A model of a wireless data network of dynamic information-controlling system by S. V. Kruglikov, I. V. Filipchenko, A. Y. Zalizkо, A. R. Bekish

“…Modeling the digital communication network with a packet transmission of messages is based on the aggregate approach of the description of complex dynamic systems. The approach considers the possibility to use adaptive properties of system elements and the basic functions of mobile network knots, and also effective methods of inter-elements interaction. …”
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Formation of Students' Readiness for Professional Design and Construction Activities Based on an Integrative Approach by Zh. О. Khakimov, F. M. Rakhmatova

“…The approach, stages, criteria and levels of development of design and engineering competencies among bachelors in technical areas of study are presented as an integral, multi-level dynamic system, as well as didactic components of the educational process. …”
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Stability of Stochastic Differential Delay Systems with Delayed Impulses by Yanlei Wu

“…Moreover, it is also shown that if a continuous dynamic system is stable, then, under some conditions, the delayed impulses do not destroy the stability of the systems. …”
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Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion by Lingzhi Huang, Zhichun Yang

“…By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map, we obtain some sufficient conditions on the existence and global attractiveness of predator-eradicated periodic solution for the system. …”
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Mutation and Chaos in Nonlinear Models of Heredity by Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi

“…We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. …”
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Double Weak Hopf Quiver and Its Path Coalgebra by Muhammad Naseer Khan, Munir Ahmed, Muhammad Arshad, Waleed Almutiry, Rashad A. R. Bantan, Mohammed Elgarhy

“…These structures are important in the physics for dynamic systems.…”
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Operating with External Arguments of Douady and Hubbard by G. Pastor, M. Romera, G. Alvarez, J. Nunez, D. Arroyo, F. Montoya

“…The external arguments of the external rays theory of Douady and Hubbard is a valuable tool in order to analyze the Mandelbrot set, a typical case of discrete dynamical system used to study nonlinear phenomena. We suggest here a general method for the calculation of the external arguments of external rays landing at the hyperbolic components root points of the Mandelbrot set. …”
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Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator by Nguyen Dinh Binh

“…We prove the regularity and exponential growth of a pullback attractor in the space S02(Ω)∩L2p−2(Ω) for the nonautonomous dynamical system associated to the problem. The obtained results seem to be optimal and, in particular, improve and extend some recent results on pullback attractors for reaction-diffusion equations in bounded domains.…”
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Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control by Xiaobing Zhou, Lianglin Xiong, Weiwei Cai, Xiaomei Cai

“…The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. …”
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Advanced control parameter optimization in DC motors and liquid level systems by Serdar Ekinci, Davut Izci, Mohammad H. Almomani, Kashif Saleem, Raed Abu Zitar, Aseel Smerat, Vaclav Snasel, Absalom E. Ezugwu, Laith Abualigah

“…Abstract In recent times, there has been notable progress in control systems across various industrial domains, necessitating effective management of dynamic systems for optimal functionality. A crucial research focus has emerged in optimizing control parameters to augment controller performance. …”
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A novel approach to Lyapunov stability of Caputo fractional dynamic equations on time scale using a new generalized derivative by Michael Precious Ineh, Edet Peter Akpan, Hossam A. Nabwey

“…The results presented in this work contributed to the broader understanding of fractional calculus on time scales, enriching the theoretical foundation of dynamic systems analysis. Illustrative examples were included to demonstrate the effectiveness, relevance, and practical applicability of the established stability and asymptotic stability results. …”
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Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications by Jiang Zhu, Dongmei Liu

“…By using these maximum principles, the uniqueness theorems of the solutions, the approximation theorems of the solutions, the existence theorem, and construction techniques of the lower and upper solutions for second-order linear and nonlinear initial value problems and boundary value problems on time scales are proved, the oscillation of second-order mixed delat-nabla differential equations is discussed and, some maximum principles for second order mixed forward and backward difference dynamic system are proved.…”
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Study on Dynamics Characteristic of High Speed Herringbone Gear Transmission System by Yongchao Yuan, Ziling Wang, Zhongming Liu, Jizhe Mao, Haiming Gang

“…Based on the finite element numerical analysis method， the dynamics equation of herringbone gear transmission system is given and the model of rotor-bearing-gear dynamics system is established. The influence of shear， bending， torsion， axial force， gyroscopic effect and internal damping of rotor shaft are considered in the modeling process， and the influence of time-varying mesh stiffness and transmission error of herringbone gear pair is also considered. …”
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Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control by Chunjin Wei, Lansun Chen

“…By using the geometry theory of semicontinuous dynamic system and the method of successor function, we obtain the system with impulsive effects that has an order one periodic solution, and sufficient conditions for existence and stability of order one periodic solution are also obtained. …”
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Basic stage structure measure valued evolutionary game model by John Cleveland

“…A general model of this basic stage structure is formulated as a dynamical system on the state space of finite signed measures.Nonnegativity, well-posedness and uniform eventual boundedness are established under biologically natural conditions on the rates. …”
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Study on chaos phase space synchronous rotation and distinguish switching security communication by Guang-ming SUN, Jin-jie HUANG

“…A new chaotic dynamic system was proposed and the dynamic of this system was analyzed.Through the research of balance point,Lyapunov index,Lyapunov dimension and Poincare section,the chaotic behavior of the system was approved.Z axis of chaos system phase space was researched.Z axis rotation model in the phase space was built through introducing rotation matrix,and chaos system space synchronous rotation was researched.Based on the research results above,a chaotic distinguish switching security communication system was presented for the communication of information security.…”
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Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems by Chenhui Wang

“…The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. …”
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New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation by Cheng Chen, Zuolei Wang

“…Then, the fourth-order nonlinear generalized Boussinesq water wave equation is transformed into the planer dynamical system under traveling wave transformation. We also investigate the dynamical behaviors and chaotic behaviors of the considered equation. …”
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Nonlinear Dynamic Analysis and Synchronization of Four-Dimensional Lorenz-Stenflo System and Its Circuit Experimental Implementation by Cheng-Hsiung Yang, Cheng-Lin Wu

“…In this paper, first a new nonlinear chaotic dynamical system had be design, analyze and build circuit. …”
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Cosmological Dynamics of a Hybrid Chameleon Scenario by Kourosh Nozari, Narges Rashidi

“…By introducing an effective potential, we study the dependence of the effective potential's minimum and hybrid chameleon field's masses on the local matter density. In a dynamical system technique, we analyze the phase space of this two-field chameleon model, find its fixed points and study their stability. …”
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