Results 31 to 40 of about 64,512 (339)

Dimension reduction of dynamical systems on networks with leading and non-leading eigenvectors of adjacency matrices

open access: yesPhysical 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
doaj   +1 more source

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

Chaos on Fuzzy Dynamical Systems [PDF]

open access: yes, 2021
Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with ...
Félix Martínez-Giménez   +2 more
core   +1 more source

Time-averaging axion-like interacting scalar fields models

open access: yesEuropean 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
doaj   +1 more source

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

EXTENDED DYNAMICAL SYSTEMS AND STABILITY THEORY [PDF]

open access: yesProceedings of the National Academy of Sciences, 1967
Extended dynamical systems in Banach space and use of invariance principle for stability theory of partial differential ...
Hale, J. K., Infante, E. F.
openaire   +2 more sources

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

open access: yes, 2010
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.
Kloeden, Peter E.   +3 more
core   +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

Dynamical And Topological Aspects Of Lyapunov Graphs [PDF]

open access: yes, 2015
In this survey we present the interplay between topological dynamical systems theory with network flow theory in order to obtain a continuation result for abstract Lyapunov graphs L(h0,..., hn, κ) in dimension n with cycle number κ.
Bertolim M.A.   +2 more
core   +1 more source

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

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