Nonlinear connectedness of conventional crypto-assets and sustainable crypto-assets with climate change: A complex systems modelling approach. by Mushtaq Hussain Khan, Shreya Macherla, Angesh Anupam

“…For the first time, this study aims to provide a data-driven Nonlinear System Identification technique to study the nonlinear connectedness of crypto-assets with CO2 emissions. …”
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Implementing the Galerkin Method Associated with the Shifted Vieta-Lucas Polynomials for Studying Numerically the Bionanofluid Flow Which Is Saturated by Gyrotactic Microorganisms... by M. M. Khader, M. M. Babatin, Ahmed M. Megahed, A. Eid

“…The shifted Vieta-Lucas polynomials are then used as basis functions on the provided domain to solve the nonlinear system of ordinary differential equations that has been constructed (ODEs). …”
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A New Nonlinear Chaotic Complex Model and Its Complex Antilag Synchronization by Emad E. Mahmoud, Fatimah S. Abood

“…Also, another sort of synchronization is presented by us which is simple for anybody to ponder for the chaotic complex nonlinear system. This sort might be called a complex antilag synchronization (CALS). …”
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Compartmental Models Driven by Renewal Processes: Survival Analysis and Applications to SVIS Epidemic Models by Divine Wanduku, Md Mahmud Hasan

“…The novel SVIS model is formulated as a non-autonomous nonlinear system (NANLS) of ordinary differential equations (ODEs), with coefficients defined by HRFs. …”
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Unsteady Electrohydrodynamic Stagnation Point Flow of Hybrid Nanofluid Past a Convective Heated Stretch/Shrink Sheet by Muhammad Jawad, Rashid Jan, Salah Boulaaras, Ibni Amin, Niaz Ali Shah, Sahar Ahmed Idris

“…HAM is applied for the solution to the obtained nonlinear system. The magnetic input factor, Prandtl number, electric field factor, Eckert number, heat source factor, and unstable factor are the governing parameters. …”
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Analysis of the Control Strategy of Non-linear Torsional Vibration in the Main Driving System of Cold Rolling Mill by He Yongling, Liao Binjie

“…Based on Hopf bifurcation theory,a nonlinear state feedback controller is constructed. Aiming at the nonlinear system,the Hopf bifurcation control method is proposed to enlarge the stable region,change the behavior of the bifurcation point and reduce the limit amplitude. …”
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Synchronous Stability of Four Homodromy Vibrators in a Vibrating System with Double Resonant Types by Xueliang Zhang, Chao Li, Zhihui Wang, Shiju Cui

“…It is shown that the phase differences among four vibrators in the subresonant state are stabilized about zero, and exciting forces of four vibrators are positively superposed, while in the superresonant one, the phenomenon of the diversity of the nonlinear system occurs, i.e., two groups of synchronous and stable solutions of the phase differences (pi and pi/2) are found, and in this case, the exciting forces of four vibrators are counteracted, the rigid frame embodies no vibration, and the minimum of dynamic load transferring to foundation is realized. …”
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On Behavioral Response of Microstructural Slip on the Development of Magnetohydrodynamic Micropolar Boundary Layer Flow by Raja Mehmood Khan, Waqas Ashraf, Muhammad Sohail, Shao-Wen Yao, Wael Al-Kouz

“…The flow is modeled by a set of PDEs which are transformed to a nonlinear system of ODEs by employing boundary layer transformations. …”
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Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions by M. Mohammadi, A. R. Vahidi, T. Damercheli, S. Khezerloo

“…The main goal of the presented technique is to transform these problems into a nonlinear system of algebraic equations using the operational matrix obtained from the integration, which can be solved by a proper numerical method; thus, the solution procedures are either reduced or simplified accordingly. …”
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Optimal Control of Endemic Epidemic Diseases With Behavioral Response by Francesco Parino, Lorenzo Zino, Alessandro Rizzo

