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Nonautonomous Single Inertial Neuron Model: Coexisting Patterns, Hamilton Energy, and Analog circuit implementation

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2025年第1期35卷

作者： Zhao, Shuang Chuah, Joon Huang Khairuddin, Anis Salwa Mohd Zhang, Yunzhen Chen, Chengjie Univ Malaya Fac Engn Dept Elect Engn Kuala Lumpur 50603 Malaysia Changzhou Coll Informat Technol Sch Software & Big Data Changzhou 213164 Peoples R China Southern Univ Coll Fac Engn & Informat Technol Skudai 81300 Malaysia Xuchang Univ Sch Informat Engn Xuchang 461000 Peoples R China Jiangsu Univ Technol Sch Elect & Informat Engn Changzhou 213001 Peoples R China

The main objective of this study is to investigate the chaotic dynamics and analog circuit implementation of a nonautonomous single inertial neuron. First, the dimensionless mathematical model of such neuron is established. The equilibria with three kinds of stabilities are then depicted, and system symmetry and Hamilton energy function are analyzed, respectively. In numerical simulations, by using the two-dimensional/one-dimensional bifurcation diagrams, Lyapunov exponent spectra, phase plots, and basins of attraction, bifurcation of coexisting bubbles as well as bi-stable patterns are revealed, where the generated coexisting attractors are symmetric about the origin. In addition, we confirm that the complexity of the basins of attraction deteriorates with the increase of the frequency parameter. Finally, analog circuit experiments with few analog circuit elements are deployed, via which the bi-stable patterns of the model are well verified.

关键词： Neuron model chaos coexisting patterns Hamilton energy circuit implementation

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Single inertial neuron with forced bipolar pulse: chaotic dynamics, circuit implementation, and color image encryption

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PHYSICA SCRIPTA 2025年第1期100卷

作者： Zhao, Shuang Chuah, Joon Huang Khairuddin, Anis Salwa Mohd Chen, Chengjie Univ Malaya Fac Engn Dept Elect Engn Kuala Lumpur 50603 Malaysia Changzhou Coll Informat Technol Sch Software & Big Data Changzhou 213164 Peoples R China Southern Univ Coll Fac Engn & Informat Technol Skudai 81300 Malaysia Jiangsu Univ Technol Sch Elect & Informat Engn Changzhou 213001 Peoples R China

The bipolar pulse current can effectively mimic the external time-varying stimulus of neurons, and its effect of neuronal dynamics has rarely been reported. To this end, this paper reports the effects of bipolar pulses on a two-dimensional single inertial neuron model, showcasing the chaotic dynamics of hidden attractors and coexisting symmetric attractors, which is of significant importance for understanding the complex behaviors of neuron dynamics under time-varying external stimuli and its application. Firstly, the mathematical model of the single intertial neuron model with forced bipolar pulse is presented, and then the equilibrium states behaving as unstable saddle point (USP), stable node-focus (SNF), and stable node point (SNP) are analyzed. Additionally, by using multiple dynamical methods including bifurcation plots, basins of attraction, and phase plots, complex dynamics of interesting bifurcation behaviors and coexisting attractors are revealed, which are induced by the forced bipolar pulse current as well as initial values, both. In addition, such effets are well valideted via a simple multiplerless electronic neuron circuit. The implementation circuit of presented model is constructed on the analog level and executed using PSIM circuit platform. The measurement results verified the double-scroll chaotic attractors and the coexisting period/chaos behaviors. Finally, the chaotic sequences of the model are applied to color image encryption for the benefit of requirements on modern security field. The encryption effectiveness is demonstrated through various evaluation indexes, including histogram analysis, information entropy, correlation coefficient, plaintext sensitivity, and resistance to noise attacks.

