IMU Optimal Rotation Rates by Patrick Grates

Get full text

Integrating Sensor Technologies with Conversational AI: Enhancing Context-Sensitive Interaction Through Real-Time Data Fusion by Joseph C. Kush

“…Lastly, this article delves into the scientific principles supporting sensor technologies, data processing methods, and their fusion with generative models such as ChatGPT to develop adaptable, dynamic systems that engage with humans intelligently in real time. …”
Get full text

Dynamics Analysis and Intermittent Energy Feedback Control of m-HR Neuron Model under Electromagnetic Induction by Jiankui Peng, Suoping Li

“…Meanwhile, it should be emphasized that the intermittent control scheme has a wider range of regulation and robustness, which can be applied to other dynamical systems to obtain the desired oscillation modes. …”
Get full text

GOLD VALUE WITH TRADABLE AND NON-TRADABLE GOODS IN A MULTI-COUNTRY GROWTH MODEL WITH FREE TRADE by Wei-Bin Zhang

“…We simulate the model to demonstrate the existence of an equilibrium point, motion of the dynamic system, and (local) stability of the equilibrium point. …”
Get full text

GOLD VALUE WITH TRADABLE AND NON-TRADABLE GOODS IN A MULTI-COUNTRY GROWTH MODEL WITH FREE TRADE by Wei-Bin Zhang

“…We simulate the model to demonstrate the existence of an equilibrium point, motion of the dynamic system, and (local) stability of the equilibrium point. …”
Get full text

Recurrences Reveal Shared Causal Drivers of Complex Time Series by William Gilpin

“…Combining the theory of skew-product dynamical systems with topological data analysis, we show that simultaneous recurrence events across multiple time series reveal the structure of their shared unobserved driving signal. …”
Get full text

Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systems by Mauricio J. del Razo, Luigi Delle Site

“…As a result of the analysis on the underlying common structure of these models, we propose a unifying master equation for general dynamical systems with varying number of particles. This equation embeds all the previous models and can potentially model a much larger range of complex systems, ranging from molecular to social agent-based dynamics.…”
Get full text

Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt by S. P. Chen, Y. H. Qian

“…The improved method is described in detail by analyzing the four-dimensional nonlinear dynamical systems whose Jacobian matrices evaluated at an equilibrium point contain three different cases, that are, (i) two pairs of pure imaginary eigenvalues, (ii) one nonsemisimple double zero and a pair of pure imaginary eigenvalues, and (iii) two nonsemisimple double zero eigenvalues. …”
Get full text

The Use of Statistical Tests to Calibrate the Black-Scholes Asset Dynamics Model Applied to Pricing Options with Uncertain Volatility by Lorella Fatone, Francesca Mariani, Maria Cristina Recchioni, Francesco Zirilli

“…The method proposed here for calibrating the Black-Scholes dynamics model could be extended to other science and engineering models that may be expressed in terms of stochastic dynamical systems.…”
Get full text

A Fully Operational Framework for Handling Cellular Automata Templates by Mauricio Verardo, Pedro P. B. de Oliveira

“…Cellular automata are fully discrete, computational, or dynamical systems, characterised by a local, totally decentralised action. …”
Get full text

Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces by Kazimierz Włodarczyk, Robert Plebaniak

“…One of the main key ideas in this paper is the application of our fixed point and endpoint version of Caristi type theorem for dissipative set-valued dynamic systems without lower semicontinuous entropies in uniform spaces with structures determined by J-families. …”
Get full text

Nonlinear Dynamics Induced by Coil Heat in the PMDC Motor and Control by André Cheukem, Alex Stéphane Kemnang Tsafack, Arnaud Ngonting Topy, Justin Roger Mboupda Pone

“…By using simple powerful tools of analyzing nonlinear dynamical systems like phase portraits, time traces and frequency spectrum in the MATLAB-SIMULINK environment, we showed that under certain conditions, the PMDC motor develops different behaviors so as periodic limited, and chaotic attractors, when the motor drive different form of external load torque and the windings resistance variation. …”
Get full text

An Applicable Control-Relevant Method for Nonlinearity Assessment using Gap Metric by Mahdi Ahmadi

“…In this paper, an applicable control-relevant nonlinearity assessment method is proposed for nonlinear dynamic systems. In this method, nonlinear system is decomposed to a bank of linear systems using gap metric, a smart tool for measuring the distance between two linear systems. …”
Get full text

Nonlinear Vibrations of FGM Cylindrical Panel with Simply Supported Edges in Air Flow by Y. X. Hao, W. Zhang, S. B. Li, J. H. Zhang

“…Here, Galerkin’s method is employed to discretize this continuous nonlinear dynamic system to ordinary differential governing equations involving two degrees of freedom. …”
Get full text

Optical wave features and sensitivity analysis of a coupled fractional integrable system by Jan Muhammad, Usman Younas, D.K. Almutairi, Aziz Khan, Thabet Abdeljawad

“…The study of the dynamical systems governing the propagation of soliton waves across transcontinental and transoceanic distances through optical fibers is among the most intriguing fields of research. …”
Get full text

THE METHODOLOGICAL POTENTIAL OF INDUSTRIAL PRODUCTION AS THE BASIS OF PROFESSIONAL TRAINING OF FUTURE SPECIALISTS by Evgeny A. Korchagin, Rais S. Safin

“…The fundamental difference between training and production process from the conventional one, is that knowledge, skills, and competences are formed within the context of development of a complex and dynamic system of professional activity and thinking of the specialist. …”
Get full text

A comprehensive literature review of fuzzy differential equations with applications by Kamal Hossain Gazi, Aditi Biswas, Payal Singh, Mostafijur Rahaman, Suman Maity, Animesh Mahata, Sankar Prasad Mondal

“…Physical dynamical systems can be described through mathematical models using the theory of differential equations. …”
Get full text

Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay by Muhammad Shamrooz Aslam, Xisheng Dai

“…The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. …”
Get full text

Analysis on Multistable Motion Characteristics of Supercavitating Vehicle by Tianhong Xiong, Yipin Lv, Wenjun Yi

“…The results demonstrated that, unlike the ordinary dynamic systems, a supercavitating vehicle demonstrates multistable phenomena, such as the coexistence of the stable equilibrium point and the limit cycle and the coexistence of the limit cycle and the chaotic attractor, along with the coexistence of diversified limit cycles; under fixed system parameters, as the initial condition of launching varied, the vehicle displayed various motion states; in engineering practices, the initial condition of launching could be adjusted according to the domain of attraction, in order for the vehicle motion stability to be enhanced.…”
Get full text

Ecosystem changes after Early Cretaceous seawater intrusion into the proto-South Atlantic Ocean by Jian Ma, Leonardo F. Cury, Anelize M. B. Rumbelsperger, Heidi L. Albrecht, Erwin W. Adams, Joachim E. Amthor, Xingqian Cui, Antoine Crémière, Kei Sato, Kristin D. Bergmann, Roger E. Summons

“…Importantly, the sulfur-sequestered biomarkers reveal a dynamic system where redox-stratified and anoxic conditions were amplified along with a deepening chemocline through the marine transition.…”
Get full text