國立虎尾科技大學 |

Discretization and implicit mapping dynamics

紀錄類型:	書目-語言資料,印刷品 : 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.;
Contained By:	Springer eBooks
標題:	Differential equations. -
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:

527664
Differential equations.

LC Class. No.: TA347.D45

Dewey Class. No.: 515.35

Discretization and implicit mapping dynamics
LDR:02279nam a2200337 a 4500 001 837011
003 DE-He213
005 20160217160308.0
006 m d
007 cr nn 008maaau
008 160421s2015 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 792652
245 1 0 $a Discretization and implicit mapping dynamics $h [electronic resource] / $c by Albert C.J. Luo.
260 $a Berlin, Heidelberg : $c 2015. $b Springer Berlin Heidelberg : $b Imprint: Springer,
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 527664
650 0 $a Nonlinear systems. $3 569004
650 0 $a Dynamics. $3 592238
650 1 4 $a Physics. $3 564049
650 2 4 $a Nonlinear Dynamics. $3 783150
650 2 4 $a Difference and Functional Equations. $3 672077
650 2 4 $a Vibration, Dynamical Systems, Control. $3 670825
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Nonlinear physical science. $3 1067560
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-47275-0
950 $a Physics and Astronomy (Springer-11651)