PERTURBATION

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MULTIPLE SOLUTIONS FOR A HAMILTONIAN ELLIPTIC SYSTEM WITH SIGN-CHANGING PERTURBATION
《Acta Mathematica Scientia》2025年第2期602-614,共13页Peng CHEN Longjiang GU Yan WU 
supported by the NSFC(11301297);the Hubei Provincial Natural Science Foundation of China(2024AFB730);the Yichang City Natural Science Foundation(A-24-3-008);the Open Research Fund of Key Laboratory of Nonlinear Analysis and Applications(Central China Normal University),Ministry of Education,P.R.China(NAA2024ORG003);Gu's research was supported by the Zhejiang Provincial Natural Science Foundation(LQ21A010014);the NFSC(12101577).
In this paper,we study the elliptic system{-Δu+V(x)u=|v|^(p-2)v-λ_(2)|v|^(s2-2)v,-Δu+V(x)v=|u|^(p-2)u-λ_(1)|u|^(s1-2)u,u,v∈H^(1)(R^(N))with strongly indefinite structure and sign-changing nonlinearity.We overcome...
关键词：variational method strongly indefinite elliptic system multiple solutions signchanging nonlinearity 
Neural Network Based on Inter-layer Perturbation Strategy for Text Classification
《Machine Intelligence Research》2025年第1期176-188,共13页Nai Zhou Nianmin Yao Qibin Li 
supported by Project of China National Intellectual Property Administration(No.220134).
Recently,many researches have created adversarial samples to enrich the diversity of training data for improving the text classification performance via reducing the loss incurred in the neural network training.Howeve...
关键词：Perturbation strategy adversarial training machine learning text classification adversarial samples 
Impacts of the Initial Perturbation Scale and Magnitude on Convection-Allowing Ensemble Forecasts over Eastern China
《Journal of Meteorological Research》2025年第1期132-153,共22页Yanan MA Jing CHEN Jingzhuo WANG Fajing CHEN Jing WANG Zhizhen XU 
Supported by the National Natural Science Foundation of China(U2242213);National Science Foundation for Young Scholars of China(42205166).
Given the chaotic nature of the atmosphere and inevitable initial condition errors,constructing effective initial perturbations(IPs)is crucial for the performance of a convection-allowing ensemble prediction system(CA...
关键词：convection-allowing ensemble prediction system initial perturbation scales initial perturbation magnitudes forecast skill/verification perturbation growth 
Relativistic hyperpolarizabilities of atomic H,Li,and Be^(+)systems
《Chinese Physics B》2025年第2期230-239,共10页Shan-Shan Lu Hong-Yuan Zheng Zong-Chao Yan James F.Babb Li-Yan Tang 
supported by the National Natural Science Foundation of China(Grant Nos.12174402 and 12393821);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant Nos.XDB0920100 and XDB0920101);the Nature Science Foundation of Hubei Province(Grant Nos.2019CFA058 and 2022CFA013);supported by the Natural Sciences and Engineering Research Council of Canada(NSERC);supported in part by NSF grant PHY-2116679.All the calculations are finished on the APM-Theoretical Computing Cluster(APMTCC)。
For atoms in external electric fields,the hyperpolarizabilities are the coefficients describing the nonlinear interactions contributing to the induced energies at the fourth power of the applied electric fields.Accura...
关键词：HYPERPOLARIZABILITIES Stark effect fourth-order perturbation few-electron atoms 
Critical Perturbation Results for a Mixed Boundary Value Problem
《Chinese Annals of Mathematics,Series B》2025年第1期25-50,共26页Azeb ALGHANEMI Hichem CHTIOUI Moctar MOHAMEDEN 
Abstract Let K be a given positive function on a bounded domain Ω of R^(n),n≥3.The authors consider a nonlinear variational problem of the form:-Δu=K|u|^(4/n-2)u in Ω with mixed Dirichlet-Neumann boundary conditio...
