New Advances on Chaotic Intermittency and its Applications (Record no. 12381)
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000 -LEADER | |
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fixed length control field | 05174nam a22005895i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-319-47837-1 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20211206131754.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 161215s2017 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783319478371 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | AIKTC-KRRC |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | ENG |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | TGMD |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | TEC009070 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | TGMD |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 620.1 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Elaskar, Sergio. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | New Advances on Chaotic Intermittency and its Applications |
Medium | [electronic resource] / |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. 2017. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Cham : |
Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
-- | Imprint: Springer, |
Date of production, publication, distribution, manufacture, or copyright notice | 2017. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XVIII, 197 p. 99 illus., 62 illus. in color. |
Other physical details | | Binding - Card Paper | |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS | |
File type | text file |
Encoding format | |
Source | rda |
520 ## - SUMMARY, ETC. | |
Summary, etc. | 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 intermittency type, 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. . |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mechanical Engineering |
9 (RLIN) | 4626 |
653 ## - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Theoretical and Applied Mechanics. |
653 ## - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Fluid- and Aerodynamics. |
653 ## - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Mathematical Applications in the Physical Sciences. |
653 ## - INDEX TERM--UNCONTROLLED | |
Uncontrolled term | Complexity, Neurosciences. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | del Río, Ezequiel. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer Nature eBook |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Printed edition: |
International Standard Book Number | 9783319478364 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Printed edition: |
International Standard Book Number | 9783319478388 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Printed edition: |
International Standard Book Number | 9783319838366 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-47837-1 |
Public note | Click here to access eBook in Springer Nature platform. (Within Campus only.) |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | eBooks |
Source of classification or shelving scheme |
No items available.