Parameters in Memristive Circuits
inferredcites →https://doi.org/10.1140/epjst/e2016-02625-8openalex-snapshot
A novel memristive time–delay chaotic system without equilibrium points
inferredcites →https://doi.org/10.1142/s0218127408022354openalex-snapshot
MEMRISTOR OSCILLATORS
inferredcites →https://doi.org/10.1142/s0218127410025521openalex-snapshot
HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS IN MEMRISTOR OSCILLATORS
inferredcites →https://doi.org/10.1142/s0218127411029999openalex-snapshot
A SIMPLE MEMRISTOR CHAOTIC CIRCUIT WITH COMPLEX DYNAMICS
inferredcites →https://doi.org/10.1142/s0218127413500983openalex-snapshot
NONSMOOTH BIFURCATIONS, TRANSIENT HYPERCHAOS AND HYPERCHAOTIC BEATS IN A MEMRISTIVE MURALI–LAKSHMANAN–CHUA CIRCUIT
inferredcites →https://doi.org/10.1142/s0218127414300018openalex-snapshot
Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator
inferredcites →https://doi.org/10.1142/s0218127416300147openalex-snapshot
Parasitic Effects on Memristor Dynamics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4661687openalex-extracted
First Integrals Can Explain Cohexistence of Attractors, Multistability, and Loss of Ideality in Circuits with Memristors
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Nonlinear Dynamics and Invariants of Motion in ReRAM Cells
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Harmonic balance method to analyze bifurcations in memristor oscillatory circuits
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Memristor‐enhanced humanoid robot control system – Part I: Theory behind the novel memcomputing paradigm
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Nonlinear circuits with parallel‐/series‐connected HP‐type memory elements and their characteristic analysis
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Nonlinear Circuits and Systems with Memristors
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Flux-Charge Analysis Method of Memristor Circuits
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Dynamic Analysis of Memristor Circuits via Input–Output Techniques
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Tunable Chaos in Memristor Circuits for Pattern Recognition Tasks
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Memristor-Based Neural Network Circuit of Operant Conditioning with Overshadowing
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Multistability Behaviors and Adaptive Sliding Mode Synchronization of Fractional-Order Chua’s Circuit Based on Coupled Memristors in Flux-Charge Domain
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3–5 GHz FSK-OOK ultra wideband transmitter based on memristive ring oscillator
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Controlling extreme multistability of memristor emulator-based dynamical circuit in flux–charge domain
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A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators
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Effects of initial conditions on the synchronization of the coupled memristor neural circuits
inferred← citeshttps://doi.org/10.1007/s11071-019-04820-1openalex-snapshot
A memristor–meminductor-based chaotic system with abundant dynamical behaviors
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Prediction of period doubling bifurcations in harmonically forced memristor circuits
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A new locally active memristive synapse-coupled neuron model
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Circuits with a mem-element: invariant manifolds control via pulse programmed sources
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Memristor-induced mode transitions and extreme multistability in a map-based neuron model
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A memristive chaotic map with only one bifurcation parameter
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Snap-back repellers and chaos in a class of discrete-time memristor circuits
inferred← citeshttps://doi.org/10.1007/s11071-025-11568-4openalex-snapshot
Feature preserving discretization of memristive circuits using an input-output approach
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State Switching and neuromorphic behaviors of bistable locally active memristive neuron near the edge of chaos
inferred← citeshttps://doi.org/10.1007/s11071-026-12583-9openalex-snapshot
Versatile discrete-time memristive cell
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Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system
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Memristive effects on an improved discrete Rulkov neuron model
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Time-reversal symmetric quadratic differential systems having an invariant cylinder: global dynamics and mechanical application
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Modelling of memristor networks and the effective memristor
inferred← citeshttps://doi.org/10.1016/j.chaos.2018.01.004openalex-snapshot
Uncertain destination dynamics of a novel memristive 4D autonomous system
inferred← citeshttps://doi.org/10.1016/j.chaos.2018.07.025openalex-snapshot
State variable mapping method for studying initial-dependent dynamics in memristive hyper-jerk system with line equilibrium
inferred← citeshttps://doi.org/10.1016/j.chaos.2020.109990openalex-snapshot
A chaotic circuit based on a physical memristor
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Design and realization of discrete memristive hyperchaotic map with application in image encryption
inferred← citeshttps://doi.org/10.1016/j.chaos.2022.113024openalex-snapshot
A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application
inferred← citeshttps://doi.org/10.1016/j.chaos.2023.113791openalex-snapshot
A class of novel discrete memristive chaotic map
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Multistability and synchronization of discrete maps via memristive coupling
inferred← citeshttps://doi.org/10.1016/j.chaos.2024.114504openalex-snapshot
First integrals can explain coexistence of attractors, multistability, and loss of ideality in circuits with memristors
inferred← citeshttps://doi.org/10.1016/j.chaos.2025.116227openalex-snapshot
Discrete memristive hyperchaotic map with heterogeneous and homogeneous multistability and its applications
inferred← citeshttps://doi.org/10.1016/j.cjph.2020.08.018openalex-snapshot
