Results 11 to 20 of about 6,058 (264)
The modal sensitivity, robustness and roughness of dynamic systems (review article) [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 The review focuses on the development of theories of sensitivity and modal sensitivity, robustness and roughness of dynamic systems. In modern theory of dynamic systems and automatic control systems, there is a need to study the properties of sensitivity,
Roman O. Omorov
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A novel criterion for global incremental stability of dynamical systems [PDF]
Communications in nonlinear science & numerical simulation, 2022 In this paper, we establish the sufficient conditions guaranteeing global uniform exponential stability, or at least global asymptotic stability, of all solutions for nonlinear dynamical systems, also known as global incremental stability (GIS) of the ...
R. Vrabel
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Nonlinear analog of the complexity-stability transition in random dynamical systems: a replica calculation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 We consider large-dimensional dynamical systems involving a linear force and a random force comprising both potential and non-conservative contributions.
Thibaut Arnoulx de Pirey, F. van Wijland
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A Study on Some Properties for Weak Stability of Non-Autonomous Discrete Dynamical Systems
Journal of Mathematical Sciences and Informatics, 2023 The interest for non-autonomous discrete dynamical systems has been increasing in recent years, because they are adequate to tell of real activities. For examples, when the mapping is disturbed in each iteration because of external factors, or model of ...
K. Lim, Z. Salleh
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Topological Conditions for In-Network Stabilization of Dynamical Systems [PDF]
IEEE Journal on Selected Areas in Communications, 2013 We study the problem of stabilizing a linear system over a wireless network using a simple in-network computation method. Specifically, we study an architecture called the "Wireless Control Network" (WCN), where each wireless node maintains a state, and periodically updates it as a linear combination of neighboring plant outputs and node states.
Miroslav Pajic +3 more
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Localized dissipative vortices in chiral nematic liquid crystal cells
Physical Review Research, 2022 Solitary waves and solitons have played a fundamental role in understanding nonlinear phenomena and emergent particle-type behaviors in out-of-equilibrium systems.
M. G. Clerc +2 more
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Dynamical properties of the magnetic topological insulator
Physical review B, 2022 Recently discovered magnetic topological insulators $T$Bi$_{2}$Te$_{4}$ ($T=$Mn, Fe) crystallize into the $R\bar{3}m$ rhombohedral structure and exhibit the antiferromagnetic order.
A. Kobiałka, M. Sternik, A. Ptok
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Axioms, 2015 Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Török
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Uncovering the Origins of Instability in Dynamical Systems: How Can the Attention Mechanism Help?
Dynamics, 2023 The behavior of the network and its stability are governed by both dynamics of the individual nodes, as well as their topological interconnections. The attention mechanism as an integral part of neural network models was initially designed for natural ...
N. Bahador, M. Lankarany
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On the Space of Iterated Function Systems and Their Topological Stability [PDF]
Qualitative Theory of Dynamical Systems, 2020 We study iterated function systems with compact parameter space (IFS for short). We show that the space of IFS with phase space X is the hyperspace of the space of continuous maps from X to itself, which allows us to use the Hausdorff metric to define ...
A. Arbieto, Alexandre Trilles
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