Discretization and Implicit Mapping Dynamics

Name: Discretization and Implicit Mapping Dynamics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783662472743
Price: 1358 CZK
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Autor: Albert C. J. Luo

Jazyk:

Vazba: Pevná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: U nakladatele na objednávku

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

Informace o knize

Autor

Albert C. J. Luo

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2015

Stránek

310

EAN

9783662472743

ISBN

3662472740

Enbook ID

09278636

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

6613

Rozměry

155 x 235 x 20

Kompletní popis

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.

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Discretization and Implicit Mapping Dynamics

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