Design and implementation of a new memristive chaotic system with application in touchless fingerprint encryption
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2018.04.011openalex-snapshot
Stability of memristor neural networks with delays operating in the flux-charge domain
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2022.03.041openalex-snapshot
New method to analyze the invariant manifolds of memristor circuits
inferred← citeshttps://doi.org/10.1016/j.mee.2017.08.004openalex-snapshot
Unravelling the dynamical richness of 3D canonical memristor oscillators
inferred← citeshttps://doi.org/10.1016/j.memori.2023.100043openalex-snapshot
Flux-charge analysis and experimental verification of a parallel Memristor–Capacitor circuit
inferred← citeshttps://doi.org/10.1016/j.neunet.2017.05.009openalex-snapshot
Memristor standard cellular neural networks computing in the flux–charge domain
inferred← citeshttps://doi.org/10.1016/j.physleta.2025.130390openalex-snapshot
A memristive neuron with nonlinear membranes and network patterns
inferred← citeshttps://doi.org/10.1016/j.sysconle.2025.106156openalex-snapshot
Passivity-based control of networks of memristors and capacitors
inferred← citeshttps://doi.org/10.1049/ell2.12948openalex-snapshot
Drift of invariant manifolds and transient chaos in memristor Chua's circuit
inferred← citeshttps://doi.org/10.1063/1.5128384openalex-snapshot
A memristive conservative chaotic circuit consisting of a memristor and a capacitor
inferred← citeshttps://doi.org/10.1063/5.0257053openalex-snapshot
Design and characteristic analysis of incommensurate-order fractional discrete memristor-based hyperchaotic system
inferred← citeshttps://doi.org/10.1088/1402-4896/ad7918openalex-snapshot
Memristor-coupled cubic hyperchaotic system, feedback synchronization and its application in image encryption
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A memristive map with coexisting chaos and hyperchaos*
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A novel hyperchaotic map with sine chaotification and discrete memristor
inferred← citeshttps://doi.org/10.1088/1674-1056/acddd0openalex-snapshot
Multiple mixed state variable incremental integration for reconstructing extreme multistability in a novel memristive hyperchaotic jerk system with multiple cubic nonlinearity
inferred← citeshttps://doi.org/10.1108/cw-04-2019-0035openalex-snapshot
Experimental verification of volt-ampere characteristic curve for a memristor-based chaotic circuit
inferred← citeshttps://doi.org/10.1109/access.2019.2951673openalex-snapshot
Logistic Function Based Memristor Model With Circuit Application
inferred← citeshttps://doi.org/10.1109/access.2022.3146419openalex-snapshot
Oscillatory Circuits With a Real Non-Volatile Stanford Memristor Model
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Embedding Classic Chaotic Maps in Simple Discrete-Time Memristor Circuits
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A controlled Murali-Lakshmanan-Chua memristor circuit to mimic neuron dynamics
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Synchronization between two chaotic memristor circuits via the flux-charge analysis method
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Input design for controlling dynamics in a second-order memristive circuit
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Unfolding nonlinear dynamics in computing systems with mem-elements
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Feedforward control of multistability in memristor circuits
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Nonlinear dynamics of memristor oscillators via the flux-charge analysis method
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Role of diversity in taming chaos in driven memristive arrays
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State Equations of Memristor Circuits with Nonlinear Lossless Elements in the Flux-Charge Domain
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Targeting Multistable Dynamics in a Second-Order Memristor Circuit
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Switching dynamics in finite time in memristor Chua’s circuit
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Transient Control in Targeting Multistable Dynamics of a Memristor Circuit
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Embedding the Dynamics of Forced Nonlinear Systems in Multistable Memristor Circuits
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Synchronization in Electrical Circuits With Memristors and Grounded Capacitors
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Exploring the Dynamics of Real-World Memristors on the Basis of Circuit Theoretic Model Predictions
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Exploiting Invariant Manifolds of Memristor Circuits to Reproduce FitzHugh-Nagumo Dynamics
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Memristor Circuits: Pulse Programming via Invariant Manifolds
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Complex Dynamics in Arrays of Memristor Oscillators via the Flux–Charge Method
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Theoretical Foundations of Memristor Cellular Nonlinear Networks: Stability Analysis With Dynamic Memristors
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Homogeneous Models of Nonlinear Circuits
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S-Type Locally Active Memristor-Based Periodic and Chaotic Oscillators
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Unfolding Nonlinear Dynamics in Analogue Systems With Mem-Elements
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Discrete Memristor Hyperchaotic Maps
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FPGA Implementation of Memristor Emulators Using Fractional Order Calculus: A High-Precision Reconfigurable Approach
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Dual Memristive Chua’s Circuit
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A Novel Memristor Regulation Method for Chaos Enhancement in Unidirectional Ring Neural Networks
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Memristor Circuits as Linear-Gradient Systems and Discrete Analogues Preserving a First Integral
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A Locally Active Memristor and Its Application in a Chaotic Circuit
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Flux-Charge Description of Circuits With Non-Volatile Switching Memristor Devices
