Bifurcations of Traveling Wave Solutions for the Coupled Higgs Field Equation by Shengqiang Tang, Shu Xia

“…By using the bifurcation theory of dynamical systems, we study the coupled Higgs field equation and the existence of new solitary wave solutions, and uncountably infinite many periodic wave solutions are obtained. …”
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Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions by Kasey Bray, Jerry Dwyer, Roger W. Barnard, G. Brock Williams

“…The dynamical systems of trigonometric functions are explored, with a focus on tz=tanz and the fractal image created by iterating the Newton map, Ftz, of  tz. …”
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High-Precision Continuation of Periodic Orbits by Ángeles Dena, Marcos Rodríguez, Sergio Serrano, Roberto Barrio

“…Obtaining periodic orbits of dynamical systems is the main source of information about how the orbits, in general, are organized. …”
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Quantum Long Short-Term Memory-Assisted Optimization for Efficient Vehicle Platooning in Connected and Autonomous Systems by Mahzabeen Emu, Taufiq Rahman, Salimur Choudhury, Kai Salomaa

“…This research not only enhances the predictability of autonomous vehicle platoons but also opens pathways for research into how quantum computing can be integrated into real-time dynamic systems analysis and control.…”
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New Exact Explicit Nonlinear Wave Solutions for the Broer-Kaup Equation by Zhenshu Wen

“…Many exact explicit expressions of the nonlinear wave solutions for the equation are obtained by exploiting the bifurcation method and qualitative theory of dynamical systems. These solutions contain solitary wave solutions, singular solutions, periodic singular solutions, and kink-shaped solutions, most of which are new. …”
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Permanence and Global Attractivity of a Discrete Logistic Model with Impulses by Chunyu Gao, Qingxi Guo

“…The constructed model is more easily implemented at computer and is a better analogue of the continuous-time dynamic system. The dynamic behaviors of the constructed model are investigated. …”
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New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrödinger Equation by Yongan Xie, Shengqiang Tang

“…Applying bifurcation theory of dynamical systems and the Fan sub-equations method, more types of exact solutions, particularly solitary wave solutions, are obtained for the first time.…”
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Tight computationally efficient approximation of matrix norms with applications by Juditsky, Anatoli, Kotsalis, Georgios, Nemirovski, Arkadi

“…Finally, we consider some applications of norm bounding, in particular, (1) computationally efficient synthesis of affine non-anticipative finite-horizon control of discrete time linear dynamical systems under bounds on the peak-to-peak gains, (2) signal recovery with uncertainties in sensing matrix, and (3) identification of parameters of time invariant discrete time linear dynamical systems via noisy observations of states and inputs on a given time horizon, in the case of “uncertain-but-bounded” noise varying in a box.…”
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A New 6D Two-wing Hyperchaotic System: Dynamical Analysis, Circuit Design, and Sinchronization by Michael Kopp, Inna Samuilik

“…This paper introduces a novel 6D dynamic system derived from modified 3D Lorenz equations of the second type using state feedback control. …”
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Mathematical Modeling for Pharmaco-Kinetic and -Dynamic Predictions from Controlled Drug Release NanoSystems: A Comparative Parametric Study by Grigorios P. Panotopoulos, Ziyad S. Haidar

“…Predicting pharmacokinetics, based on the theory of dynamic systems, for an administered drug (whether intravenously, orally, intramuscularly, etc.), is an industrial and clinical challenge. …”
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Dynamics Analysis of Globoidal Indexing Cam Mechanism based on Rigid- flexible Coupling Model by Zhang Xingyu, Ge Zhenghao, Li Chengping, Zhang Shuanglin

“…Aiming at the globoidal cam indexing mechanism,considering the influence of elastic deformation,bending and twisting factor,combining the knowledge of rigid- flexible coupling dynamics system,a rigid- flexible coupling model of indexing cam mechanism is established by using the Pro / E,ADAMS,ANSYS,and the model is analyzed,a detailed description of the effects of speed,load on the dynamic performance of mechanism is carried out.…”
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W-Stability of Multistable Nonlinear Discrete-Time Systems by Zhishuai Ding, Guifang Cheng, Xiaowu Mu

“…Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. …”
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Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of the K(2,2) Equation by Qing Meng, Bin He

“…We consider a modification of the K(2,2) equation ut=2uuxxx+2kuxuxx+2uux using the bifurcation method of dynamical systems and the method of phase portraits analysis. …”
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Posterior Transpedicular Dynamic Stabilization versus Total Disc Replacement in the Treatment of Lumbar Painful Degenerative Disc Disease: A Comparison of Clinical Results by Tunc Oktenoglu, Ali Fahir Ozer, Mehdi Sasani, Yaprak Ataker, Cengiz Gomleksiz, Irfan Celebi

“…Conclusion. Both dynamic systems provided spine stability. However, the posterior dynamic system had a slight advantage over anterior disc prosthesis because of its convenient application and fewer possible complications.…”
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Classification of Human Learning Stages via Kernel Distribution Embeddings by Madeleine Shuhn-Tsuan Yuh, Kendric Ray Ortiz, Kylie Sue Sommer-Kohrt, Meeko Oishi, Neera Jain

“…Our approach is more accurate than standard classification methods, such as nearest centroid assignment, which rely on metrics that are not inherently suited to analysis of trajectories of stochastic dynamical systems.…”
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Enhanced Adaptive Neural-Fuzzy Inference System for Dynamic Time Series Prediction Using Self-Feedback and Hybrid Training by Andrew Topper, Honglei Yao

“…Predicting time series, especially those originating from chaotic and nonlinear dynamic systems, is a critical research area with broad applications across various fields. …”
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Large-Eddy Simulation of the Flow Past a Circular Cylinder at Re = 130,000: Effects of Numerical Platforms and Single- and Double-Precision Arithmetic by Dmitry A. Lysenko

“…The reconstructed attractors of the dynamic systems in phase space are limited by an ellipsoid.…”
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Singular value decomposition of dynamic response of structures by Yu. A. Kolotovichev

“…This study confirmed the possibility of using displacement matrix SVD to determine the major dynamic parameters of linear dynamic systems: eigenmodes, eigenfrequencies and quantitative damping parameters. …”
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Data-driven model discovery and model selection for noisy biological systems. by Xiaojun Wu, MeiLu McDermott, Adam L MacLean

“…We propose a data-driven framework for model discovery and model selection using hybrid dynamical systems: partial models containing missing terms. …”
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Second-Order Model Reduction Based on Gramians by Cong Teng

“…Some new and simple Gramian-based model order reduction algorithms are presented on second-order linear dynamical systems, namely, SVD methods. Compared to existing Gramian-based algorithms, that is, balanced truncation methods, they are competitive and more favorable for large-scale systems. …”
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