Results 11 to 20 of about 1,894,382 (325)
HOPF ALGEBRAS IN DYNAMICAL SYSTEMS THEORY [PDF]
International Journal of Geometric Methods in Modern Physics, 2007 The theory of exact and of approximate solutions for non-autonomous linear differential equations forms a wide field with strong ties to physics and applied problems. This paper is meant as a stepping stone for an exploration of this long-established theme, through the tinted glasses of a (Hopf and Rota–Baxter) algebraic point of view.
José F. Cariñena +4 more
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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). As many other supersymmetries, Q-symmetry must be perturbatively stable due to what is generically known ...
Ovchinnikov, Igor V.
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Editorial Comment on the Special Issue of “Information in Dynamical Systems and Complex Systems”
Entropy, 2014 This special issue collects contributions from the participants of the “Information in Dynamical Systems and Complex Systems” workshop, which cover a wide range of important problems and new approaches that lie in the intersection of information theory ...
Erik M. Bollt, Jie Sun
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Gauge theory for finite-dimensional dynamical systems [PDF]
, 2007 Gauge theory is a well-established concept in quantum physics, electrodynamics, and cosmology. This theory has recently proliferated into new areas, such as mechanics and astrodynamics.
Pini Gurfil
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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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Mathematics, 2021 This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed ...
Narciso Román-Roy
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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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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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Kinetic Theory of Dynamical Systems [PDF]
, 2000 35 pages, 10 figures (eps) + 1 LaTeX figure. Part of the proceedings of the 1998 NATO-ASI "Dynamics: Models and Kinetic Methods for Non-equilibrium Many-Body Systems." (see http://www.phys.uu.nl/~zon/leiden.html)
Zon, R. van +2 more
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