大葉大學圖書館 |

Discretization and implicit mapping dynamics[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.35
書名/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.
Contained By:	Springer eBooks
標題:	Differential equations.
標題:	Nonlinear systems.
標題:	Dynamics.
標題:	Physics.
標題:	Nonlinear Dynamics.
標題:	Difference and Functional Equations.
標題:	Vibration, Dynamical Systems, Control.
ISBN:	9783662472750 (electronic bk.)
ISBN:	9783662472743(paper)
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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-662-47275-0

Discretization and implicit mapping dynamics[electronic resource] /
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:

189741
Differential equations.

LC Class. No.: TA347.D45

Dewey Class. No.: 515.35

Discretization and implicit mapping dynamics[electronic resource] /
LDR:02279nam a2200337 a 4500 001 443249
003 DE-He213
005 20160217160308.0
006 m d
007 cr nn 008maaau
008 160715s2015 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 463919
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 0 $a Differential equations. $3 189741
650 0 $a Nonlinear systems. $3 400685
650 0 $a Dynamics. $3 175836
650 1 4 $a Physics. $3 171863
650 2 4 $a Nonlinear Dynamics. $3 428109
650 2 4 $a Difference and Functional Equations. $3 464113
650 2 4 $a Vibration, Dynamical Systems, Control. $3 463890
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Nonlinear physical science. $3 512292
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-47275-0
950 $a Physics and Astronomy (Springer-11651)