Title Discretization and Implicit Mapping Dynamics Author(s) Luo, Albert C. J Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 2015. Description X, 310 p. 46 illus., 26 illus. in color : online resource Abstract Note 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 ISBN,Price 9783662472750 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 Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I07463     On Shelf