Gravitational Algebras and Applications to Nonequilibrium Physics by Michele Cirafici

“…Additionally, we provide a brief overview of the theory of nonequilibrium dynamical systems in finite dimensions and discuss its generalization to gravitational algebras. …”
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Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems by Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz

“…The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. …”
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Moment Lyapunov exponent of delay differential equations by M. S. Fofana

“…The aim of this paper is to establish a connecting thread through the probabilistic concepts of pth-moment Lyapunov exponents, the integral averaging method, and Hale's reduction approach for delay dynamical systems. We demonstrate this connection by studying the stability of perturbed deterministic and stochastic differential equations with fixed time delays in the displacement and derivative functions. …”
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A chaotic bursting-spiking transition in a pancreatic beta-cells system: observation of an interior glucose-induced crisis by Jorge Duarte, Cristina Januário, Nuno Martins

“…This study provides an illustration of how an integrated approach, involving numerical evidences and theoretical reasoning within the theory of dynamical systems, can directly enhance our understanding of biophysically motivated models.…”
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Physiologically Based Structure of Mean Residence Time by Mária Durišová

“…Therefore, tools from the theory of linear dynamic systems were used for the structural identification of MRT in this study. …”
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The Gauge Integral Theory in HOL4 by Zhiping Shi, Weiqing Gu, Xiaojuan Li, Yong Guan, Shiwei Ye, Jie Zhang, Hongxing Wei

“…The integral is one of the most important foundations for modeling dynamical systems. The gauge integral is a generalization of the Riemann integral and the Lebesgue integral and applies to a much wider class of functions. …”
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Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise by Zaitang Huang

“…Little seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. …”
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A Note on the Observability of Temporal Boolean Control Network by Wenping Shi, Bo Wu, Jing Han

“…Using the semi tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems with time delays. Then, necessary and sufficient conditions on the observability via two kinds of inputs are obtained. …”
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Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System by Tianyong Han, Jiajin Wen, Zhao Li

“…On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. …”
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Solvency Evaluation Model of Insurance Company Based on Stochastic Differential Equation by Kai Wang, Ling Zhu

“…In this paper, from the perspective of capital flow, the insurance company’s capital flow is regarded as a dynamic system, the stochastic differential equations model is established to describe its flow characteristics, and the existence of positive equilibrium point of the system is proved, as well as the conditions of stability at equilibrium point, that is, the requirements of the insurance company’s solvency. …”
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A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results by Yan Zhao, Weiguo Zhang

“…By the theory and method of planar dynamical systems, existence conditions and number of bounded traveling wave solutions including damped oscillatory solutions are obtained. …”
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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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