“…In particular, we propose a parsimonious model that couples an epidemic compartmental model with a population game that captures the behavioral response, obtaining a nonlinear system of ordinary differential equations. Grounded on prevalence-elastic behavior—the empirically proven assumption that the disease prevalence affects the adherence to self-protective behavior—we consider a nontrivial negative feedback between contagions and adoption of self-protective behavior. …”
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Asymptotically stable data-driven koopman operator approximation with inputs using total extended DMD by Louis Lortie, James Richard Forbes

“…The Koopman operator framework can be used to identify a data-driven model of a nonlinear system. Unfortunately, when the data is corrupted by noise, the identified model can be biased. …”
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A Speed Control Method for Underwater Vehicle under Hydraulic Flexible Traction by Yin Zhao, Ying-kai Xia, Ying Chen, Guo-Hua Xu

“…Sliding mode variable structure control theory for the nonlinear system allows an improved control effect for movements in “sliding mode” when compared with conventional control. …”
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Towards Human Capture Movement: Estimation of Anatomical Movements of the Shoulder by B. B. Salmerón-Quiroz, C. F. Mendez-Barrios, J. F. Guerrero-Castellanos, S. A. Rodriguez-Paredes, G. Villegas-Medina

“…The originality of this paper is to apply the discrete optimization to track the desired trajectory of a nonlinear system such as the Human Movement in the presence of uncertainties. …”
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Investigation of a Biochemical Model with Recycling in Case of Negative Cooperativity by Svetoslav G. Nikolov, Vassil M. Vassilev, Momchil I. Nenov

“…The objective of this paper is to find new dynamic perspectives in a well-known two dimensional nonlinear system which is a modification of the phosphofructo kinase model by incorporating recycling of the product, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>p</mi></semantics></math></inline-formula>, into the substrate, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>s</mi></semantics></math></inline-formula>. …”
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Prebiotic Geochemical Automata at the Intersection of Radiolytic Chemistry, Physical Complexity, and Systems Biology by Zachary R. Adam, Albert C. Fahrenbach, Betul Kacar, Masashi Aono

“…Connectivity across multiple levels imparts the potential to create and maintain far-from-equilibrium chemical conditions and to manifest nonlinear system behaviors best approximated using automata formalisms. …”
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Control of Magnetic Manipulator Using Reinforcement Learning Based on Incrementally Adapted Local Linear Models by Martin Brablc, Jan Žegklitz, Robert Grepl, Robert Babuška

“…Reinforcement learning (RL) agents can learn to control a nonlinear system without using a model of the system. However, having a model brings benefits, mainly in terms of a reduced number of unsuccessful trials before achieving acceptable control performance. …”
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Improved Grey Particle Swarm Optimization and New Luus-Jaakola Hybrid Algorithm Optimized IMC-PID Controller for Diverse Wing Vibration Systems by Nailu Li, Hua Yang, Anle Mu

“…Diverse wing vibration systems, including linear system, nonlinear system and multiple-input-multiple-output system are considered to verify the effectiveness of proposed method. …”
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Dynamic Response of a Casting Crane Rigid-Flexible Coupling System to High Temperature by Yunsheng Xin, Qing Dong, Qisong Qi, Qinglu Shi

“…System motion equations were established according to the Lagrange equation, and the approximate solution of nonlinear system vibration was solved by the direct integration method (the Newmark method). …”
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SINDy and PD-Based UAV Dynamics Identification for MPC by Bryan S. Guevara, José Varela-Aldás, Daniel C. Gandolfo, Juan M. Toibero

“…Addressing the inherent platform constraints—where control inputs are restricted to specific attitude angles and z-axis velocities—thrust and torque are approximated via a PD controller, which serves as a practical intermediary for facilitating nonlinear system identification. Both methodologies leverage data-driven strategies to construct compact and interpretable models from experimental data, capturing significant nonlinearities with high fidelity. …”
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A Modified RBF Neuro-Sliding Mode Control Technique for a Grid Connected PMSG Based Variable Speed Wind Energy Conversion System by Rostand Marc Douanla, Godpromesse Kenné, François Béceau Pelap, Armel Simo Fotso

“…The proposed control method does not need the knowledge of the uncertainty bounds nor the exact model of the nonlinear system. Since the neural network is trained online, the time to estimate good weights can affect the dynamic performance of the process during the startup phase. …”
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