Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems by Min Wu, Zhengfeng Yang, Wang Lin

“…We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems. A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently. …”
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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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Solving Hyperchaotic Systems Using the Spectral Relaxation Method by S. S. Motsa, P. G. Dlamini, M. Khumalo

“…A new multistage numerical method based on blending a Gauss-Siedel relaxation method and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting hyperchaotic behavior, is presented. …”
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Syntheses of differential games and pseudo-Riccati equations by Yuncheng You

“…For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution P(t,x). …”
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Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. …”
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Rate Estimation of Identical Synchronization by Designing Controllers by Mitul Islam, Bipul Islam, Nurul Islam

“…This paper investigates the synchronization rate for identical synchronization of chaotic dynamical systems, achieved by using controllers. The paper stresses on the hybrid feedback control technique and the tracking control technique and determines their corresponding maximum, minimum, and average synchronization rates. …”
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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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Attractor and Vector Structure Analyses of Bursting Oscillation with Sliding Bifurcation in Filippov Systems by Rui Qu, Shaolong Li

“…The main purpose of this paper is to investigate the mechanism of sliding phenomenon in Filippov (nonsmooth) dynamical systems by attractor analysis and vector analysis. …”
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Solutions to All-Colors Problem on Graph Cellular Automata by Xiaoyan Zhang, Chao Wang

“…The All-Ones Problem comes from the theory of σ+-automata, which is related to graph dynamical systems as well as the Odd Set Problem in linear decoding. …”
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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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New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation by XiaoHua Liu, CaiXia He

“…By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained. …”
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Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation by Zhengyong Ouyang

“…We use bifurcation method of dynamical systems to study exact traveling wave solutions of a nonlinear evolution equation. …”
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An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game by Ikjyot Singh Kohli, Michael C. Haslam

“…We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. …”
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The Existence of Cone Critical Point and Common Fixed Point with Applications by Wei-Shih Du

“…We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem. …”
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Dynamic fair allocation of multi-resources based on shared resource quantity by Xiao-lu ZHANG, Xi LIU, Wei-dong LI, Xue-jie ZHANG

“…Finally, theoretical analysis and experiments demonstrate that this strategy can satisfy the demands as well as maximize the dominant share on the base of approaching fairness and the im-proved algorithm increases the allocation efficiency in the dynamic system.…”
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Active stabilization of a chaotic urban system by Günter Haag, Tilo Hagel, Timm Sigg

“…A new method to stabilize dynamical systems by forcing the system variables into the desired unstable stationary point is proposed. …”
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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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Motion Control Modeling and Simulation of the Thruster Mechanism of a Boring Machine by Wang Shuanghua, Wang Jianwei

“…The thruster mechanism of which two neighboring thruster cylinders are wedge-shape arranged is a redundant driving multi-DOF parallel mechanism.It is very complex to control its motion due to the complexity of the mechanism and the coupling between the driving rods,so a method of establishing inverse kinematics model of the thruster mechanism and graphical model with the SimMechanics in the environment of Simulink diagram design in MATLAB is presented and then connect them by controller.The trajectory tracking control of parallel mechanism is realized and this method is intuition and convenience.A foundation for the precious control of thruster mechanism is laid and it is provide convenience for establishing simulation models of other multi-body dynamic system.…”
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