TitleDiscretization and Implicit Mapping Dynamics
Author(s)Luo, Albert C. J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2015.
DescriptionX, 310 p. 46 illus., 26 illus. in color : online resource
Abstract NoteThis 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
Keyword(s)1. Applications of Nonlinear Dynamics and Chaos Theory 2. Difference and Functional Equations 3. DIFFERENCE EQUATIONS 4. DYNAMICAL SYSTEMS 5. DYNAMICS 6. EBOOK 7. EBOOK - SPRINGER 8. FUNCTIONAL EQUATIONS 9. STATISTICAL PHYSICS 10. VIBRATION 11. Vibration, Dynamical Systems, Control
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I07463     On Shelf