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

Predictability of chaotic dynamics =...

Vallejo, Juan C.

FindBook

Google Book

Amazon

博客來

Predictability of chaotic dynamics = a finite-time Lyapunov exponents approach /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Predictability of chaotic dynamics/ by Juan C. Vallejo, Miguel A.F. Sanjuan.
其他題名:	a finite-time Lyapunov exponents approach /
作者:	Vallejo, Juan C.
其他作者:	Sanjuan, Miguel A.F.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xiii, 136 p. :ill., digital ;24 cm.
內容註:	Preface -- Forecasting and Chaos -- Lyapunov Exponents -- Dynamical Regimes and Timescales -- Predictability -- Numerical Calculation of Lyapunov Exponents.
Contained By:	Springer eBooks
標題:	Chaotic behavior in systems - Mathematical models. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-51893-0
ISBN:	9783319518930

Predictability of chaotic dynamics = a finite-time Lyapunov exponents approach /
Vallejo, Juan C.

Predictability of chaotic dynamicsa finite-time Lyapunov exponents approach /[electronic resource] :by Juan C. Vallejo, Miguel A.F. Sanjuan. - Cham :Springer International Publishing :2017. - xiii, 136 p. :ill., digital ;24 cm. - Springer series in synergetics,0172-7389. - Springer series in synergetics..

Preface -- Forecasting and Chaos -- Lyapunov Exponents -- Dynamical Regimes and Timescales -- Predictability -- Numerical Calculation of Lyapunov Exponents.

This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Henon-Heiles and Rossler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.

ISBN: 9783319518930

Standard No.: 10.1007/978-3-319-51893-0doiSubjects--Topical Terms:

858820
Chaotic behavior in systems
--Mathematical models.

LC Class. No.: Q172.5.C45

Dewey Class. No.: 003.857

Predictability of chaotic dynamics = a finite-time Lyapunov exponents approach /
LDR:02893nmm a2200337 a 4500 001 2093092
003 DE-He213
005 20170327202149.0
006 m d
007 cr nn 008maaau
008 171117s2017 gw s 0 eng d
020 $a 9783319518930 $q (electronic bk.)
020 $a 9783319518923 $q (paper)
024 7 $a 10.1007/978-3-319-51893-0 $2 doi
035 $a 978-3-319-51893-0
040 $a GP $c GP
041 0 $a eng
050 4 $a Q172.5.C45
072 7 $a PBWR $2 bicssc
072 7 $a PHDT $2 bicssc
072 7 $a SCI012000 $2 bisacsh
082 0 4 $a 003.857 $2 23
090 $a Q172.5.C45 $b V182 2017
100 1 $a Vallejo, Juan C. $3 3227628
245 1 0 $a Predictability of chaotic dynamics $h [electronic resource] : $b a finite-time Lyapunov exponents approach / $c by Juan C. Vallejo, Miguel A.F. Sanjuan.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xiii, 136 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in synergetics, $x 0172-7389
505 0 $a Preface -- Forecasting and Chaos -- Lyapunov Exponents -- Dynamical Regimes and Timescales -- Predictability -- Numerical Calculation of Lyapunov Exponents.
520 $a This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Henon-Heiles and Rossler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.
650 0 $a Chaotic behavior in systems $x Mathematical models. $3 858820
650 1 4 $a Physics. $3 516296
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 3134772
650 2 4 $a Numerical and Computational Physics, Simulation. $3 2209853
650 2 4 $a Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics) $3 3217206
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
700 1 $a Sanjuan, Miguel A.F. $3 2180581
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer series in synergetics. $3 1568157
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-51893-0
950 $a Physics and Astronomy (Springer-11651)