关键词：Critical elliptic equations Variational methods Asymptotic analyzes Critical points at infinity 
Solitons in the Fifth-Order Kd V Equation with a Perturbation
《Chinese Physics Letters》2025年第1期10-14,共5页Wentao Li Yipu Chen Zhao Zhang Xiangyu Yang Biao Li 
supported by the National Natural Science Foundation of China under Grant Nos.12175111,12275144,and 12235007;the K.C.Wong Magna Fund at Ningbo University;the Scientific Research Innovation Project of Lingnan Normal University(Grant No.LT2401)。
The fifth-order Kd V equation with a perturbation term is naturally consistent with the shallow-water wave model.In this study,the leading-order asymptotic solution of the perturbed fifth-order Kd V equation was deriv...
关键词：dynamics method ASYMPTOTIC 
Electronic perturbation of Cu nanowire surfaces with functionalized graphdiyne for enhanced CO_(2)reduction reaction
《National Science Review》2024年第12期22-31,共10页Haiyuan Zou Dongfang Cheng Chao Tang Wen Luo Huatian Xiong Hongliang Dong Fan Li Tao Song Siyan Shu Hao Dai Ziang Cui Zhouguang Lu Lele Duan 
supported by the National Natural Science Foundation of China(22179057,L.D.;92372114,Z.L.);the start-up package from Westlake University(L.D.).
Electronic perturbation of the surfaces of Cu catalysts is crucial for optimizing electrochemical CO_(2)reduction activity,yet still poses great challenges.Herein,nanostructured Cu nanow ires(NW)w ith fine-tuned surfa...
关键词：CO_(2)reduction reaction copper nanowire group-functionalized graphdiyne surface electronic perturbation 
Transient shuttle for a widespread neural probe with minimal perturbation
《npj Flexible Electronics》2024年第1期498-508,共11页Yeonwook Roh Hyeongseok Kim Eun-A Kim Kyungbin Ji Minji Kang Dohyeon Gong Sunghoon Im Insic Hong Jieun Park Soo Jung Park YiseulBae Jae-Il Park Je-Sung Koh Seungyong Han Eun Jeong Lee Daeshik Kang 
supported by funding from the NRF of Korea(grant no.2022R1C1C1005741,2022R1A2C2093100,RS-2023-00217595,RS-2023-00271830);supported by the Korea Environment Industry&Technology Institute(KEITI)through the Digital Infrastructure Building Project for Monitoring,Surveying,and Evaluating the Environmental Health Program,funded by the Korea Ministry of Environment(MOE)(2021003330009).
Bioelectronic implants in the deep brain provide the opportunity to monitor deep brain activity with potential applications in disease diagnostics and treatment.However,mechanical mismatch between a probe and brain ti...
关键词：SHUTTLE NEURAL IMPLANTATION 
Influence of the homotopy stability perturbation on physical variations of non-local opto-electronic semiconductor materials
《Frontiers of Optoelectronics》2024年第4期109-123,共15页A.El-Dali Mohamed I.A.Othman 
In the current work,we investigate a novel technique specialized in stability perturbation theory to analyze the primary variations such as thermal,carrier,elastic,and mechanical waves in photothermal theory.The inter...
关键词：Homotopy perturbation method Opto-electronic deformation Laplace transform Non-local excitation Bifurcation solutions Stability perturbation 
Research on adaptive coati optimization algorithm based on chaos and perturbation strategies
《The Journal of China Universities of Posts and Telecommunications》2024年第6期44-56,共13页Wu Jin Gao Yaqiong Su Zhengdong Xiong Hao 
supported by the National Key Research and Development (R&D) Program of China:Science and Technology Innovation 2030 (2022ZD0119000)。
The coati optimization algorithm(COA) is a bionic optimization algorithm that imitates natural phenomena and has good performance, but it suffers from the limitations of slow convergence and low accuracy of the optima...
关键词：chaotic maps Levy flight Cauchy perturbation adaptive strategy 
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