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Editorial Comment on the Special Issue of “Information in Dynamical Systems and Complex Systems”
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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Topological field theory of dynamical systems [PDF]
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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Dark Type Dynamical Systems: The Integrability Algorithm and Applications
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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Time-averaging axion-like interacting scalar fields models
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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On the birth of limit cycles for non-smooth dynamical systems [PDF]
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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Spectral Theory of Dynamical Systems
This is a survey on spectral theory of dynamical systems.
Mariusz Lemańczyk, Adam Kanigowski
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Stack- and Queue-like Dynamics in Recurrent Neural Networks [PDF]
What dynamics do simple recurrent networks (SRNs) develop to represent stack-like and queue-like memories? SRNs have been widely used as models in cognitive science.
Bennell, Julia A., Song, Xiang
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Double field theory at SL(2) angles
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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Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems
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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Kinetic Theory of Dynamical Systems [PDF]
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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