By Albert C. J. Luo

This distinctive ebook offers the discretization of continuing platforms and implicit mapping dynamics of periodic motions to chaos in non-stop nonlinear structures. the steadiness and bifurcation thought of mounted issues in discrete nonlinear dynamical platforms is reviewed, and the categorical and implicit maps of continuing dynamical platforms are built throughout the single-step and multi-step discretizations. The implicit dynamics of period-m strategies in discrete nonlinear structures are mentioned. The e-book additionally bargains a generalized approach to finding analytical and numerical strategies of strong and volatile periodic flows to chaos in nonlinear structures with/without time-delay. The bifurcation bushes of periodic motions to chaos within the Duffing oscillator are proven as a pattern challenge, whereas the discrete Fourier sequence of periodic motions and chaos also are offered. The publication deals a worthy source for collage scholars, professors, researchers and engineers within the fields of utilized arithmetic, physics, mechanics, regulate structures, and engineering.

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Discretization and Implicit Mapping Dynamics (Nonlinear Physical Science) by Albert C. J. Luo

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