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...
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...
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 ...
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...
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...
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...
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...
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...
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...
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 ...