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Discretization and Implicit Mapping Dynamics

84,68 
84,68 
2025-07-31 84.6800 InStock
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Knygos aprašymas

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.

Informacija

Autorius: Albert C. J. Luo
Serija: Nonlinear Physical Science
Leidėjas: Springer Berlin Heidelberg
Išleidimo metai: 2016
Knygos puslapių skaičius: 320
ISBN-10: 3662517094
ISBN-13: 9783662517093
Formatas: Knyga minkštu viršeliu
Kalba: Anglų
Žanras: Differential calculus and equations

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