Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation by Ming Song, Zhengrong Liu

“…We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. …”
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Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System by He Shanghong, Xie Jin, Cheng Jiefeng, Cui Qingyu

“…Furthermore,the edge of chaos of the dynamics system is obtained. The results are verified by the other methods of analysis chaos,such as bifurcation diagram,phase diagram,time domain waveform,and maximum Lyapunov exponent. …”
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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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The Weighted Fermat Triangle Problem by Yujin Shen, Juan Tolosa

“…We provide geometric interpretations of the conditions and briefly indicate a connection with dynamical systems.…”
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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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Conditional Lie-Bäcklund Symmetry Reductions and Exact Solutions of a Class of Reaction-Diffusion Equations by Xinyang Wang, Junquan Song

“…The resulting equations are either solved exactly or reduced to some finite-dimensional dynamical systems. The exact solutions obtained in concrete examples possess the extended forms of the separation of variables.…”
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Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion by Haixia Zhao, Lijing Qiao, Shengqiang Tang

“…Based on the method of dynamical systems, the 3DKP(3,2) equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. …”
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A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications by Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, Carlos Arturo Loredo-Villalobos, Edgar Cristian Díaz-González

“…This paper presents a brief review on the current applications and perspectives on the stability of complex dynamical systems, with an emphasis on three main classes of systems such as delay-free systems, time-delay systems, and systems with uncertainties in its parameters, which lead to some criteria with necessary and/or sufficient conditions to determine stability and/or stabilization in the domains of frequency and time. …”
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Nonlinear dynamics in psychology by Stephen J. Guastello

“…This article provides a survey of the applications of nonlinear dynamical systems theory to substantive problems encountered in the full scope of psychological science. …”
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Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise by Xiaoyao Jia, Xiaoquan Ding

“…Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation. …”
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Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA by Zheng-yong Ouyang, Shan Zheng

“…By using the method of dynamical systems, the bounded traveling wave solutions such as bell-shaped solitary waves and periodic waves for the coupled nonlinear dynamical equations of DNA model are obtained and simulated numerically. …”
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Travelling wave solutions for higher-order wave equations of KDV type (III) by Jibin Li, Weigou Rui, Yao Long, Bin He

“…By using the theory of planar dynamical systems to the travellingwave equation of a higher order nonlinear wave equations of KdV type, theexistence of smooth solitary wave, kink wave and anti-kink wave solutions anduncountably infinite many smooth and non-smooth periodic wave solutions areproved. …”
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Periodic and Solitary-Wave Solutions for a Variant of the K(3,2) Equation by Jiangbo Zhou, Lixin Tian

“…We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the K(3,2) equation. …”
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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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Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators by Azhar Hussain, Ahsan Ali, Vahid Parvaneh, Hassen Aydi

“…To show the usability of our results, we give some examples and an application to resolve a functional equation arising in dynamical systems.…”
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Estimation of initial functions for systems with delays from discrete measurements by Krzysztof Fujarewicz

“…The work presents a gradient-based approach to estimation of initial functions of time delay elements appearing in models of dynamical systems. It is shown how to generate the gradient of the estimation objective function in the initial function space using adjoint sensitivity analysis. …”
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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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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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