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Discretization and implicit mapping dynamics

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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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Detail Information

Series Title

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Call Number

515.33

Publisher

Heidelberg : Springer., 2015

Collation

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Language

English

ISBN/ISSN

9783662472750

Classification

515.33

Content Type

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Media Type

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Carrier Type

online resource

Edition

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Subject(s)

Differential calculus & equations

Specific Detail Info

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Statement of Responsibility

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Other Information

Cataloger

Kurnadi

Source

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Validator

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