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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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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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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A Review of the Modeling of Adsorption of Organic and Inorganic Pollutants from Water Using Artificial Neural Networks by Hilda Elizabeth Reynel-Ávila, Ismael Alejandro Aguayo-Villarreal, Lizbeth Liliana Diaz-Muñoz, Jaime Moreno-Pérez, Francisco Javier Sánchez-Ruiz, Cintia Karina Rojas-Mayorga, Didilia Ileana Mendoza-Castillo, Adrián Bonilla-Petriciolet

“…The development of reliable artificial neural networks for the modeling of multicomponent adsorption in batch and dynamic systems is fundamental to improve the process engineering in water treatment and purification.…”
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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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Grazing Orbits and Related Local Bifurcations of an Oscillator with Continuous and Piecewise-Linear Restoring Force by Haiyan Hu

“…Then, through a brief analysis, the article shows that the grazing phenomenon turns the stability trend of the periodic orbit so abruptly that it may be impossible to predict an incident local bifurcation with the variation of a control parameter from the concept of smooth dynamic systems. The numerical simulation in the article well supports the scheme and the analysis, and shows an abundance of grazing phenomena in an engineering range of the excitation frequency.…”
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Eigenpairs for the Analysis of Complete Lyapunov Functions by Carlos Argáez, Peter Giesl, Sigurdur Freyr Hafstein

“…A complete Lyapunov function describes the qualitative behaviour of a dynamical system: the areas where the orbital derivative vanishes and where it is strictly negative characterise the chain recurrent set and the gradient-like flow, respectively. …”
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Position Tracking Control for Permanent Magnet Linear Motor via Continuous-Time Fast Terminal Sliding Mode Control by Wei Gao, Xiuping Chen, Haibo Du, Song Bai

“…Specifically, first, for the second-order model of position error dynamic system, a new continuous-time fast terminal sliding surface is introduced and an improved continuous-time fast terminal sliding mode control law is proposed. …”
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Systematic Dynamical Analysis in Palatini fR Gravity by Fizza Saeed, Sehrish Iftikhar, Rubab Manzoor

“…Considering Amendola Gannouji Polarski Tsujikawa (AGPT) fR gravity model, we perform a dynamical system analysis within the FLRW universe in order to analyze the impacts of this gravity model on large-scale structure and dynamics of universe. …”
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The traveling wave solution and dynamics analysis of the fractional order generalized Pochhammer–Chree equation by Chunyan Liu

“…Second, the dynamic behavior is analyzed using the planar dynamical system, and some three-dimensional and two-dimensional phase portraits are drawn using Maple software to reflect its chaotic behaviors. …”
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On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs by F. N. Koumboulis, M. G. Skarpetis, B. G. Mertzios

“…The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a discrete multidimensional passive (MD-passive) dynamic system, using principles of MD nonlinear digital filtering. …”
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Consilience of Reductionism and Complexity Theory in Language Research: Adaptive Weight Model by Chao Zhang

“…This paper starts by discussing the adaptability of complex dynamic systems and combines cognitive processing model and artificial neural networks to construct and verify an adaptive weight model, showing that the study of reductionism is induction of high-weight elements and the study of complexity theory is a discussion of system complexity from adaptability, meaning that there is a good fit between the two frameworks. …”
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RESEARCH ON MULTI-BODY DYNAMIC SIMULATION OF HUMANOID FOOT TYPE STAIR CLIMBING WHEELCHAIR BASED ON ADAMS by ZHU Hua, YANG Hui, HUANG ZhenLi, GUO ChangJian, YU YiPeng

“…Based on the design of the new type of humanoid foot shaped wheelchair and the usage of large-scale engineering software named ADMAS,to simplify the wheelchair model to establish a multi-body dynamics system,and analyzed a virtual prototype simulation. …”
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Multiparty Evolutionary Game Model in Coal Mine Safety Management and Its Application by Rongwu Lu, Xinhua Wang, Hao Yu, Dan Li

“…Based on stability theory of dynamics system and phase diagram analysis, this article studies replicator dynamics of the evolutionary model to make an optimization analysis of the behaviors of those interested parties and the adjustment mechanism of safety management policies and decisions. …”
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Analysis of Complex Dynamics in Different Bargaining Systems by Xiaogang Ma, Chunyu Bao, Lin Su

“…We explore the influence of bargaining power and adjustment speed on the stability of the dynamic system and find that both of the factors need to be small to maintain the stability of the supply chain. …”
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Distributed Filter with Consensus Strategies for Sensor Networks by Xie Li, Huang Caimou, Hu Haoji

“…Consensus algorithm for networked dynamic systems is an important research problem for data fusion in sensor networks. …”
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