Discretization and Implicit Mapping Dynamics

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indgår i serie Nonlinear Physical Science


Studiebog
Discretization and Implicit Mapping Dynamics
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Format:
Bog, paperback
Udgivelsesdato:
23-10-2016
Sprog:
Engelsk
Udgave:
Softcover reprint of the original 1st ed. 2015.
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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.

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Bog, hardback
E-bog, PDF

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Udgivelsesdato:
23-10-2016
ISBN13:
9783662517093
Vægt:
5444 g
Bredde:
155 mm
Højde:
235 mm
Format:
Paperback
Forfattere
Bibliotekernes beskrivelse This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. 1 Paperback / softback 10 Tables, black and white; 26 Illustrations, color; 20 Illustrations, black and white; X, 310 p. 46 illus., 26 illus. in color.

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