Dynamical systems of modified Gauss–Bonnet gravity: cosmological implications by Ashutosh Singh

“…Abstract In this paper, we derive the field equations of modified Gauss–Bonnet gravity termed as f(R, G) gravity for the non-flat Friedmann–Robertson–Walker (FRW) spacetime. We utilize the dynamical system approach to study the cosmic dynamics of two different class of f(R, G) models composed of radiation and matter (cold dark matter and baryonic matter). …”
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Weather and Climate Manipulation as an Optimal Control for Adaptive Dynamical Systems by Sergei A. Soldatenko

“…The weather and climate manipulation is examined as an optimal control problem for the earth climate system, which is considered as a complex adaptive dynamical system. Weather and climate manipulations are actually amorphous operations. …”
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Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems by Juan A. Aledo, Luis G. Diaz, Silvia Martinez, Jose C. Valverde

“…In particular, we solve algebraically such problems in sequential dynamical systems on maxterm and minterm Boolean functions. …”
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Structure Properties of Koch Networks Based on Networks Dynamical Systems by Yinhu Zhai, Jia-Bao Liu, Shaohui Wang

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Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows by Codruţa Stoica

“…Hence, we intend to construct a framework for an asymptotic approach of these properties for discrete dynamical systems using the associated skew-evolution semiflows. …”
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Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems by Koon Sang Wong, Zabidin Salleh

“…We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. …”
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Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups by Masatomo Iwasa

“…Lie group analysis has been applied to singular perturbation problems in both ordinary differential and difference equations and has allowed us to find the reduced dynamics describing the asymptotic behavior of the dynamical system. The present study provides an extended method that is also applicable to partial differential equations. …”
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Chaos for Discrete Dynamical System by Lidong Wang, Heng Liu, Yuelin Gao

“…We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. …”
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Trust Architecture in Dynamic Systems by Guo Yajun, Yu Zhongqiang, Chen Hao, Dong Huihui

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Optimal Stochastic Control Problem for General Linear Dynamical Systems in Neuroscience by Yan Chen, Yingchun Deng, Shengjie Yue, Chao Deng

“…Suppose the arm’s movement trajectory is modeled by high-order linear stochastic differential dynamic system in d-dimensional space, the optimal trajectory, velocity, and variance are explicitly obtained by using stochastic control method, which allows us to analytically establish exact relationships between various quantities. …”
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Optimal feedback control of dynamical systems via value-function approximation by Kunisch, Karl, Walter, Daniel

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Weighted power mean discrete dynamical systems: Fast convergence properties by Francisco J. Solis

“…We studied families of discrete dynamical systems obtained by using iteration functions given by weighted power mean in order to understand the role of hyperrapid convergence in nonlinear maps. …”
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Information Processing Features Can Detect Behavioral Regimes of Dynamical Systems by Rick Quax, Gregor Chliamovitch, Alexandre Dupuis, Jean-Luc Falcone, Bastien Chopard, Alfons G. Hoekstra, Peter M. A. Sloot

“…In dynamical systems, local interactions between dynamical units generate correlations which are stored and transmitted throughout the system, generating the macroscopic behavior. …”
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The combined modelling of dynamic systems control by Robertas Alzbutas, Vytautas Janilionis

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Analytical Investigation of Some Dynamical Systems by ZZ Transform with Mittag–Leffler Kernel by Mounirah Areshi, Muhammad Naeem, Noorolhuda Wyal

“…In this work, ZZ transformation is combined with the Adomian decomposition method to solve the dynamical system of fractional order. The derivative of fractional order is represented in the Atangana–Baleanu derivative. …”
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Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents by Paul L. Salceanu

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Probability Density Evolution Algorithm for Stochastic Dynamical Systems Based on Fractional Calculus by Yang Yan, Xiaohong Yu

“…With the increasing load and speed of trains, the problems caused by various random excitations (such as safety and passenger comfort) have become more prominent and thus arises the necessity to analyze stochastic dynamical systems, which is important in both academic and engineering circles. …”
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Some Aspects of Sensitivity Analysis in Variational Data Assimilation for Coupled Dynamical Systems by Sergei Soldatenko, Peter Steinle, Chris Tingwell, Denis Chichkine

“…Sensitivity estimates for a simple coupled dynamical system are calculated and presented in the paper. …”
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Finite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling by A. Acosta, P. García, H. Leiva, A. Merlitti

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Stability Analysis of the Periodic Solutions of Some Kinds of Predator-Prey Dynamical Systems by Neslihan Nesliye Pelen

“…Analysis of predator-prey dynamical systems that have the functional response which generalizes the other types of functional responses in two dimensions is mainly studied in this paper. …”
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