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Relevant bibliographies by topics / Dynamical trefoil knot

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Academic literature on the topic 'Dynamical trefoil knot'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Dynamical trefoil knot"

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Abu-Saleem, M. "Homology Group on the Dynamical Trefoil Knot." Indian Journal of Science and Technology 6, no. 5 (2013): 1–5. http://dx.doi.org/10.17485/ijst/2013/v6i5.9.

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HENZE, CHRIS, and ART WINFREE. "A STABLE KNOTTED SINGULARITY IN AN EXCITABLE MEDIUM." International Journal of Bifurcation and Chaos 01, no. 04 (1991): 891–922. http://dx.doi.org/10.1142/s0218127491000658.

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Numerical studies of an apparently stable knotted singularity are used here to seek out regularities of vortex dynamics in three-dimensional excitable media. Initial conditions were contrived to produce a vortex filament in the form of a trefoil (3:2 torus) knot, using the piecewise linear 'B-kinetics', with excitability parameter 'g' set to 0.9. The simulation was pursued for 3000 time units, or about 125 wave rotations, during which time the knot was observed to rigidly 'precess' about its symmetry axis, completing one turn every 96 wave rotations, and also translate along that same axis, at

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3

M., Abu-Saleem. "Dynamical Knot and Their Fundamental Group." May 20, 2010. https://doi.org/10.5281/zenodo.814378.

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In this article, we introduce the fundamental group of the dynamical trefoil knot. Also the fundamental group of the limit dynamical trefoil knot will be achieved. Some types of conditional dynamical manifold restricted on the elements of a free group and their fundamental groups are presented. The dynamical trefoil knot of variation curvature and torsion of manifolds on their fundamental group are deduced .Theorems governing these relations are obtained.

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Zuccher, Simone, and Renzo L. Ricca. "Creation of quantum knots and links driven by minimal surfaces." Journal of Fluid Mechanics 942 (May 16, 2022). http://dx.doi.org/10.1017/jfm.2022.362.

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Using an improved numerical code we investigate the creation and evolution of quantum knots and links as defects of the Gross–Pitaevskii equation. The particular constraints put on quantum hydrodynamics make this an ideal context for application of geometric and topological methods to investigate dynamical properties. Evolutionary processes are classified into three generic scenarios representing (i) direct topological cascade and collapse, (ii) structural and topological cycles, and (iii) inverse topological cascade of complex structures. Several examples and test cases are studied; the head-

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Book chapters on the topic "Dynamical trefoil knot"

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Wu, Xue, Peijun Xu, Jinguang Wang, et al. "Folding Mechanisms of Trefoil Knot Proteins Studied by Molecular Dynamics Simulations and Go-model." In Advances in Experimental Medicine and Biology. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9245-5_8.

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