Results 1 to 10 of about 55,626 (234)
Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems [PDF]
Physical Review B, 2019 Dynamical quantum phase transitions (DQPTs) represent a counterpart in non-equilibrium quantum time evolution of thermal phase transitions at equilibrium, where real time becomes analogous to a control parameter such as temperature. In quenched quantum systems, recently the occurrence of DQPTs has been demonstrated, both with theory and experiment, to ...
Christian B. Mendl, Jan Carl Budich
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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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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.
Pajic, M +3 more
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Topological stability and shadowing of dynamical systems from measure theoretical viewpoint
Topological Methods in Nonlinear Analysis, 2021 In this paper it is proved that a topologically stable invariant measure has no sinks or sources in its support; an expansive homeomorphism is topologically stable if it exhibits a topologically stable nonatomic Borel support measure and a continuous map has the shadowing property if there exists an invariant measure with the shadowing property such ...
Jiandong Yin, Meihua Dong
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npj Quantum Information, 2022 Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics, and may affect the fundamental states of matter. Here we report in an experiment a quantum simulation of the two-dimensional non-Hermitian quantum anomalous Hall (QAH)
Zidong Lin +10 more
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Noise-to-State Stability in Probability for Random Complex Dynamical Systems on Networks
Mathematics, 2022 This paper studies noise-to-state stability in probability (NSSP) for random complex dynamical systems on networks (RCDSN). On the basis of Kirchhoff’s matrix theorem in graph theory, an appropriate Lyapunov function which combines with every subsystem ...
Cheng Peng +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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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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Multifrequency optical lattice for dynamic lattice-geometry control
Physical Review Research, 2022 Ultracold atoms in optical lattices are pristine model systems with a tunability and flexibility that goes beyond solid-state analogies, e.g., dynamical lattice-geometry changes allow tuning a graphene lattice into a boron-nitride lattice.
M. N. Kosch +4 more
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Topological dynamics of control systems: Stability and attraction
Nonlinear Analysis: Theory, Methods & Applications, 1986 The authors study topological properties of control systems considered as dynamical polysystems. In this context they introduce such notions as stability, attraction, limit set and various prolongational sets. They derive some basic properties of these sets related to the stability question.
BACCIOTTI, A, KALOUPTSIDIS, N
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