Search results for " Strange attractor"

showing 3 items of 3 documents

Attractors/Basin of Attraction

2020

It is a controversial issue to decide who first coined the term “attractor”. According to Peter Tsatsanis, the editor of the English version of Prédire n’est pas expliquer, it was René Thom who first introduced such a term. It is necessary, however, to remember that Thom thought that it was first introduced by the American mathe- matician Steven Smale, “although Smale says it was Thom that coined the neolo- gism “attractor”“(Tsatsanis 2010: 63–64 n. 20). From this point of view, Bob Williams expressed a more cautious opinion by saying that “the word “attractor” was invented by these guys, Thom and Smale” (Cucker and Wong 2000: 183). But other mathematicians are of the opinion that the term …

Attractor Basin of Attraction Fixed Point Limit Cycle Torus Strange Attractors Dynamical SystemsPhilosophyAttractorEnglish versionMathematical economicsAttractionSettore M-FIL/05 - Filosofia E Teoria Dei LinguaggiNeologismTerm (time)
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Approximate renormalization-group transformation for Hamiltonian systems with three degrees of freedom

1999

We construct an approximate renormalization transformation that combines Kolmogorov-Arnold-Moser (KAM)and renormalization-group techniques, to analyze instabilities in Hamiltonian systems with three degrees of freedom. This scheme is implemented both for isoenergetically nondegenerate and for degenerate Hamiltonians. For the spiral mean frequency vector, we find numerically that the iterations of the transformation on nondegenerate Hamiltonians tend to degenerate ones on the critical surface. As a consequence, isoenergetically degenerate and nondegenerate Hamiltonians belong to the same universality class, and thus the corresponding critical invariant tori have the same type of scaling prop…

KAM TORI; RENORMALIZATION GROUP; STRANGE ATTRACTORSDegenerate energy levelsFOS: Physical sciencesKAM TORIRenormalization groupNonlinear Sciences - Chaotic DynamicsStrange nonchaotic attractorSTRANGE ATTRACTORSHamiltonian systemNonlinear Sciences::Chaotic DynamicsRenormalizationTransformation (function)RENORMALIZATION GROUPQuantum mechanicsChaotic Dynamics (nlin.CD)Invariant (mathematics)Settore MAT/07 - Fisica MatematicaMathematics::Symplectic GeometryScalingMathematicsMathematical physicsPhysical Review E
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Génétique des textes et système chaotique

2016

Textual genetics and chaotic system Although we share Louis Hay's idea that it is impossible to homologate and systematize the operations which can be observed in manuscripts, it is however possible to interpret whatever creation process in terms of the passage from entropy to order. The possibility of an analogy between text and chaotic system had been advanced by Noëlle Batt according to whom each work actually satisfies the principles of the chaotic system. It is starting from such principles that we will try to show the analogy between chaotic system and textual genetics: 1. The fact that we are dealing with an evolving system (with variables and permanent features) endowed with a tempo…

Linguistics and LanguageHistorylcsh:French literature - Italian literature - Spanish literature - Portuguese literatureLiterature and Literary Theorymanuscritsattracteur étrangeSystème chaotique génétique des textes manuscrits attracteur étrange déterminisme imprévisibilité.Language and Linguisticsimprévisibilité.lcsh:PQ1-3999chaotic system Textual Genetics manuscripts Strange attractor determinism unpredictability.Settore L-LIN/03 - Letteratura Francesegénétique des textessystème chaotiquedéterminisme
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