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Discretization and Implicit Mapping Dynamics

Name: Discretization and Implicit Mapping Dynamics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 09278636
Price: 55.1 EUR
Availability: InStock
Author: Albert C. J. Luo
ISBN: 9783662472743

Albert C. J. Luo

Jezik

Engleski

Knjiga Tvrdi uvez

Libristo kod: 09278636

Nakladnici Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, srpanj 2015

This unique book presents the discretization of continuous systems and implicit mapping dynamics of... Cijeli opis

Libristo kod: 09278636

133 b

55.10 €

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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.