Nonlinear-Model-Based Analysis Methods for Time-Course Gene Expression Data by Li-Ping Tian, Li-Zhi Liu, Fang-Xiang Wu

“…In this paper, we employ a nonlinear model to analyse time-course gene expression data. …”
Get full text

Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations by H.Thomas Banks, Danielle Robbins, Karyn L. Sutton

Get full text

Impacts of Backlash on Nonlinear Dynamic Characteristic of Encased Differential Planetary Gear Train by Zengbao Zhu, Longchao Cheng, Rui Xu, Rupeng Zhu

“…The nonlinear dynamic response was obtained by solving the formulated nonlinear dynamic equation, and the impacts of backlash on dynamic characteristics of the gear train were then analyzed by combining time process diagram, phase diagram, and Poincaré section. …”
Get full text

DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) by MA Shuo, ZHU XiFeng, WANG JianFeng

“…A type of single-degree-of-freedom mechanical impact vibration system with dry friction and nonlinear constraints is studied. Through the fourth-order variable step Runge-Kutta numerical algorithm, the dynamics of the mechanical vibration system generated by the low-frequency excitation of the p/1 periodic motion are analyzed. …”
Get full text

Observer-Based Control Design for Nonlinear Networked Control Systems with Limited Information by Yilin Wang, Zhengrong Xiang, Hamid Reza Karimi

Get full text

A Parametric Study of Nonlinear Seismic Response Analysis of Transmission Line Structures by Li Tian, Yanming Wang, Zhenhua Yi, Hui Qian

“…A parametric study of nonlinear seismic response analysis of transmission line structures subjected to earthquake loading is studied in this paper. …”
Get full text

Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures by Xin Zhou, Jianlong Sheng, Ruili Lu, Zuyang Ye, Wang Luo

“…The Forchheimer equation is validated to describe the nonlinear relationship between flow rate and pressure gradient. …”
Get full text

Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…We present new high-order optimal iterative methods for solving a nonlinear equation, f(x)=0, by using Padé-like approximants. …”
Get full text

Modification of Nonlinear Conjugate Gradient Method with Weak Wolfe-Powell Line Search by Ahmad Alhawarat, Zabidin Salleh

Get full text

Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method by Yanqin Liu

“…A homotopy perturbation transformation method (HPTM) which is based on homotopy perturbation method and Laplace transform is first applied to solve the approximate solution of the fractional nonlinear equations. The nonlinear terms can be easily handled by the use of He's polynomials. …”
Get full text

Interval Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales by Yang-Cong Qiu, Qi-Ru Wang

“…Using functions in some function classes and a generalized Riccati technique, we establish interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))xΔ(t))Δ+f(t,x(σ(t)))=0. …”
Get full text

Maximum Norm Analysis of a Nonmatching Grids Method for Nonlinear Elliptic PDES by A. Harbi, M. Boulbrachene

“…We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on two overlapping subdomains with nonmatching grids. …”
Get full text

Numerical Analysis of Dynamic Properties of Nonlinear Rotor Systems of Aircraft Jet Engines by Ján Kamenický, Eduard Malenovský, Jaroslav Zapomel

Subjects: Get full text

Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics by Xinhua Zheng, Lili Xie, Lizhuo Liu

“…Stability of pneumatic cabin pressure regulating system with complex nonlinear characteristics is considered. The mathematical model of each component is obtained and given in detail. …”
Get full text

The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations by Abdon Atangana, Adem Kılıçman

“…We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. …”
Get full text

Robust Stabilization of Nonlinear Fractional Order Interconnected Systems Based on T-S Fuzzy Model by Yuting Li

“…This paper concerns robust stabilization of nonlinear fractional order interconnected systems. …”
Get full text

Applications of Riccati–Bernoulli and Bäcklund Methods to the Kuralay-II System in Nonlinear Sciences by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…The Kuralay-II system (K-IIS) plays a pivotal role in modeling sophisticated nonlinear wave processes, particularly in the field of optics. …”
Get full text

Nonlinear optical response of thermally stable perovskite for near-infrared optical modulator by Jiang Wang, Liang Xie, Jingjing Liu, Yuxuan Sun, Jinglong Xu, Jiacheng Li, Zhongying Zhang, Chengbing Qin, Liantuan Xiao, Guofeng Zhang, Yonggang Wang, Zhichun Yang, Guanghua Cheng

Subjects: “…Nonlinear optical…”
Get full text

Nonlinear stability of traveling wavefronts in an age-structured reaction-diffusion population model by Guangrui Li, Ming Mei, Yau Shu Wong

“…Linear stabilityfor this model was first presented by Gourley [4], when the time delay is small.Here, we extend the previous result to the nonlinear stability by using thetechnical weighted-energy method, when the initial perturbation around thewavefront decays to zero exponentially as x→-∞, but the initial perturbationcan be arbitrarily large on other locations. …”
Get full text

Normal Forms for Nonautonomous Nonlinear Difference Systems Under Nonuniform Dichotomy Spectrum by Ning Song

“…In this paper, the normal forms of nonautonomous nonlinear systems with discrete time are investigated. …”
Get full text