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New Advances on Chaotic Intermittency and its Applications
Titre de l'éditeur : New Advances on Chaotic Intermittency and its Applications
EZEQUIEL DEL RÍO SERGIO ELASKAR
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EN SAVOIR PLUS
Résumé
One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data.
As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittencytype, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work.
This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map.
Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
Détails
Prix :
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132,46 $
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Catégorie :
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Auteur :
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EZEQUIEL DEL RÍO SERGIO ELASKAR
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Titre :
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New Advances on Chaotic Intermittency and its Applications
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Date de parution :
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décembre 2019
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Éditeur :
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LIVRES NUMÉRIQUES DIVERS
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Sujet :
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NUL DIVERS
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ISBN :
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9783319478371 (33194783711)
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Référence Renaud-Bray :
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2147154
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No de produit :
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2147154
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Droits numériques
Format :
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PDF
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Disponibilité :
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Canada,
consultez la liste des pays autorisés.
New Advances on Chaotic Intermittency and its Applications
De
DEL RÍO , EZEQUIEL*ELASKAR , SERGIO
ANDORRE
ÉMIRATS ARABES UNIS
ALBANIE
ARMÉNIE
ANTARCTIQUE
ARGENTINE
SAMOA AMÉRICAINES
AUTRICHE
AUSTRALIE
AZERBAÏDJAN
BOSNIE-HERZÉGOVINE
BARBADE
BELGIQUE
BURKINA FASO
BULGARIE
BAHREÏN
BURUNDI
BÉNIN
BERMUDES
BRUNÉI DARUSSALAM
BOLIVIE
BRÉSIL
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BOUVET, ÎLE
BELIZE
Canada
CONGO, LA RÉPUBLIQUE DÉMOCRATIQUE DU
CONGO
SUISSE
CÔTE D'IVOIRE
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CHILI
CAMEROUN
CHINE
COLOMBIE
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CUBA
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CHYPRE
TCHÈQUE, RÉPUBLIQUE
ALLEMAGNE
DJIBOUTI
DANEMARK
DOMINIQUE
DOMINICAINE, RÉPUBLIQUE
ALGÉRIE
ÉQUATEUR
ESTONIE
ÉGYPTE
ESPAGNE
FINLANDE
FALKLAND, ÎLES (MALVINAS)
FÉROÉ, ÎLES
FRANCE
GABON
GRENADE
GÉORGIE
GUYANE FRANÇAISE
GIBRALTAR
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GUINÉE
GUADELOUPE
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HEARD, ÎLE ET MCDONALD, ÎLES
HONDURAS
CROATIE
HAÏTI
HONGRIE
INDONÉSIE
IRLANDE
ISRAËL
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Gestion des droits numériques :
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Adobe DRM
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Entrepôt numérique :
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NUMILOG
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Nombre d'appareils autorisés :
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3
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Nombre de copier/coller :
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0
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Impression :
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0
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New Advances on Chaotic Intermittency and its Applications
,
DEL RÍO , EZEQUIEL*ELASKAR , SERGIO
©
LIVRES NUMÉRIQUES DIVERS
2019
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