Results 11 to 20 of about 529,550 (317)
Topological field theory of dynamical systems [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2012 Here, it is shown that the path-integral representation of any stochastic or deterministic continuous-time dynamical model is a cohomological or Witten-type topological field theory, i.e., a model with global topological supersymmetry (Q-symmetry).
Ovchinnikov, Igor V.
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Dynamical Systems Theory [PDF]
The International Journal of Communication and Linguistic Studies, 2019 This chapter introduces the basic concepts of dynamical systems theory, and several basic mathematical methods for controlling chaos. The main goal of this chapter is to provide an introduction to and a summary to the theory of dynamical systems with particular emphasis on fractal theory, chaos theory, and chaos control.
Oscar Castillo, Patricia Melin
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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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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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On the birth of limit cycles for non-smooth dynamical systems [PDF]
, 2014 The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems.
Andronov +31 more
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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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Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises [PDF]
, 2009 Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties.
Duan, Jinqiao +3 more
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