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Discretization and Implicit Mapping Dynamics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Discretization and Implicit Mapping Dynamics/ by Albert C. J. Luo.
Author:	Luo, Albert C. J.
Description:	X, 310 p. 46 illus., 26 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistical physics. -
Online resource:	https://doi.org/10.1007/978-3-662-47275-0
ISBN:	9783662472750

Discretization and Implicit Mapping Dynamics
Luo, Albert C. J.

Discretization and Implicit Mapping Dynamics[electronic resource] /by Albert C. J. Luo. - 1st ed. 2015. - X, 310 p. 46 illus., 26 illus. in color.online resource. - 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

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

528048
Statistical physics.

LC Class. No.: QC174.7-175.36

Dewey Class. No.: 621

Discretization and Implicit Mapping Dynamics
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