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113
Discrete Symmetries of Chaotic Strings
, 801
"... Chaotic strings are particular classes of coupled map lattices that can serve as models for vacuum fluctuations in stochastically quantized field theories. They have been previously shown to distinguish standard model coupling parameters as corresponding to states of strongest possible chaotic behav ..."
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Chaotic strings are particular classes of coupled map lattices that can serve as models for vacuum fluctuations in stochastically quantized field theories. They have been previously shown to distinguish standard model coupling parameters as corresponding to states of strongest possible chaotic
Renormalization group approach to chaotic strings
, 1208
"... Coupled map lattices of weakly coupled Chebychev maps, socalled chaotic strings, have a profound physical meaning in terms of dynamical models of vacuum fluctuations in stochastically quantized field theories. Here we present analytic results for the invariant density of chaotic strings, as well as ..."
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Coupled map lattices of weakly coupled Chebychev maps, socalled chaotic strings, have a profound physical meaning in terms of dynamical models of vacuum fluctuations in stochastically quantized field theories. Here we present analytic results for the invariant density of chaotic strings, as well
Chaotic stringcapture by black hole
, 2008
"... We consider a macroscopic chargecurrent carrying (cosmic) string in the background of a Schwarzschild black hole. The string is taken to be circular and is allowed to oscillate and to propagate in the direction perpendicular to its plane (that is parallel to the equatorial plane of the black hole). ..."
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We consider a macroscopic chargecurrent carrying (cosmic) string in the background of a Schwarzschild black hole. The string is taken to be circular and is allowed to oscillate and to propagate in the direction perpendicular to its plane (that is parallel to the equatorial plane of the black hole
Chaotic strings and standard model parameters”, eprint hepth/0105152
"... We introduce socalled chaotic strings (coupled 1dimensional noise strings underlying the ParisiWu approach of stochastic quantization on a small scale) as a possible amendment of ordinary string theories. These strings are strongly selfinteracting and exhibit strongest possible chaotic behavior. ..."
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Cited by 10 (2 self)
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We introduce socalled chaotic strings (coupled 1dimensional noise strings underlying the ParisiWu approach of stochastic quantization on a small scale) as a possible amendment of ordinary string theories. These strings are strongly selfinteracting and exhibit strongest possible chaotic behavior
Chaotic Duality in String Theory
, 2004
"... We investigate the general features of renormalization group flows near superconformal fixed points of four dimensional N = 1 gauge theories with gravity duals. The gauge theories we study arise as the worldvolume theory on a set of Dbranes at a CalabiYau singularity where a del Pezzo surface sh ..."
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Cited by 4 (1 self)
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shrinks to zero size. Based mainly on field theory analysis, we find evidence that such flows are often chaotic and contain exotic features such as duality walls. For a gauge theory where the del Pezzo is the Hirzebruch zero surface, the dependence of the duality wall height on the couplings at some point
Contents lists available at SciVerse ScienceDirect
"... journal homepage: www.elsevier.com/locate/chaos Renormalization group approach to chaotic strings ..."
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journal homepage: www.elsevier.com/locate/chaos Renormalization group approach to chaotic strings
The induction of dynamical recognizers
 Machine Learning
, 1991
"... A higher order recurrent neural network architecture learns to recognize and generate languages after being "trained " on categorized exemplars. Studying these networks from the perspective of dynamical systems yields two interesting discoveries: First, a longitudinal examination of the le ..."
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Cited by 225 (14 self)
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length strings. Second, a study of the automata resulting from the acquisition of previously published training sets indicates that while the architecture is not guaranteed to find a minimal finite automaton consistent with the given exemplars, which is an NPHard problem, the architecture does appear capable
Chaotic Scattering and Capture of Strings by Black Hole
, 1999
"... We consider scattering and capture of circular cosmic strings by a Schwarzschild black hole. Although being apriory a very simple axially symmetric twobody problem, it shows all the features of chaotic scattering. In particular, it contains a fractal set of unstable periodic solutions; a socalled ..."
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Cited by 6 (0 self)
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We consider scattering and capture of circular cosmic strings by a Schwarzschild black hole. Although being apriory a very simple axially symmetric twobody problem, it shows all the features of chaotic scattering. In particular, it contains a fractal set of unstable periodic solutions; a so
Chaotic Coupling Constants
"... We examine some novel physical consequences of the general structure of moduli spaces of string vacua. These include (1) finiteness of the volume of the moduli space and (2) chaotic motion of the moduli in the early universe. To fix ideas we examine in detail the example of the (conjectural) dilaton ..."
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Cited by 22 (0 self)
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We examine some novel physical consequences of the general structure of moduli spaces of string vacua. These include (1) finiteness of the volume of the moduli space and (2) chaotic motion of the moduli in the early universe. To fix ideas we examine in detail the example of the (conjectural
Modeling Chaotic Motions of a String From Experimental Data
 Physica D
, 1996
"... Experimental measurements of nonlinear vibrations of a string are analyzed using new techniques of nonlinear modeling. Previous theoretical and numerical work suggested that the motions of a string can be chaotic and a Shil'nikov mechanism is responsible. We show that the experimental data is c ..."
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Cited by 5 (5 self)
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Experimental measurements of nonlinear vibrations of a string are analyzed using new techniques of nonlinear modeling. Previous theoretical and numerical work suggested that the motions of a string can be chaotic and a Shil'nikov mechanism is responsible. We show that the experimental data
Results 1  10
of
113