By Albert C. J. Luo

This distinct ebook provides the discretization of continuing platforms and implicit mapping dynamics of periodic motions to chaos in non-stop nonlinear platforms. the soundness and bifurcation conception of fastened issues in discrete nonlinear dynamical platforms is reviewed, and the specific and implicit maps of constant dynamical structures are built during the single-step and multi-step discretizations. The implicit dynamics of period-m options in discrete nonlinear structures are mentioned. The booklet additionally deals a generalized approach to finding analytical and numerical ideas of solid and risky periodic flows to chaos in nonlinear platforms 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 provided. The booklet bargains a priceless source for collage scholars, professors, researchers and engineers within the fields of utilized arithmetic, physics, mechanics, keep watch over platforms, and engineering.

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