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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Designing of a Personality Based Emotional Decision Model for Generating Various Emotional Behavior of Social Robots by Ho Seok Ahn

“…The personality-based emotional decision model is designed with four linear dynamics, viz. reactive dynamic system, internal dynamic system, emotional dynamic system, and behavior dynamic system. …”
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Oral English Development of EFL Learners from the Perspective of Complexity Dynamic Theory by Qiang Dou, Guohua Li, Yuan Tang

“…The purpose of this paper is to explore the learning situation of oral English of EFL learners from the perspective of the complex dynamic system theory and provide some new learning methods and suggestions for EFL learners’ oral English learning based on the research of complex dynamic system theory. …”
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The Stability Criteria with Compound Matrices by Yazhuo Zhang, Baodong Zheng

“…The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur stability of matrices on the base of the spectral property of compound matrices, which can be used to judge the asymptotical stability and the existence of Hopf bifurcations of discrete dynamical systems.…”
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Forecast of Chaotic Series in a Horizon Superior to the Inverse of the Maximum Lyapunov Exponent by Miguel Alfaro, Guillermo Fuertes, Manuel Vargas, Juan Sepúlveda, Matias Veloso-Poblete

“…The theory of the nonlinear dynamic systems indicates the capacity of making good-quality predictions of series coming from dynamic systems with chaotic behavior up to a temporal horizon determined by the inverse of the major Lyapunov exponent. …”
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Using chaos synchronization to estimate the largest lyapunov exponent of nonsmooth systems by Andrzej Stefanski, Tomasz kapitaniak

“…We describe the method of estimation of the largest Lyapunov exponent of nonsmooth dynamical systems using the properties of chaos synchronization. …”
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Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF by J. L. Echenausía-Monroy, J. H. García-López, R. Jaimes-Reátegui, D. López-Mancilla, G. Huerta-Cuellar

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Semigroup Actions on Intuitionistic Fuzzy Metric Spaces by Yaoyao Lan, Qingguo Li

“…This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. …”
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Research on a Cournot–Bertrand Game Model with Relative Profit Maximization by Yi-min Huang, Qiu-xiang Li, Yan-yan Guo, Yu-hao Zhang

“…The influence of product differentiation degree and the adjustment speed on the stability of the dynamic system is discussed. Furthermore, some complex properties and global stability of the dynamic system are explored. …”
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Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows by Inga Timofejeva, Kristina Poskuviene, Maosen Cao, Minvydas Ragulskis

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Convexity of the Set of Fixed Points Generated by Some Control Systems by Vadim Azhmyakov

“…We study closed-loop and open-loop controllable dynamical systems governed by ordinary differential equations (ODEs) and establish convexity of the set of trajectories. …”
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Dynamic analysis of Iran's oil and gas exports and sales revenue in the time horizon of 2050 by Paria Samadi Parviznejad, Ali Mohaghar

“…Also, three optimistic, moderate, and pessimistic scenarios were simulated in the dynamic system model. In the first scenario, the simulation was performed based on the changes in the oil price parameter in the future. …”
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Stratifications and foliations in phase portraits of gene network models by V. P. Golubyatnikov, A. A. Akinshin, N. B. Ayupova, L. S. Minushkina

“…In the present paper, we construct ensembles of trajectories in phase portraits of some dynamical systems. These ensembles are 2-dimensional surfaces invariant with respect to shifts along the trajectories. …”
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Hopf Bifurcation for a FitzHugh–Nagumo Model with Time Delay in a Network by Suxia Wang

“…A reaction diffusion system is used to study the interaction between species in a population dynamic system. It is not only used in a population dynamic system with the diffusion phenomenon but also used in physical chemistry, medicine, and animal and plant protection. …”
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Nonlinear Behaviors of Tail Dependence and Cross-Correlation of Financial Time Series Model by Wei Deng, Jun Wang

“…Nonlinear behaviors of tail dependence and cross-correlation of financial time series are reproduced and investigated by stochastic voter dynamic system. The voter process is a continuous-time Markov process and is one of the interacting dynamic systems. …”
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On Algebraic Approach in Quadratic Systems by Matej Mencinger

“…We use the one-to-one correspondence between homogeneous quadratic dynamical systems and algebra which was originally introduced by Markus in (1960). …”
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Efficient Neural Network Modeling for Flight and Space Dynamics Simulation by Ayman Hamdy Kassem

“…Nonlinear flight dynamic systems can be easily modeled by training its linearized models keeping the same network structure. …”
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Computation of the topological entropy in chaotic biophysical bursting models for excitable cells by Jorge Duarte, Luís Silva, J. Sousa Ramos

“…Although there is an elegant interpretation of many experimental results in terms of nonlinear dynamical systems, the dynamics of bursting models is not completely described. …”
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Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox by Chunxue Zhao

“…Subsequently, we discuss the influence of other links on whether the adding link works under the dynamic system optimal. At last, we give the relationship between the total congestion under dynamic user equilibrium and that under dynamic system optimal. …”
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Some Smooth and Nonsmooth Traveling Wave Solutions for KP-MEW(2, 2) Equation by Liping He, Yuanhua Lin, Hongying Zhu

“…In this paper, we consider the KP-MEW(2, 2) equation by the theory of bifurcations of planar dynamical systems when integral constant is considered. …”
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