By Albert C. J. Luo
This specific publication offers the discretization of continuing structures and implicit mapping dynamics of periodic motions to chaos in non-stop nonlinear platforms. the steadiness and bifurcation concept of fastened issues in discrete nonlinear dynamical structures is reviewed, and the categorical and implicit maps of constant dynamical platforms are constructed throughout the single-step and multi-step discretizations. The implicit dynamics of period-m options in discrete nonlinear structures are mentioned. The publication additionally bargains a generalized method of discovering analytical and numerical recommendations 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 publication deals a priceless source for college scholars, professors, researchers and engineers within the fields of utilized arithmetic, physics, mechanics, keep watch over structures, and engineering.