東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

New advances on chaotic intermittenc...

Elaskar, Sergio.

FindBook

Google Book

Amazon

博客來

New advances on chaotic intermittency and its applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	New advances on chaotic intermittency and its applications/ by Sergio Elaskar, Ezequiel del Rio.
作者:	Elaskar, Sergio.
其他作者:	Del Rio, Ezequiel.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xviii, 197 p. :ill., digital ;24 cm.
內容註:	Chapter 1: Introduction to chaotic intermittency -- Chapter 2: Other types of intermittency and some recent advances in the study of chaotic intermittency -- Chapter 3: Some applications of the chaotic Intermittency -- Chapter 4: Classical theory about noise effects in chaotic intermittency -- Chapter 5: New formulation of the chaotic intermittency -- Chapter 6: New formulation of the noise effects in chaotic intermittency -- Chapter 7: Application of the new formulation to pathological cases -- Chapter 8: Application to dynamical systems. An example with discontinuous RPD: the derivative nonlinear Schrodinger equation -- Chapter 9: Evaluation of the intermittency statistical properties using the Perron-Frobenius operator.
Contained By:	Springer eBooks
標題:	Chaotic behavior in systems. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-47837-1
ISBN:	9783319478371

New advances on chaotic intermittency and its applications
Elaskar, Sergio.

New advances on chaotic intermittency and its applications[electronic resource] /by Sergio Elaskar, Ezequiel del Rio. - Cham :Springer International Publishing :2017. - xviii, 197 p. :ill., digital ;24 cm.

Chapter 1: Introduction to chaotic intermittency -- Chapter 2: Other types of intermittency and some recent advances in the study of chaotic intermittency -- Chapter 3: Some applications of the chaotic Intermittency -- Chapter 4: Classical theory about noise effects in chaotic intermittency -- Chapter 5: New formulation of the chaotic intermittency -- Chapter 6: New formulation of the noise effects in chaotic intermittency -- Chapter 7: Application of the new formulation to pathological cases -- Chapter 8: Application to dynamical systems. An example with discontinuous RPD: the derivative nonlinear Schrodinger equation -- Chapter 9: Evaluation of the intermittency statistical properties using the Perron-Frobenius operator.

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 Poincare 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.

ISBN: 9783319478371

Standard No.: 10.1007/978-3-319-47837-1doiSubjects--Topical Terms:

524350
Chaotic behavior in systems.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

New advances on chaotic intermittency and its applications
LDR:03620nmm a2200325 a 4500 001 2089178
003 DE-He213
005 20170628152625.0
006 m d
007 cr nn 008maaau
008 171013s2017 gw s 0 eng d
020 $a 9783319478371 $q (electronic bk.)
020 $a 9783319478364 $q (paper)
024 7 $a 10.1007/978-3-319-47837-1 $2 doi
035 $a 978-3-319-47837-1
040 $a GP $c GP
041 0 $a eng
050 4 $a Q172.5.C45
072 7 $a TGMD $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a SCI041000 $2 bisacsh
082 0 4 $a 003.857 $2 23
090 $a Q172.5.C45 $b E37 2017
100 1 $a Elaskar, Sergio. $3 3219557
245 1 0 $a New advances on chaotic intermittency and its applications $h [electronic resource] / $c by Sergio Elaskar, Ezequiel del Rio.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xviii, 197 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1: Introduction to chaotic intermittency -- Chapter 2: Other types of intermittency and some recent advances in the study of chaotic intermittency -- Chapter 3: Some applications of the chaotic Intermittency -- Chapter 4: Classical theory about noise effects in chaotic intermittency -- Chapter 5: New formulation of the chaotic intermittency -- Chapter 6: New formulation of the noise effects in chaotic intermittency -- Chapter 7: Application of the new formulation to pathological cases -- Chapter 8: Application to dynamical systems. An example with discontinuous RPD: the derivative nonlinear Schrodinger equation -- Chapter 9: Evaluation of the intermittency statistical properties using the Perron-Frobenius operator.
520 $a 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 Poincare 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 $a Chaotic behavior in systems. $3 524350
650 1 4 $a Engineering. $3 586835
650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Fluid- and Aerodynamics. $3 1066670
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Complexity. $3 893807
650 2 4 $a Electrical Engineering. $3 1001838
650 2 4 $a Neurosciences. $3 588700
700 1 $a Del Rio, Ezequiel. $3 3219558
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-47837-1
950 $a Engineering (Springer-11647)