MATHEMATICAL MODELLING OF THE UNMANNED AERIAL VEHICLE DYNAMICS by V. Y. Stepanov

“…Further, the UAV is considered in more detail from the point of view of its flight dynamics analysis, the equation necessary for creating a mathematical model, as well as the model of an ordinary dynamic system as a non-stationary nonlinear controlled object, is given. …”
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Hybrid quantum-classical control problems by Emanuel-Cristian Boghiu, Jesús Clemente-Gallardo, Jorge A. Jover-Galtier, David Martínez-Crespo

“…The notion of hybrid quantum-classical control system was introduced as a control dynamical system which combined classical and quantum degrees of freedom. …”
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Chaos Control and Synchronization in Fractional-Order Lorenz-Like System by Sachin Bhalekar

“…The present paper deals with fractional-order version of a dynamical system introduced by Chongxin et al. (2006). …”
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Vibrations of Plates and Shells with Attached Mass by L. U. Sultanov, I. R. Garifullin

“…The transition from the initial dynamic system to the solution of the final system of nonlinear ordinary differential equations was achieved by the Bubnov–Galerkin method. …”
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STATUS EKOSISTEM PESISIR BAGI PERENCANAAN TATA RUANG WILAYAH PESISIR DI KAWASAN TELUK AMBON by YULIA Asyiawati, FREDINAN YULIANDA, ROKHMIN DAHURI, SANTUN R.P. SITORUS, SETYO BUDI SUSILO

“…To reduce the pollutant into the waters, planned buffer zones (coastal and riverine border for 11,69% of land area), which serves to absorb pollutants and protect the inland waters of the tidal influence, while still controlling the waste coming into water By using dynamic systems analysis, created the scenario of land use planning in Ambon Bay Area that integrates land and wet land. …”
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Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis by Hang Zheng, Yonghui Xia, Yuzhen Bai, Guo Lei

“…In this paper, based on the dynamical system method, we obtain the exact parametric expressions of the travelling wave solutions of the Wu–Zhang system. …”
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Design of a Dynamic Simulator for a Biped Robot by Diego A. Bravo M, Carlos F. Rengifo Rodas

“…Simulation is a virtual representation of a dynamic system. For the case of mechanical systems, the simulator is used to calculate the reaction forces between its base and the ground and other constraints. …”
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Pour une grille de lecture scientifique des sites web par les géographes by Henry Bakis, Sabrina Marchandise, Joy Raynaud, Jérémie Valentin

“…By a consistent and rigorous analysis of websites, this methodological grid will thus improve the understanding of a dynamic system of actors, territories and networks in research.…”
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Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation by C. Z. Qian, C. P. Chen, G. W. Zhou

“…Despite the parameters analysis, the bifurcation characters of the dynamical system are studied. At last, by means of numerical method and software MATHMATIC, the effect rules of system parameters to the dynamical behavior of the system are studied, and some useful conclusions are obtained.…”
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Dynamical Analysis for the Hybrid Network Model of Delayed Predator-Prey Gompertz Systems with Impulsive Diffusion between Two Patches by Li Xiang, Yurong Zhang, Dan Zhang, Zhichun Yang, Lingzhi Huang

“…Using the discrete dynamical system determined by the stroboscopic map which has a globally stable positive fixed point, we obtain the global attractive condition of predator-extinction periodic solution for the network system. …”
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King-Type Derivative-Free Iterative Families: Real and Memory Dynamics by F. I. Chicharro, A. Cordero, J. R. Torregrosa, M. P. Vassileva

“…Moreover, in order to study the real behavior of the parametric class with memory, we associate it with a discrete multidimensional dynamical system. By analyzing the fixed and critical points of its vectorial rational function, we can select those methods with best stability properties.…”
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Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability by Manuel De la Sen, Asier Ibeas

“…Some applications are also given to the important problem of global stability of a class of extended nonlinear polytopic-type parameterizations of certain dynamic systems.…”
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Analysis of the Dynamics of a $\phi^{6}$ Duffing Type Jerk System by Ulises Uriostegui-legorreta, Eduardo Salvador Tututi-hernández, Alejandro Bucio

“…The Jerk is transformed into a dynamical system of dimension three. The dynamics and stability of the resulting system are analyzed, through phase space, bifurcation diagrams and Lyapunov exponents by varying the relevant parameters, finding the existence of a strange attractor. …”
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Analyzing Similarity Solution of Modified Fisher Equation by Esen Hanaç Duruk, Mehmet Emir Koksal, Ram Jiwari

“…The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space analysis of its stable points. …”
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Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force by M.L. Hounvènou, Vincent Adjimon Monwanou

“…We performed a truncated expansion of Galerkin and found the Lorenz-type model which described the system. The dynamical system is characterized using appropriate and subsequent criteria. …”
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Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach by Ruiping Xu, Zhen Liu, Cunchen Gao, Huimin Xiao

“…By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. …”
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Advanced Fractional Mathematics, Fractional Calculus, Algorithms and Artificial Intelligence with Applications in Complex Chaotic Systems by Dumitru Baleanu, Yeliz Karaca

“…Chaos, comprehended characteristically, is the mathematical property of a dynamical system which is a deterministic mathematical model in which time can be either continuous or discrete as a variable. …”
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A theoretic control approach in signal-controlled metabolic pathways by Ramesh Garimella, Uma Garimella, Weijiu Liu

“…Controllability and observabilityare structural properties of a dynamical system. Thus our resultsmay explain why the metabolic pathways can be controlled andregulated. …”
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Differences and Similarities: Variability and Fractality in CDST by Zhizi Chen

“… Variability and fractality, two key concepts in Complex Dynamic Systems Theory (CDST)—the former concerning changes and variations, and the latter concerning recursiveness and self-similarities—may seem contradictory at first glance. …”
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Chaotic Dynamics Analysis Based on Financial Time Series by Zheng Gu, Yuhua Xu

“…Firstly, the nonlinear characteristics of the data are discussed through the empirical analysis of agriculture index data; the daily agriculture index returns can be decomposed into the different scales based on wavelet analysis. Secondly, the dynamic system of some nonlinear characteristic data is established according to the Taylor series expansion form, and the corresponding dynamic characteristics are analyzed. …”
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