FRACTIONAL-ORDER

作品数:273被引量:483H指数:10
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相关领域:理学更多>>
相关作者:谭超李特吴莹康艳梅更多>>
相关机构:西安交通大学三峡大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽省自然科学基金更多>>
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A fractional-order improved FitzHugh–Nagumo neuron model
《Chinese Physics B》2025年第1期519-528,共10页Pushpendra Kumar Vedat Suat Erturk 
We propose a fractional-order improved Fitz Hugh–Nagumo(FHN)neuron model in terms of a generalized Caputo fractional derivative.Following the existence of a unique solution for the proposed model,we derive the numeri...
关键词:FitzHugh-Nagumo neuron model generalized Caputo fractional derivative L1 predictor-corrector method STABILITY error estimation 
A fractional-order chaotic Lorenz-based chemical system:Dynamic investigation,complexity analysis,chaos synchronization,and its application to secure communication
《Chinese Physics B》2024年第12期223-235,共13页Haneche Nabil Hamaizia Tayeb 
Synchronization of fractional-order chaotic systems is receiving significant attention in the literature due to its applications in a variety of fields,including cryptography,optics,and secure communications.In this p...
关键词:chaotic system Adomian decomposition method modified projective synchronization secure communication 
Dynamical analysis,control,boundedness,and prediction for a fractional-order financial risk system
《Chinese Physics B》2024年第11期223-235,共13页Kehao Yang Song Zheng Tianhu Yu Aceng Sambas Muhamad Deni Johansyah Hassan Saberi-Nik Mohamad Afendee Mohamed 
Project jointly supported by the National Natural Science Foundation of China(Grant No.12372013);Program for Science and Technology Innovation Talents in Universities of Henan Province,China(Grant No.24HASTIT034);the Natural Science Foundation of Henan Province,China(Grant No.232300420122);the Humanities and Society Science Foundation from the Ministry of Education of China(Grant No.19YJCZH265);China Postdoctoral Science Foundation(Grant No.2019M651633);First Class Discipline of Zhejiang-A(Zhejiang University of Finance and Economics Statistics),the Collaborative Innovation Center for Data Science and Big Data Analysis(Zhejiang University of Finance and Economics-Statistics).
This paper delves into the dynamical analysis,chaos control,Mittag–Leffler boundedness(MLB),and forecasting a fractional-order financial risk(FOFR)system through an absolute function term.To this end,the FOFR system ...
关键词:FOFR system dynamical analysis CONTROL BOUNDEDNESS forecasting 
A viscoelastic nonlinear energy sink with an electromagnetic energy harvester:Narrow-band random response
《Chinese Physics B》2024年第7期147-156,共10页廖志晶 孙亚辉 刘洋 
Project supported by the National Natural Science Foundation of China(Grant No.12002089);the Science and Technology Projects in Guangzhou(Grant No.2023A04J1323);UKRI Horizon Europe Guarantee(Grant No.EP/Y016130/1)。
Nonlinear energy sink is a passive energy absorption device that surpasses linear dampers, and has gained significant attention in various fields of vibration suppression. This is owing to its capacity to offer high v...
关键词:nonlinear energy sink fractional-order damping multiple-scale method energy harvester 
Fractional-order heterogeneous memristive Rulkov neuronal network and its medical image watermarking application
《Chinese Physics B》2024年第5期306-314,共9页丁大为 牛炎 张红伟 杨宗立 王金 王威 王谋媛 
This article proposes a novel fractional heterogeneous neural network by coupling a Rulkov neuron with a Hopfield neural network(FRHNN),utilizing memristors for emulating neural synapses.The study firstly demonstrates...
关键词:fractional order MEMRISTORS Rulkov neuron medical image watermarking 
Dynamics analysis and cryptographic implementation of a fractional-order memristive cellular neural network model
《Chinese Physics B》2024年第4期418-433,共16页周新卫 蒋东华 Jean De Dieu Nkapkop Musheer Ahmad Jules Tagne Fossi Nestor Tsafack 吴建华 
Due to the fact that a memristor with memory properties is an ideal electronic component for implementation of the artificial neural synaptic function,a brand-new tristable locally active memristor model is first prop...
关键词:cellular neural network MEMRISTOR hardware circuit compressive sensing privacy data protection 
Terahertz quasi-perfect vortex beam with integer-order and fractional-order generated by spiral spherical harmonic axicon
《Chinese Physics B》2024年第1期458-467,共10页涂思语 刘德峰 刘劲松 杨振刚 王可嘉 
Project supported by the Fundamental Research Funds for the Central Universities,China (Grant No.2017KFYXJJ029)。
We propose a new method to generate terahertz perfect vortex beam with integer-order and fractional-order. A new optical diffractive element composed of the phase combination of a spherical harmonic axicon and a spira...
关键词:TERAHERTZ spiral spherical harmonic axicon quasi-perfect vortex beam topological charge number 
Quasi-synchronization of fractional-order complex networks with random coupling via quantized control
《Chinese Physics B》2023年第11期355-363,共9页张红伟 程然 丁大为 
supported by the Anhui Provincial Development and Reform Commission New Energy Vehicles and Intelligent Connected Automobile Industry Technology Innovation Project。
We investigate the quasi-synchronization of fractional-order complex networks(FCNs) with random coupling via quantized control. Firstly, based on the logarithmic quantizer theory and the Lyapunov stability theory, a n...
关键词:complex network FRACTIONAL-ORDER random coupling time-varying delay QUASI-SYNCHRONIZATION quantized control 
A novel fractional-order hyperchaotic complex system and its synchronization
《Chinese Physics B》2023年第6期151-160,共10页金孟鑫 孙克辉 贺少波 
Project supported by the National Natural Science Foundation of China (Grant Nos. 62071496, 61901530, and 62061008);the Innovation Project of Graduate of Central South University (Grant No. 2022zzts0681)。
A novel fractional-order hyperchaotic complex system is proposed by introducing the Caputo fractional-order derivative operator and a constant term to the complex simplified Lorenz system. The proposed system has diff...
关键词:fractional calculus complex hyperchaos simplified Lorenz system complex generalized projective synchronization 
Firing activities in a fractional-order Hindmarsh–Rose neuron with multistable memristor as autapse
《Chinese Physics B》2023年第1期227-238,共12页李志军 谢文强 曾金芳 曾以成 
Project supported by the National Key Research and Development Program of China (Grant No.2018AAA0103300);the National Natural Science Foundation of China (Grant Nos.62171401 and 62071411)。
Considering the fact that memristors have the characteristics similar to biological synapses, a fractional-order multistable memristor is proposed in this paper. It is verified that the fractional-order memristor has ...
关键词:FRACTIONAL-ORDER multistable NEURON FIRING locally-active memristor 
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