A Compact and Fast Resonant Cavity-Based Encoder in Photonic Crystal Platform by Mohammad Soroosh, Faris K. AL-Shammri, Mohammad Javad Maleki, Venkatachalam Rajarajan Balaji, Ehsan Adibnia

“…A novel 4-to-2 photonic crystal encoder is proposed by modulating the intensity of four input optical signals, and four distinct output states are achieved. Nonlinear rods are employed to couple input waves into resonant cavities, directing the light to the desired output waveguides. …”
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An Empirical Study on Listed Company’s Value of Cash Holdings: An Information Asymmetry Perspective by Chuangxia Huang, Xin Ma, Qiujun Lan

“…We find that a company’s value of cash holdings decreases increasingly with its level of information asymmetry, and the relationship between information asymmetry and the value of cash holdings is nonlinear.…”
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A Moving Frame Trajectory Tracking Method of a Flying-Wing UAV Using the Differential Geometry by Yi Zhu, Xin Chen, Chuntao Li

“…Then, the devised tracking method on the basis of the dynamic equations is tested in a complete flight control system with 6 DOF nonlinear equations of the UAV. The simulation result shows a satisfactory trajectory tracking performance so that the effectiveness and efficiency of the devised tracking method is proved.…”
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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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Cascade Delayed Controller Design for a Class of Underactuated Systems by G. Ochoa-Ortega, R. Villafuerte-Segura, A. Luviano-Juárez, M. Ramírez-Neria, N. Lozada-Castillo

“…In this paper, a delayed control strategy for a class of nonlinear underactuated fourth-order systems is developed. …”
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A Torus-Chaotic System and Its Pseudorandom Properties by Jizhao Liu, Xiangzi Zhang, Qingchun Zhao, Jing Lian, Fangjun Huang, Yide Ma

“…Exploring and investigating new chaotic systems is a popular topic in nonlinear science. Although numerous chaotic systems have been introduced in the literature, few of them focus on torus-chaotic system. …”
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A quadratic $$\nu $$ ν -support vector regression approach for load forecasting by Yanhe Jia, Shuaiguang Zhou, Yiwen Wang, Fengming Lin, Zheming Gao

“…The proposed model produces a reduced quadratic surface for nonlinear regression. A feature weighting strategy is adopted to estimate the relevance of the features in the load history. …”
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The Effect of High-Frequency Parametric Excitation on a Stochastically Driven Pantograph-Catenary System by R. H. Huan, W. Q. Zhu, F. Ma, Z. H. Liu

“…A single-degree-of-freedom model of the pantograph-catenary system is adopted, wherein the stiffness of the nonlinear spring has a time-varying component characterized by both low and high frequencies. …”
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Operational Risk Aggregation Based on Business Line Dependence: A Mutual Information Approach by Wenzhou Wang, Limeng Shi, Xiaoqian Zhu

“…Based on mutual information, the generalized correlation coefficient which can capture both linear and nonlinear correlation can be derived. This paper models the correlation between business lines by mutual information and normal copula. …”
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Analysis and Verification of Compound SRFPI-LADRC Strategy for an Off-Grid Single-Phase Inverter by Liaoyuan Lin, Haoda Li, Kai Zhu, Lingling Shi, Ping Li

“…The results show that the system achieves a small steady-state error, voltage tracking error, fast transient response, and low total harmonic distortion (THD) when feeding a highly nonlinear load.…”
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Optimal Portfolio Selection of Mean-Variance Utility with Stochastic Interest Rate by Shuang Li, Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

“…By solving the corresponding nonlinear partial differential equations (PDEs) deduced from the extended HJB equation, the analytical solutions of the optimal investment strategies under time inconsistency are derived. …”
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation by Xiaoli Qiang, Kamran, Abid Mahboob, Yu-Ming Chu

“…We propose two numerical methods for approximating the solution of fractional-order linear and nonlinear Volterra integrodifferential equations. In our scheme, the inverse Laplace transform is approximated using a contour integration method and Stehfest method. …”
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On Parametric Gevrey Asymptotics for Some Cauchy Problems in Quasiperiodic Function Spaces by A. Lastra, S. Malek

“…We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with 2π-periodic coefficients, for initial data living in a space of quasiperiodic functions. …”
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Set-Membership Estimation for Complex Networks Under FlexRay Protocol Based on the Proportional-Integral Observer With Probability Constraint by Chaochen Wang, Miaomiao Shi

“…This paper explores the design of proportional-integral observer (PIO) for a type of time-varying stochastic nonlinear complex networks in which the network dynamics are corrupted by the unknown but bounded noises. …”
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Fractional-Order Control of a Micrometric Linear Axis by Luca Bruzzone, Pietro Fanghella

“…The experimental results are coherent with the nonlinear model of the controlled system and confirm that the introduction of the half-derivative term is an interesting option for reducing the tracking error in the transient state.…”
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A Vieta–Lucas collocation and non-standard finite difference technique for solving space-time fractional-order Fisher equation by Mohd Kashif

“…By using the properties of Vieta–Lucas polynomials, this technique reduces the nonlinear equations into a system of ordinary differential equations (ODEs). …”
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Adaptive Terminal Sliding Mode NDO-Based Control of Underactuated AUV in Vertical Plane by Wei Chen, Yanhui Wei, Jianhui Zeng, Han Han, Xianqiang Jia

“…Considering the complicated dynamics and kinematics model for underactuated AUV, a more simplified model is obtained based on assumptions. Then a nonlinear disturbance observer (NDO) is presented to estimate the external disturbance acting on AUV, and an adaptive terminal sliding mode control (ATSMC) based on NDO is applied to enhance the depth tracking performance of underactuated AUV considering both internal and external disturbance. …”
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Self-Organizing Adaptive Wavelet Backstepping Control Research for AC Servo System by Run-min Hou, Yuan-long Hou, Qiang Gao, Chao Wang

“…A novel self-organizing adaptive wavelet cerebellar model articulation controller backstepping (SOWCB) control is proposed, aiming at some nonlinear and uncertain factors that caused difficulties in controlling the AC servo system. …”
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Free Vibration and Hardening Behavior of Truss Core Sandwich Beam by J. E. Chen, W. Zhang, M. Sun, M. H. Yao

“…The dynamic characteristics of simply supported pyramidal truss core sandwich beam are investigated. The nonlinear governing equation of motion for the beam is obtained by using a Zig-Zag theory. …”
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Neutrosophic Number Optimization Models and Their Application in the Practical Production Process by Angyan Tu, Jun Ye, Bing Wang

“…Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. …”
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