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26 papers · 1 filter
The dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: instability, stretching, entanglement, and helices
I. S. Aranson, A. R. Bishop, L. Kramer
The dynamics of curved vortex filaments is studied analytically and numerically in the framework of a three-dimensional complex Ginzburg-Landau equation (CGLE). It is shown that a…
Mutator Dynamics on a Smooth Evolutionary Landscape
David A. Kessler, Herbert Levine
We investigate a model of evolutionary dynamics on a smooth landscape which features a ``mutator'' allele whose effect is to increase the mutation rate. We show that the expected p…
Chaos of the Relativistic Parametrically Forced van der Pol Oscillator
Y. Ashkenazy, C. Goren, L. P. Horwitz
A manifestly relativistically covariant form of the van der Pol oscillator in 1+1 dimensions is studied. We show that the driven relativistic equations, for which and are c…
The Camassa-Holm Equation: A Loop Group Approach
Jeremy Schiff
A map is presented that associates with each element of a loop group a solution of an equation related by a simple change of coordinates to the Camassa-Holm (CH) Equation. Certain…
Segmentation of Expository Texts by Hierarchical Agglomerative Clustering
Yaakov Yaari
We propose a method for segmentation of expository texts based on hierarchical agglomerative clustering. The method uses paragraphs as the basic segments for identifying hierarchic…
Representation of Quantum Mechanical Resonances in the Lax-Phillips Hilbert Space
Y. Strauss, L. P. Horwitz, E. Eisenberg
We discuss the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup. The spectrum of the g…