Results 11 to 20 of about 33,643 (304)
Discrete Dynamics in Nature and Society, 1998 In this paper the definition of attractor of a dissipative dynamical system is introduced. The classification of the existing types of attractors and the analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulations using a number of real examples that provides the possibility to ...
Vadim S. Anishchenko +1 more
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STRANGE NONCHAOTIC ATTRACTORS [PDF]
International Journal of Bifurcation and Chaos, 2001 Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic Attractors (SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like strange attractors, are geometrically fractal. The largest Lyapunov exponent is zero or negative: trajectories do not show exponential sensitivity to initial conditions.
Awadhesh Prasad +2 more
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Reconstructing attractors with autoencoders
Chaos: An Interdisciplinary Journal of Nonlinear ScienceWe propose a method based on autoencoders to reconstruct attractors from recorded footage, preserving the topology of the underlying phase space. We provide theoretical support and test the method with (i) footage of the temperature and stream function fields involved in the Lorenz atmospheric convection problem and (ii) a time series obtained by ...
F. Fainstein, G. B. Mindlin, P. Groisman
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Attractor as a convex combination of a set of attractors
Communications in Nonlinear Science and Numerical Simulation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Danca, Marius-F. +4 more
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Supersymmetry and attractors [PDF]
Physical Review D, 1996 20 pages, 2 figures, LaTeX. few misprints removed, version to appear in Phys.
Ferrara, Sergio, Kallosh, Renata
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Journal of High Energy Physics, 2015 28 pages, 4 figures, LaTeX; v.2: references added, coffee stains removed; v.3: footnote added, minor typos ...
Goldstein, Kevin +2 more
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Journal of High Energy Physics, 2006 47 pages, 4 figures, LaTex, Reference ...
Astefanesei, Dumitru +4 more
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Ring Attractors as the Basis of a Biomimetic Navigation System [PDF]
, 2023 The ability to navigate effectively in a rich and complex world is crucial for the survival of all animals. Specialist neural structures have evolved that are implicated in facilitating this ability, one such structure being the ring attractor network ...
Thomas C. Knowles +7 more
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Physical Review D, 2009 We apply the entropy formalism to the study of the near-horizon geometry of extremal black p-brane intersections in D>5 dimensional supergravities. The scalar flow towards the horizon is described in terms an effective potential given by the superposition of the kinetic energies of all the forms under which the brane is charged.
Ferrara, Sergio +3 more
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Energy-optimal steering of transitions through a fractal basin boundary. [PDF]
, 2004 We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary.
Luchinsky, D. G. +3 more
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