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A Multi-Stable Memristor and its Application in a Neural Network
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Memristor-Coupled Logistic Hyperchaotic Map
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Stability Analysis of the Synchronous Solution in Arrays of Memristive Chua’s Circuits
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Experimental Detection for Extreme Multistability via DC-Controlled Memristor Emulator
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Robustness of Chua’s Chaotic Oscillators Against Fractional-Order Effects of Real Components
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Nonlinear Networks With Mem-Elements: Complex Dynamics via Flux–Charge Analysis Method
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Memristor Neural Networks for Linear and Quadratic Programming Problems
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Flux–Charge Analysis of Two-Memristor-Based Chua's Circuit: Dimensionality Decreasing Model for Detecting Extreme Multistability
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Two-Dimensional Memristive Hyperchaotic Maps and Application in Secure Communication
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Initials-Boosted Coexisting Chaos in a 2-D Sine Map and Its Hardware Implementation
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Memristive Rulkov Neuron Model With Magnetic Induction Effects
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An Overview of the Stability Analysis of Recurrent Neural Networks With Multiple Equilibria
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Tradeoff Analysis Between Control Time and Energy Consumption for Delayed Neural Networks With Discontinuous Activation Functions
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Design and Analysis of Multiscroll Memristive Hopfield Neural Network With Adjustable Memductance and Application to Image Encryption
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Threshold-Function-Dependent Quasi-Synchronization of Delayed Memristive Neural Networks via Hybrid Event-Triggered Control
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Taming Spatiotemporal Chaos in Forced Memristive Arrays
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Transcritical Bifurcation without Parameters in Memristive Circuits
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Extremely rich dynamics in a memristor-based chaotic system
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RC-MHM: reservoir computing with a 2D memristive hyperchaotic map
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Analysis and application of discrete 3D no equilibrium points memristive Hindmarsh-Rose models
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LAMRC: a locally active memristor-based chaotic system with diverse dynamics for reservoir computing
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Scenario of the Birth of Hidden Attractors in the Chua Circuit
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Extreme Multistability and Complex Dynamics of a Memristor-Based Chaotic System
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Coexisting Infinitely Many Nonchaotic Attractors in a Memristive Weight-Based Tabu Learning Neuron
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Bounding Lyapunov Exponents Through Second Additive Compound Matrices: Case Studies and Application to Systems with First Integral
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New Class of Discrete-Time Memristor Circuits: First Integrals, Coexisting Attractors and Bifurcations Without Parameters
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Parameter‐Independent Dynamical Behaviors in Memristor‐Based Wien‐Bridge Oscillator
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Memristor‐Based Canonical Chua’s Circuit: Extreme Multistability in Voltage‐Current Domain and Its Controllability in Flux‐Charge Domain
inferred← citeshttps://doi.org/10.1155/2019/4647608openalex-snapshot
Dynamics and Synchronization of a Memristor‐Based Chaotic System with No Equilibrium
inferred← citeshttps://doi.org/10.1155/2019/8549472openalex-snapshot
Hybrid State Variable Incremental Integral for Reconstructing Extreme Multistability in Memristive Jerk System with Cubic Nonlinearity
inferred← citeshttps://doi.org/10.1155/2021/2747174openalex-snapshot
Recent Advances in Dimensionality Reduction Modeling and Multistability Reconstitution of Memristive Circuit
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Control Design for Targeting Dynamics of Memristor Murali-Lakshmanan-Chua Circuit
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Passivity and Passification of Dynamic Memristor Neural Networks with Delays Operating in the Flux-Charge Domain
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Memristor Circuits for Simulating Neuron Spiking and Burst Phenomena
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Memristive Hodgkin-Huxley Spiking Neuron Model for Reproducing Neuron Behaviors
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Dynamical Investigation of a Modified Cubic Map with a Discrete Memristor Using Microcontrollers
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Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications
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Exploring the Reconfigurable Memory Effect in Electroforming-Free YMnO3-Based Resistive Switches: Towards a Tunable Frequency Response
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Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator
inferred← citeshttps://doi.org/10.3390/mi15030390openalex-snapshot
A Phase Model of the Bio-Inspired NbOx Local Active Memristor under Weak Coupling Conditions
inferred← citeshttps://doi.org/10.3390/sym14040800openalex-snapshot
Two Modified Chaotic Maps Based on Discrete Memristor Model
inferred← citeshttps://doi.org/10.3390/sym17081358openalex-snapshot
Discrete Memristor-Based Hyperchaotic Map and Its Analog Circuit Implementation
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The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit
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Memristive Anodic Oxides: Production, Properties and Applications in Neuromorphic Computing
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