Study on Amplitude Modulation Principle of Chaotic System by Jian-Rong Du, Chun-Lai Li, Kun Qian, Zhao-Yu Li, Wen Li

“…But for the second system, none of nonlinear coefficient can be employed to control the signal amplitude. …”
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Second order sliding mode control with proportional integral observer for wing rock by Ahmad Mahmood, Jamshed Iqbal

“…A second order sliding mode control (SOSMC) based on a proposed nonlinear sliding manifold is designed to achieve improved transient response and control performance by robustness. …”
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Combined lock-in thermography and heat flow measurements for analysing heat dissipation during fatigue crack propagation by J. Bär, A. Vshivkov, O. Plekhov

“…Whereas the thermography measurements show a linear decrease of the signal with rising crack length, the heat flow measurements show a clearly nonlinear dependency. Obviously the measured energies in thermography and peltier based heat flow measurement are not comparable…”
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Energy Balanced Scheduling for Target Tracking with Distance-Dependent Measurement Noise in a WSN by Xiaoqing Hu, Ming Bao, Yu-Hen Hu, Bugong Xu

“…It is assumed that the distance estimates of range sensors are contaminated by distance-dependent multiplicative observation noises. The nonlinear measurement model leads to the application of a generalized unscented Kalman filtering (GUKF) tracking algorithm. …”
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Mechanical Performance and Design Method of Improved Lead Shear Damper with Long Stroke by Baoshun Wang, Weiming Yan, Haoxiang He

“…In order to verify the damping effect of ILSD-LS for the structures with long periods under long-period ground motions, the nonlinear time history analysis of a typical high-rise structure with ILSD-LS is carried out. …”
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Output Feedback Fractional-Order Nonsingular Terminal Sliding Mode Control of Underwater Remotely Operated Vehicles by Yaoyao Wang, Jiawang Chen, Linyi Gu

“…Finally, it is noteworthy that the proposed output feedback FO-NTSMC technique can be used to control a broad range of nonlinear second-order dynamical systems in finite time.…”
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A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics by Saima Akram, Faiza Akram, Moin-ud-Din Junjua, Misbah Arshad, Tariq Afzal

“…In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. …”
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The Union between Structural and Practical Identifiability Makes Strength in Reducing Oncological Model Complexity: A Case Study by Maria Pia Saccomani, Karl Thomaseth

“…The most widely used are nonlinear ODE models, whose identification is often difficult due to experimental limitations. …”
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Investigation of Mode I fracture toughness of red Verona marble after thermal treatment by Daniela Scorza, Andrea Carpinteri, Giovanni Fortese, Sabrina Vantadori, Daniele Ferretti, Roberto Brighenti

“…Such a method is able to take into account the slow nonlinear crack growth occurring before the peak load, typical of quasi-brittle materials, with the advantage of easy specimen preparation and simple test configuration. …”
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Cycle-based formulations in Distance Geometry by Liberti, Leo, Iommazzo, Gabriele, Lavor, Carlile, Maculan, Nelson

“…Solution algorithms are generally constructed using local or global nonlinear optimization techniques. We present a new modelling technique for this problem where, instead of deciding vertex positions, the formulations decide the length of the segments representing the edges in each cycle in the graph, projected in every dimension. …”
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Evaluation of Seismic Performance and Effectiveness of Multiple Slim-Type Damper System for Seismic Response Control of Building Structures by David Kim, Eun Hee Sung, Kwan-Soon Park, Jaegyun Park

“…Numerical simulations are also carried out by nonlinear time history analysis with a ten-story earthquake excited building structure. …”
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Probability of Exceeding Damage States in Plates Using BEM by Ernesto Pineda-León, José Manuel Rosales-Juárez, Dante Tolentino, Orlando Susarrey-Huerta

“…An approach to obtain fragility curves taking into account the formulation for shear deformable plate theory with combined geometric and material nonlinearities and the boundary element method is proposed. …”
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Convergence Region of Newton Iterative Power Flow Method: Numerical Studies by Jiao-Jiao Deng, Hsiao-Dong Chiang

“…In addition, the convergence regions of NR method for power flow equations with different nonlinear load models are also fractal. This fractal property highlights the importance of choosing initial guesses since a small variation of an initial guess near the convergence boundary leads to two different power flow solutions. …”
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The Existence of Positive Solutions for Boundary Value Problem of the Fractional Sturm-Liouville Functional Differential Equation by Yanan Li, Shurong Sun, Zhenlai Han, Hongling Lu

“…We study boundary value problems for the following nonlinear fractional Sturm-Liouville functional differential equations involving the Caputo fractional derivative:   CDβ(p(t)CDαu(t)) + f(t,u(t-τ),u(t+θ))=0, t∈(0,1),  CDαu(0)= CDαu(1)=( CDαu(0))=0, au(t)-bu′(t)=η(t), t∈[-τ,0], cu(t)+du′(t)=ξ(t), t∈[1,1+θ], where   CDα,  CDβ denote the Caputo fractional derivatives, f is a nonnegative continuous functional defined on C([-τ,1+θ],ℝ), 1<α≤2, 2<β≤3, 0<τ, θ<1/4 are suitably small, a,b,c,d>0, and η∈C([-τ,0],[0,∞)), ξ∈C([1,1+θ],[0,∞)). …”
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International Gold Price Forecast Based on CEEMDAN and Support Vector Regression with Grey Wolf Algorithm by Wanbo Lu, Tingting Qiu, Wenhui Shi, Xiaojun Sun

“…This hybrid model combines the methodology of complex systems with machine learning techniques, making it more appropriate for analyzing relationships such as high-frequency dependences and solving complex nonlinear problems. Finally, the final result is obtained by combining the forecasting results of the three subsequences. …”
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Study on the Deformation and Stability of Proppant Column in High-Conductivity Channel Fracturing by Ming Wang, Feng Zhang, Hanxiang Wang

“…The nonlinear constitutive model of the proppant column was established through laboratory experiments on the stability of the proppant column. …”
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A Survey on High-Order Internal Model Based Iterative Learning Control by Miao Yu, Sheng Chai

“…HOIM can be formulated as a polynomial in the iteration domain, which is auto-regressive. HOIM-based ILC for nonlinear systems is more complex than HOIM-based ILC for linear systems, and when the system parameters change iteratively, the Lyapunov-based analysis method is used instead of traditional contraction mapping method. …”
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A Customized Deep Neural Network Approach to Investigate Travel Mode Choice with Interpretable Utility Information by Zhengchao Zhang, Congyuan Ji, Yineng Wang, Yanni Yang

“…However, deep neural networks (DNNs), owing to their powerful capacity of nonlinear fitting, are now rapidly replacing these models. …”
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Effects of Outlets on Cracking Risk and Integral Stability of Super-High Arch Dams by Peng Lin, Hongyuan Liu, Qingbin Li, Hang Hu

“…In this paper, case study on outlet cracking is first conducted for the Goupitan and Xiaowan arch dams. A nonlinear FEM method is then implemented to study effects of the outlets on integral stability of the Xiluodu arch dam under two loading conditions, i.e., normal loading and overloading conditions. …”
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Hypersthetic reactions and actual self-perception students at the stage of self-isolation during the COVID-19 pandemic by M. M. Basimov, N. A. Tsvetkova

“…Attention was drawn to the fact that the Pearson correlation analysis did not show a connection between hypersthetic reactions and self-perception - they were identified using the method of statistical relationships research within the framework of the synergetic approach and the nonlinear psychology of M.M. Basimov.…”
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