Finite-Time Synchronizing Control for Chaotic Neural Networks by Chao Zhang, Qiang Guo, Jing Wang

“…A simple high-gain observer is designed to track all the nonlinearities, unknown system functions, and disturbances. …”
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Modeling transcriptional co-regulation of mammalian circadian clock by Yanqin Wang, Xin Ni, Jie Yan, Ling Yang

“…In this paper, a scalar nonlinear differential equation with two delays, modeling the transcriptional co-regulation in mammalian circadian clock, is proposed and analyzed. …”
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FUZZY LOGIC CONTROLLER IMPLEMENTATION FOR PHOTOVOLTAIC STATION by Imad Zein, Yu. N. Petrenko

“…Solar panels have a nonlinear voltage-current characteristic, with a distinct maximum power point (MPP), which depends on the environmental factors, such as temperature and irradiation. …”
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$R_0$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission by Toshikazu Kuniya, Mimmo Iannelli

“…We show that the spectral radius of the Fréchet derivative of a nonlinear integral operator plays the role of a threshold value for the global behavior of the model, that is, if the value is less than unity, then the disease-free steady state of the model is globally asymptotically stable, while if the value is greater than unity, then the model has a unique globally asymptotically stable endemic (nontrivial) periodic solution. …”
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Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method by Berna Bülbül, Mehmet Sezer

“…Duffing equation and conditions are transformed into the matrix equations, which corresponds to a system of nonlinear algebraic equations with the unknown coefficients, via collocation points. …”
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On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination by Stanislas Ouaro, Ali Traoré

“…We study a vector-borne disease with age of vaccination. A nonlinear incidence rate including mass action and saturating incidence as special cases is considered. …”
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On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems by El-Sayed M. E. Mostafa, Abdallah W. Aboutahoun, Fatma F. S. Omar

“…The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution. …”
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New Qualitative Results for Solutions of Functional Differential Equations of Second Order by Cemil Tunç, Sultan Erdur

“…In this paper, we are concerned with the existence of periodic solutions, stability of zero solution, asymptotic stability of zero solution, square integrability of the first derivative of solutions, and boundedness of solutions of nonlinear functional differential equations of second order by the second method of Lyapunov. …”
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Solutions of the Force-Free Duffing-van der Pol Oscillator Equation by Najeeb Alam Khan, Muhammad Jamil, Syed Anwar Ali, Nadeem Alam Khan

“…A new approximate method for solving the nonlinear Duffing-van der pol oscillator equation is proposed. …”
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations by Yunfei Li, Shoufu Li

“…The methods and theories presented in this paper are applicable to nonneutral, nonstiff, and nonlinear initial value problems in ODEs, Volterra delay differential equations (VDDEs), Volterra integro-differential equations (VIDEs), Volterra delay integro-differential equations (VDIDEs), etc. …”
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Robust Adaptive Fractional Fast Terminal Sliding Mode Controller for Microgyroscope by Juntao Fei, Zhe Wang, Xiao Liang

“…Adaptive algorithm is applied to estimate the damping and stiffness coefficients, angular velocity, and the upper bound of the lumped nonlinearities. Numerical simulations are presented to exhibit the validity of the proposed method, and the comparison with the other two methods illustrates its superiority.…”
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Transponder Designs for Harmonic Radar Applications by Kimmo Rasilainen, Ville V. Viikari

“…In harmonic radar, the tag is called a harmonic transponder and the necessary frequency multiplication is implemented using a nonlinear element, such as a Schottky diode. Different applications and operating frequencies of harmonic transponders are presented, along with various tag design aspects. …”
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EVIDENCE OF TIME-VARYING HERDING BEHAVIOR FROM THE VIETNAMESE STOCK MARKET by Đoàn Anh Tuấn, Hoàng Mai Phương

“…The study also highlights important policy implications that can help to reduce investors’ complicated nonlinear reactions in the Vietnamese Stock market.…”
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Finite-Time Consensus with a Time-Varying Reference State and Switching Topology by Jian-Yong Wang, Zhen Tian, Xu Zhu, Naif D. Alotaibi

“…In order to resolve this problem, a novel nonlinear information exchange protocol is proposed. …”
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Research on reachable set boundary of neutral system with various types of disturbances. by Dongmei Xia, Kaiyuan Chen, Lin Sun

“…The investigation notably addresses the challenges posed by time-varying delays, applying Lyapunov's direct method alongside advanced matrix inequality techniques to identify minimized and more accurate ellipsoidal boundaries of the RS in NTSs influenced by bounded and nonlinear disturbances. Our findings, verified through numerical simulations and comparisons with existing literature, demonstrate enhanced control and management capabilities for complex systems, thus underscoring the substantial theoretical and practical value of incorporating delay elements in NTSs.…”
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A Graph Embedding Method Based on Sparse Representation for Wireless Sensor Network Localization by Xiaoyong Yan, Aiguo Song, Hao Yan

“…Therefore, the algorithm can effectively solve the nonlinear problem while ranging, and it becomes less affected by the measuring error and beacon nodes quantity.…”
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Flux Transport Characteristics of Free Boundary Value Problems for a Class of Generalized Convection-Diffusion Equation by Yunbin Xu, Meihua Wei

“…A class of singular nonlinear boundary value problems are obtained and solved by using Adomian decomposition method (ADM). …”
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Localization of Energy-Momentum for a Black Hole Spacetime Geometry with Constant Topological Euler Density by Irina Radinschi, Theophanes Grammenos, Farook Rahaman, Andromahi Spanou, Marius Mihai Cazacu, Surajit Chattopadhyay, Antonio Pasqua

“…This black hole solution was recently developed in the context of the coupled Einstein–nonlinear electrodynamics of the Born-Infeld type. …”
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Relative Displacement Method for Track-Structure Interaction by Frank Schanack, Óscar Ramón Ramos, Juan Patricio Reyes, Marcos J. Pantaleón

“…The track-structure interaction effects are usually analysed with conventional FEM programs, where it is difficult to implement the complex track-structure connection behaviour, which is nonlinear, elastic-plastic and depends on the vertical load. …”
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A Mixed Traffic Assignment Problem and Its Upper Bound of Efficiency Loss by Xiao-Jun Yu, Jiancheng Long

“…The users governed by the UE player use the paths with minimum actual travel cost, while the users governed by altruistic players use the paths with minimum perceived travel cost, which is a linear combination of the actual and marginal travel costs. A nonlinear programming method is adopted to derive the efficiency loss of the UE-AP mixed equilibrium with polynomial cost function. …”
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