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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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Physical Review Research, 2022 Dimension reduction techniques for dynamical systems on networks are considered to promote our understanding of the original high-dimensional dynamics.
Naoki Masuda, Prosenjit Kundu
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Dynamical systems theory for music dynamics
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995 We show that, when music pieces are cast in the form of time series of pitch variations, the concepts and tools of dynamical systems theory can be applied to the analysis of temporal dynamics in music. (i) Phase space portraits are constructed from the time series wherefrom the dimensionality is evaluated as a measure of the global dynamics of each ...
Boon, Jean-Pierre, Decroly, O.
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Time-averaging axion-like interacting scalar fields models
European Physical Journal C: Particles and Fields, 2021 In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$\phi _1$$ ϕ 1 and $$\phi _2$$ ϕ 2 interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless
Saikat Chakraborty +3 more
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Dark Type Dynamical Systems: The Integrability Algorithm and Applications
Algorithms, 2022 Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearization on
Yarema A. Prykarpatsky +3 more
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Double field theory at SL(2) angles
Journal of High Energy Physics, 2017 An extended field theory is presented that captures the full SL(2) × O(6, 6 + n) duality group of four-dimensional half-maximal supergravities. The theory has section constraints whose two inequivalent solutions correspond to minimal D = 10 supergravity ...
Franz Ciceri +4 more
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Learning Theory for Dynamical Systems
SIAM Journal on Applied Dynamical Systems, 2023 The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then explicitly learning the dynamics from this information.
Tyrus Berry, Suddhasattwa Das
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Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems
Physical Review Research, 2023 In this work we develop the theory of the Loschmidt echo and dynamical phase transitions in noninteracting strongly disordered Fermi systems after a quench.
Tuomas I. Vanhala, Teemu Ojanen
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Category Theory for Autonomous and Networked Dynamical Systems
Entropy, 2019 In this discussion paper we argue that category theory may play a useful role in formulating, and perhaps proving, results in ergodic theory, topogical dynamics and open systems theory (control theory). As examples, we show how to characterize Kolmogorov&
Jean-Charles Delvenne
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A survey on impulsive dynamical systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous cases. In the former, we will show two different approaches which have been proposed to analyze such kind of dynamical systems
Everaldo Bonotto +3 more
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