Custom cover image
Custom cover image

Discretization and Implicit Mapping Dynamics / by Albert C. J. Luo

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Nonlinear Physical Science | SpringerLink BücherPublisher: Berlin, Heidelberg : Springer, 2015Edition: 1st ed. 2015Description: Online-Ressource (X, 310 p. 46 illus., 26 illus. in color, online resource)ISBN:
  • 9783662472750
Subject(s): Additional physical formats: 9783662472743 | Druckausg.: Discretization and implicit mapping dynamics. Beijing : Higher Education Press, 2015. x, 310 Seiten | Erscheint auch als: Discretization and implicit mapping dynamics. Druck-Ausgabe Beijing : Higher Education Press, 2015. x, 310 SeitenMSC: MSC: *70K55 | 70K50 | 37-02 | 37D45RVK: RVK: SK 920 | UG 3900LOC classification:
  • QC174.7-175.36
DOI: DOI: 10.1007/978-3-662-47275-0Online resources:
Summary: 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 engineeringPPN: PPN: 1657561011Package identifier: Produktsigel: ZDB-2-PHA
No physical items for this record

Powered by Koha