Read e-book online Discretization and Implicit Mapping Dynamics (Nonlinear PDF

By Albert C. J. Luo

ISBN-10: 3662472740

ISBN-13: 9783662472743

This distinctive e-book provides the discretization of constant structures and implicit mapping dynamics of periodic motions to chaos in non-stop nonlinear structures. 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 constructed during the single-step and multi-step discretizations. The implicit dynamics of period-m suggestions in discrete nonlinear platforms are mentioned. The booklet additionally bargains a generalized approach to finding analytical and numerical strategies of solid and volatile periodic flows to chaos in nonlinear structures with/without time-delay. The bifurcation timber 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 booklet deals a useful source for college scholars, professors, researchers and engineers within the fields of utilized arithmetic, physics, mechanics, keep an eye on structures, and engineering.

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

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