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

Discretization and implicit mapping ...

Luo, Albert C.J.

FindBook

Google Book

Amazon

博客來

Discretization and implicit mapping dynamics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Discretization and implicit mapping dynamics/ by Albert C.J. Luo.
作者:	Luo, Albert C.J.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2015.,
面頁冊數:	x, 310 p. :ill., digital ;24 cm.
內容註:	Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator.
Contained By:	Springer eBooks
標題:	Vibration, Dynamical Systems, Control. -
電子資源:	http://dx.doi.org/10.1007/978-3-662-47275-0
ISBN:	9783662472750 (electronic bk.)

Discretization and implicit mapping dynamics
Luo, Albert C.J.

Discretization and implicit mapping dynamics[electronic resource] /by Albert C.J. Luo. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - x, 310 p. :ill., digital ;24 cm. - Nonlinear physical science,1867-8440. - Nonlinear physical science..

Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator.

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.

ISBN: 9783662472750 (electronic bk.)

Standard No.: 10.1007/978-3-662-47275-0doiSubjects--Topical Terms:

893843
Vibration, Dynamical Systems, Control.

LC Class. No.: TA347.D45

Dewey Class. No.: 515.35

Discretization and implicit mapping dynamics
LDR:02279nmm a2200337 a 4500 001 2009183
003 DE-He213
005 20160217160308.0
006 m d
007 cr nn 008maaau
008 160311s2015 gw s 0 eng d
020 $a 9783662472750 (electronic bk.)
020 $a 9783662472743(paper)
024 7 $a 10.1007/978-3-662-47275-0 $2 doi
035 $a 978-3-662-47275-0
040 $a GP $c GP
041 0 $a eng
050 4 $a TA347.D45
072 7 $a PBWR $2 bicssc
072 7 $a PHDT $2 bicssc
072 7 $a SCI012000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a TA347.D45 $b L964 2015
100 1 $a Luo, Albert C.J. $3 1086065
245 1 0 $a Discretization and implicit mapping dynamics $h [electronic resource] / $c by Albert C.J. Luo.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2015.
300 $a x, 310 p. : $b ill., digital ; $c 24 cm.
490 1 $a Nonlinear physical science, $x 1867-8440
505 0 $a Introduction -- Nonlinear Discrete Systems -- Discretization of Continuous Systems -- Implicit Mapping Dynamics -- Periodic Flows in Continuous Systems -- Periodic Motions to Chaos in Duffing Oscillator.
520 $a This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps of continuous dynamical systems are developed through the single-step and multi-step discretizations. The implicit dynamics of period-m solutions in discrete nonlinear systems are discussed. The book also offers a generalized approach to finding analytical and numerical solutions of stable and unstable periodic flows to chaos in nonlinear systems with/without time-delay. The bifurcation trees of periodic motions to chaos in the Duffing oscillator are shown as a sample problem, while the discrete Fourier series of periodic motions and chaos are also presented. The book offers a valuable resource for university students, professors, researchers and engineers in the fields of applied mathematics, physics, mechanics, control systems, and engineering.
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
650 0 $a Differential equations. $3 517952
650 0 $a Nonlinear systems. $3 686475
650 0 $a Dynamics. $3 519830
650 1 4 $a Physics. $3 516296
650 2 4 $a Nonlinear Dynamics. $3 608190
650 2 4 $a Difference and Functional Equations. $3 897290
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Nonlinear physical science. $3 1314342
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-47275-0
950 $a Physics and Astronomy (Springer-11651)