Theoretical and Experimental Study on Rapid Decompression Oscillation in Altitude Chamber by Zifeng Tian, Jianfeng Lu, Zhao Gu, Lihua Yu, Hao Zhou, Lijun Yang

“…Given the frequent airflow excitation phenomenon caused by the rapid decompression of the altitude chamber, the mathematical model of the nonlinear system of the rapid decompression of the altitude chamber is established. …”
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An Integrated Test-Based Nonlinear Aeroelastic Analysis Method to Freeplay-Induced Limit-Cycle Oscillations by Yukai Sun, Zhigang Wu, Chao Yang, Xiangyu Wang, Chuansheng Wang

“…An integrated nonlinear aeroelastic analysis method and procedure based on the nonlinear system identification technology is proposed. …”
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Extended Ellipsoidal Outer-Bounding Set-Membership Estimation for Nonlinear Discrete-Time Systems with Unknown-but-Bounded Disturbances by Yushuang Liu, Yan Zhao, Falin Wu

“…It has been demonstrated that the EEOB-SME algorithm is stable and the estimation errors of the EEOB-SME are bounded when the nonlinear system is observable. The EEOB-SME decreases the computation load and the feasible sets of EEOB-SME contain more true states. …”
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Control of Energy Storage Systems for Aeronautic Applications by G. Canciello, A. Cavallo, B. Guida

“…Formal stability proofs are given for the resulting nonlinear system, and strong robustness results from the use of high-gain and variable structure control implementation. …”
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Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks by Guobao Liu, Shibin Shen, Xianglei Jia

“…The validity of our work is illustrated through a mostly used example of the nonlinear system.…”
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model by Fabien Crauste

“…We analyze the asymptotic stability of a nonlinear system of two differential equations with delay,describing the dynamics of blood cell production. …”
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Function Projective Synchronization of Two Complex Networks with Unknown Sector Nonlinear Input and Multiple Time-Varying Delay Couplings by Na Fang, Da Wei, Nan-nan Yin, Dan-ying Xu, Hua Liu, Jie Fang

“…Different from some existing studies on nonlinear system with sector nonlinear input, this paper studies the synchronization of two complex dynamic networks when the boundary of sector nonlinear input is unknown. …”
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Generalized Quadratic Linearization of Machine Models by Parvathy Ayalur Krishnamoorthy, Kamaraj Vijayarajan, Devanathan Rajagopalan

“…In the exact linearization of involutive nonlinear system models, the issue of singularity needs to be addressed in practical applications. …”
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Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation by M.M. Khader, A. Eid, M. Adel

“…This method is used to convert the problem’s system of ordinary differential equations (ODEs) into a nonlinear system of algebraic equations. This system is built as a restricted optimization problem and optimized to obtain the series solution’s unknown coefficients. …”
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Identification of Industrial Furnace Temperature for Sintering Process in Nuclear Fuel Fabrication Using NARX Neural Networks by Dede Sutarya, Benyamin Kusumoputro

“…Nonlinear system identification is becoming an important tool which can be used to improve control performance and achieve robust fault-tolerant behavior. …”
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Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System by Li Ding, Shangshang Cheng, Kaifei Zhang, Jiajun Chai, He Li, Chengdong Niu, Chao Cao

“…With the help of the method of nonlinear system dynamics analysis research, the Poincaré mapping of hinge joint collision vibration is constructed, the bifurcation diagram of the system with different parameters is solved, and the variation law of the system motion and the influence of parameters are analyzed by combining the time response diagram, phase diagram, Poincaré cross section diagram, and spectrum diagram of the typical motion of the system. …”
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Multiple Model Adaptive Tracking Control Based on Adaptive Dynamic Programming by Kang Wang, Xiaoli Li, Yang Li

“…Adaptive dynamic programming (ADP) has been tested as an effective method for optimal control of nonlinear system. However, as the structure of ADP requires control input to satisfy the initial admissible control condition, the control performance may be deteriorated due to abrupt parameter change or system failure. …”
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Stability Analysis of Pneumatic Cabin Pressure Regulating System with Complex Nonlinear Characteristics by Xinhua Zheng, Lili Xie, Lizhuo Liu

“…In the circumstance, commonly used methods of nonlinear system analysis are not applicable. Therefore a new method is proposed to construct phase plane trajectories numerically. …”
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Effective Method for Analysis of Electrothermally Coupled Fields by Jacek Korytkowski, Stanisław Wincenciak

“…An effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. …”
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WH-EA: An Evolutionary Algorithm for Wiener-Hammerstein System Identification by J. Zambrano, J. Sanchis, J. M. Herrero, M. Martínez

“…The performance of the proposed approach is analysed by using a demonstration example and a nonlinear system identification benchmark.…”
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The Inverse Problem of Identification of Hydrogen Permeability Model by Yury V. Zaika, Natalia I. Rodchenkova, Ekaterina K. Kostikova

“…A numerical method is developed for TDS spectrum simulation, where only integration of a nonlinear system of low order ordinary differential equations is required. …”
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Mixed Convection Squeezing Flow of Nanofluids in a Rotating Channel with Thermal Radiation by Wankui Bu, Hui Xu, Ilyas Khan, Sheikh Irfan Ullah Khan, Anwar Zeb

“…Water and ethylene glycol are the base fluids along with gamma-alumina nanoparticles. The coupled nonlinear system of PDEs is transformed into a system of ODEs with the support of some appropriate resemblance alterations. …”
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Bernstein Collocation Method for Solving MHD Jeffery–Hamel Blood Flow Problem with Error Estimations by Ahmad Sami Bataineh, Osman Rasit Isik, Ishak Hashim

“…By using the Bernstein collocation method, the problem is transformed into a nonlinear system of algebraic equations. The residual correction procedure is used to estimate the error; it is simple to use and can be used even when the exact solution is unknown. …”
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SQLite Encryption Method for Embedded Databases Based on Chaos Algorithm by Junlong Shi

“…With the widespread use of embedded systems, chaos is a nonlinear system with certainty and complexity. It is an important topic in the field of information security at present, and it is an effective way to apply to embedded systems. …”
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Approximate Super- and Sub-harmonic Response of a Multi-DOFs System with Local Cubic Nonlinearities under Resonance by Yang CaiJin

“…The approximation results are validated by comparing them with the calculations from direct numerical integration of the equation of motion of the original nonlinear system. Comparably good agreements are obtained.…”
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