关键词： neuron model chaos coexisting symmetric attractors circuit implementation image encryption

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Multi-frequency weak signal detection based on Liu-like chaotic synchronization system and its hardware circuit implementation

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INTEGRATION-THE VLSI JOURNAL 2025年 100卷

作者： Yan, Shaohui Guo, Zihao Song, Jincai Northwest Normal Univ Coll Phys & Elect Engn Lanzhou 730070 Peoples R China

Considering the shortcomings of traditional chaotic systems in weak signal detection methods, such as the high threshold sensitivity requirement and the narrow detection frequency domain. This study proposes a novel threedimensional chaotic synchronization system, and the dynamical of the system are exhaustively characterized using equilibrium points, phase diagrams, Lyapunov exponential spectra, and bifurcation diagrams. This method involves weak signal detection by means of chaotic synchronization control. Synchronization of a chaotic system using a backstepping synchronization method is used to detect weak signals by analyzing the synchronization error after the introduction of weak signals in a strong noise background. The chaotic system is implemented by hardware circuits, and the simulation of chaotic synchronization control and detection of weak signals from the perspective of circuits is carried out by circuit simulation software. Additionally, the frequency range within which the system is capable of weak signal detection is tested through extensive simulation experiments. Finally, multi-frequency signals detection experiments are performed. The experimental results demonstrate that the system can accurately detect the frequency of weak signals address the limitations of narrow-band detection and multi-frequency signal detection is possible. Meanwhile, the circuit structure proposed in this paper is simple and has some value for engineering applications.

关键词： Chaotic system Synchronization error Weak signal detection circuit implementation

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circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system

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NONLINEAR DYNAMICS 2012年第1期67卷 89-96页

作者： Liu, Yongjian Yulin Normal Univ Dept Math & Comp Sci Yulin 537000 Peoples R China

This paper studies the problem of the circuit implementation and the finite-time synchronization for the 4D (four-dimensional) Rabinovich hyperchaotic system. The electronic circuit of 4D hyperchaotic system is designed. It is rigorously proven that global finite-time synchronization can be achieved for hyperchaotic systems which have uncertain parameters.

关键词： Hyperchaotic system circuit implementation Finite-time synchronization

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circuit implementation and multiform intermittency in a hyper-chaotic model extended from the Lorenz system

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Chinese Physics B 2009年第5期18卷 1792-1800页

作者：仓诗建陈增强吴文娟 Department of Industry Design Tianjin University of Science and Technology Department of Automation Nankai University

This paper presents a non-autonomous hyper-chaotic system, which is formed by adding a periodic driving signal to a four-dimensional chaotic model extended from the Lorenz system. The resulting non-autonomous hyper-chaotic system can display any dynamic behaviour among the periodic orbits, intermittency, chaos and hyper-chaos by controlling the frequency of the periodic signal. The phenomenon has been well demonstrated by numerical simulations, bifurcation analysis and electronic circuit realization. Moreover, the system is concrete evidence for the presence of Pomeau- Manneville Type-I intermittency and crisis-induced intermittency. The emergence of a different type of intermittency is similarly subjected to the frequency of periodic forcing. By statistical analysis, power scaling laws consisting in different intermittency are obtained for the lifetime in the laminar state between burst states.

关键词： chaos circuit implementation type-I intermittency crisis-induced intermittency

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circuit implementation of digitally programmable transconductance amplifier in analog simulation of reaction-diffusion neural model

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NEUROCOMPUTING 2017年 227卷 74-81页

作者： Sun, Miao He, Xing Wang, Tiancai Tan, Jie Xia, Dawen Southwest Univ Sch Elect & Informat Engn Chongqing 400715 Peoples R China Guizhou Minzu Univ Sch Informat Engn Guiyang 550025 Peoples R China

This paper is concerned with circuit implementation in reaction-diffusion neuron model. Firstly, in order to realize easily, one obtains the equivalent form by discretization of this neuron model. In the frame of discrete model, every parameter can be represented by the basic circuit component. Then the digital programmable transconductance amplifier (DPTA) is designed to realize the digitally function in circuit. In addition, the DPTA is applied to realize two activation functions and the simulation results are verified in Multisim.

