4.4 Article

Non-homogeneous Non-inductive Chaotic Circuit Based on Fractional-Order Active Generalized Memristor and its FPGA Implementation

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Multidisciplinary

Anti-synchronization of a M-Hopfield neural network with generalized hyperbolic tangent activation function

E. Viera-Martin et al.

Summary: This paper analyzes the dynamics of non-integer Hopfield neural networks using the generalized hyperbolic tangent transfer function and the M-truncated derivative with both constant and variable orders. The behaviors of the novel neural networks are studied through phase portraits and a 0-1 test to identify strong chaotic behaviors. The numerical results show that the generalized Hopfield networks exhibit weak chaotic dynamics with constant values below 0.99 and regular behaviors below 0.8. The chaotic behaviors in systems with variable orders depend on the decay rate of the time-varying function. The paper also demonstrates the control aim of anti-synchronizing a master system and a slave system. These findings are important for developing protocols for secure communications, random number generators, image encryption schemes, and more.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2022)

Article Physics, Multidisciplinary

Dynamics and synchronization of a fractional conformable neural network with power-law

A. Coronel-Escamilla et al.

Summary: In this study, the dynamics of a chaotic neural network were investigated using the fractional-conformable operator and non-integer order derivatives. The effects and behaviors of using the conformable operator and fractional-order derivatives were compared. The study found that both the conformable operator and the fractional derivative influenced the dynamics of the network, showing interesting behaviors. The use of a fractional-variable order in the derivative operator resulted in the system exhibiting more chaotic behavior. Furthermore, a full master-slave synchronization was proposed using the fractional-conformable approach, achieving synchronization between the master and slave systems.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2022)

Article Engineering, Mechanical

A fractional-order multistable locally active memristor and its chaotic system with transient transition, state jump

Wenli Xie et al.

Summary: Fractional-order calculus is used to develop a memristor with multistable locally active characteristics, showing stronger memory properties than integer-order memristors. This memristor is then applied in a chaotic system, resulting in new phenomena such as transient transitions and state jumps. Circuit simulations confirm the validity of the numerical results.

NONLINEAR DYNAMICS (2021)

Article Mathematics, Applied

Locally active memristor based oscillators: The dynamic route from period to chaos and hyperchaos

Jiajie Ying et al.

Summary: The study introduces a tristable locally active memristor and analyzes its application in periodic, chaotic, and hyperchaotic circuits, demonstrating the steady-state switching mechanism and minimum pulse width required for successful switching. The locally active memristor can oscillate periodically when connected with a linear inductor, leading to chaotic and hyperchaotic oscillations with the addition of a capacitor and extra inductor, respectively. The dynamic behaviors and complexity mechanism are further analyzed using various techniques like coexisting attractors, dynamic route map, bifurcation diagram, Lyapunov exponent spectrum, and the basin of attraction.
Article Engineering, Multidisciplinary

Dynamic Behaviors Analysis of a Novel Fractional-Order Chua's Memristive Circuit

Chaojun Wu et al.

Summary: This paper presents a novel fractional-order Chua's memristive circuit and conducts theoretical analysis and numerical simulation on its dynamic characteristics, revealing that the chaotic circuit exhibits periods, bifurcations, and chaos, with a narrow period window within the chaotic region.

MATHEMATICAL PROBLEMS IN ENGINEERING (2021)

Article Engineering, Electrical & Electronic

Application and Modeling of a Novel 4D Memristive Chaotic System for Communication Systems

Muhammet Emin Sahin et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2020)

Article Engineering, Electrical & Electronic

A Novel Simple 4-D Hyperchaotic System with a Saddle-Point Index-2 Equilibrium Point and Multistability: Design and FPGA-Based Applications

Pankaj Prakash et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2020)

Article Engineering, Mechanical

A novel simple chaotic circuit based on memristor-memcapacitor

Xujiong Ma et al.

NONLINEAR DYNAMICS (2020)

Article Mathematics, Interdisciplinary Applications

A modified Rossler prototype-4 system based on Chua's diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation

Paul Didier Kamdem Kuate et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Engineering, Mechanical

A memristor-meminductor-based chaotic system with abundant dynamical behaviors

Birong Xu et al.

NONLINEAR DYNAMICS (2019)

Article Mathematics, Interdisciplinary Applications

Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system

H. G. Wu et al.

CHAOS SOLITONS & FRACTALS (2019)

Article Mathematics, Interdisciplinary Applications

Two-memristor-based chaotic system and its extreme multistability reconstitution via dimensionality reduction analysis

Yunzhen Zhang et al.

CHAOS SOLITONS & FRACTALS (2019)

Article Mathematics, Interdisciplinary Applications

Complex Dynamical Behaviors of a Fractional-Order System Based on a Locally Active Memristor

Yajuan Yu et al.

COMPLEXITY (2019)

Article Physics, Multidisciplinary

Inductor-free multi-stable Chua's circuit constructed by improved PI-type memristor emulator and active Sallen-Key high-pass filter

Jiaoyan Luo et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2019)

Article Engineering, Electrical & Electronic

Reconfigurable chaotic pseudo random number generator based on FPGA

Ahmed A. Rezk et al.

AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS (2019)

Article Computer Science, Information Systems

Periodically varied initial offset boosting behaviors in a memristive system with cosine memductance

Mo Chen et al.

FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING (2019)

Article Physics, Multidisciplinary

Impulsive anti-synchronization control for fractional-order chaotic circuit with memristor

F. Meng et al.

INDIAN JOURNAL OF PHYSICS (2019)

Article Engineering, Mechanical

Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components

Karthikeyan Rajagopal et al.

NONLINEAR DYNAMICS (2018)

Article Mathematics, Interdisciplinary Applications

Infinite Number of Hidden Attractors in Memristor-Based Autonomous Duffing Oscillator

Vaibhav Varshney et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2018)

Article Physics, Multidisciplinary

Fractional-order simplest memristor-based chaotic circuit with new derivative

Jingya Ruan et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2018)

Article Physics, Multidisciplinary

Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena

Abdon Atangana et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2018)

Article Mathematics, Interdisciplinary Applications

Fractional derivatives with no-index law property: Application to chaos and statistics

Abdon Atangana et al.

CHAOS SOLITONS & FRACTALS (2018)

Article Physics, Multidisciplinary

The (G′/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations

Emrullah Yasar et al.

PRAMANA-JOURNAL OF PHYSICS (2016)

Article Engineering, Electrical & Electronic

Fractional-order Memristor Response Under DC and Periodic Signals

Mohamed E. Fouda et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2015)

Article Engineering, Electrical & Electronic

A New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation

Diyi Chen et al.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2012)

Article Engineering, Electrical & Electronic

Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors

Massimiliano Di Ventra et al.

PROCEEDINGS OF THE IEEE (2009)

Review Mathematics, Interdisciplinary Applications

MEMRISTOR OSCILLATORS

Makoto Itoh et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2008)