Results 21 to 30 of about 3,538,316 (309)

Dark Type Dynamical Systems: The Integrability Algorithm and Applications

open access: yesAlgorithms, 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
doaj   +1 more source

Stack- and Queue-like Dynamics in Recurrent Neural Networks [PDF]

open access: yes, 2005
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
core   +2 more sources

Double field theory at SL(2) angles

open access: yesJournal 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
doaj   +1 more source

Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises [PDF]

open access: yes, 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
core   +3 more sources

Mathematical control of complex systems 2013 [PDF]

open access: yes, 2014
Mathematical control of complex systems have already become an ideal research area for control engineers, mathematicians, computer scientists, and biologists to understand, manage, analyze, and interpret functional information/dynamical behaviours from ...
Dong, H   +5 more
core   +4 more sources

Learning Theory for Dynamical Systems

open access: yesSIAM 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
openaire   +2 more sources

Dynamical systems theory sheds new light on compound climate extremes in Europe and Eastern North America

open access: yesQuarterly Journal of the Royal Meteorological Society, 2019
We propose a novel approach to the study of compound extremes, grounded in dynamical systems theory. Specifically, we present the co‐recurrence ratio (α), which elucidates the dependence structure between variables by quantifying their joint recurrences.
F. Pons   +3 more
semanticscholar   +1 more source

Category Theory for Autonomous and Networked Dynamical Systems

open access: yesEntropy, 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
doaj   +1 more source

Theory of the Loschmidt echo and dynamical quantum phase transitions in disordered Fermi systems

open access: yesPhysical 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
doaj   +1 more source

Extrasolar planetary dynamics with a generalized planar Laplace-Lagrange secular theory [PDF]

open access: yes, 2007
The dynamical evolution of nearly half of the known extrasolar planets in multiple-planet systems may be dominated by secular perturbations. The commonly high eccentricities of the planetary orbits calls into question the utility of the traditional ...
Brouwer D.   +8 more
core   +2 more sources

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