关键词： Reaction-diffusion equation Neural network circuit implementation

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circuit implementation of Power Converter for High-Speed Switching Operations

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Chinese Journal of Electrical Engineering 2018年第3期4卷 47-52页

作者： Keiji Wada Department of Electronics Engineering and Computer Science Tokyo Metropolitan UniversityTokyo Japan

Recently,high di/dt and dv/dt switching operations of power converter circuits has been discussed for realizing a high-efficiency power converter *** this case,parasitic inductances of the bus bar between a DC capacitor and power devices may cause issues of overshoot voltage and electromagnetic interference(EMI)***,it is necessary to design the bus bar geometry while considering the minimization and optimization of the parasitic inductance of bus *** paper discusses a relationship between bus bar geometry and switching *** addition,the bus bar analysis is based on the PEEC method,and the bus bar geometry is designed by considering the stray inductance with using an inductance-map ***,this paper also presents a design procedure of acceptable stray inductance based on a standardization *** should be noted that the stray inductance is designed not for minimization,but optimization,and it is shown not as an absolute value(H),but as a percentage value(%).Finally,the oscillation waveforms under turn-off operation will be discussed depending on the bus bar geometry.

关键词： Bus bar inductance bus bar geometry circuit implementation EMI switching characteristics

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circuit implementation of Fixed-Time Zeroing Neural Network for Time-Varying Equality Constrained Quadratic Programming 18th

Circuit Implementation of Fixed-Time Zeroing Neural Network ...

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18th International Conference on Neural Networks (ISNN)

作者： Zhou, Ruiqi Ju, Xingxing Che, Hangjun Zhang, Qian Sichuan Univ Coll Elect & Informat Engn Chengdu Peoples R China Southwest Univ Sch Elect & Informat Engn Chongqing Peoples R China Anhui Univ Sch Elect Engn & Automat Hefei Peoples R China Anhui Univ Anhui Key Lab Ind Energy Saving & Safety Hefei Peoples R China

ISBN: (纸本)9789819743988;9789819743995

This paper proposes a novel circuit framework of zeroing neural network for time-varying equality constrained quadratic programming problems (TEQPPs). It is proved that the designed circuit can not only parallel solve TEQPPs in a fixed time, but also cost less hardware resources to be implemented by virtue of its simple structure. Rigorous analysis derives the convergence time upper bound of this novel circuit framework in noiseless and bounded noise polluted condition respectively. Moreover, this circuit can also avoid calculating the pseudoinverse of coefficient matrix when solving TEQPPs. Several circuit experiments are simulated to validate those conclusions.

关键词： circuit implementation zeroing neural network fixed-time convergence robustness time-varying quadratic programming

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circuit implementation of A Time-delayed Chaotic System via Impulsive Control 9

Circuit Implementation of A Time-delayed Chaotic System via ...

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9th International Conference on Intelligent Control and Information Processing (ICICIP)

作者： Wu, Hongyan Li, Chuandong Han, Yiyan Southwest Univ Coll Elect & Informat Engn Chongqing Key Lab Chongqing Peoples R China

ISBN: (纸本)9781538658604

This paper investigates the circuit implementation of a time-delayed chaotic system via impulsive control. A fixed-time impulse circuit is implemented, and the impulsive time-delayed system is constructed by adding the impulse circuit as impulsive control to a time-delayed system. The circuit model of the impulsive time-delayed system is also realized. By analyzing the dynamics such as timing diagram, phase diagram, initial value sensitivity characteristics, and the maximum Lyapunov exponent, the impulsive time-delayed system is proved to be chaotic. The results of circuit and dynamics verify the effectiveness and feasibility of the impulse circuit and the impulsive time-delayed chaotic system.

关键词： Impulse circuit time-delayed chaotic system circuit implementation dynamical analysis

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circuit implementation of Lozi Ring-Coupled Map 4

Circuit Implementation of Lozi Ring-Coupled Map

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4th International Scientific-Practical Conference Problems of Infocommunications. Science and Technology (PIC S&T)

作者： Haliuk, Serhii Krulikovskyi, Oleh Politanskyi, Leonid Corinto, Fernando Chernivtsi Natl Univ Dept Radio Engn & Informat Secur Chernovtsy Ukraine Politecn Torino Dept Elect & Telecommun Turin Italy

ISBN: (纸本)9781538609835

In this manuscript the circuit implementation of two-dimensional Lozi ring-coupled map for the generator of chaotic signals is proposed. Used chaotic systems are multidimensional maps, that are characterized by a uniform distribution of the generated values, continuous bifurcation diagram, that makes it possible to apply them to information security systems. It is shown that the results of experiment and simulation are agreed.

关键词： Lozi ring-coupled map circuit implementation uniform distribution

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