By Albert C. J. Luo
Nonlinear difficulties are of curiosity to engineers, physicists and mathematicians and lots of different scientists simply because so much platforms are inherently nonlinear in nature. As nonlinear equations are tough to unravel, nonlinear platforms are quite often approximated by means of linear equations. This works good as much as a few accuracy and a few diversity for the enter values, yet a few attention-grabbing phenomena equivalent to chaos and singularities are hidden through linearization and perturbation research. It follows that a few features of the habit of a nonlinear approach look in general to be chaotic, unpredictable or counterintuitive. even if the sort of chaotic habit might resemble a random habit, it really is totally deterministic.
Analytical Routes to Chaos in Nonlinear Engineering discusses analytical ideas of periodic motions to chaos or quasi-periodic motions in nonlinear dynamical structures in engineering and considers engineering purposes, layout, and regulate. It systematically discusses advanced nonlinear phenomena in engineering nonlinear structures, together with the periodically pressured Duffing oscillator, nonlinear self-excited structures, nonlinear parametric platforms and nonlinear rotor structures. Nonlinear versions utilized in engineering also are offered and a quick historical past of the subject is provided.
- Considers engineering purposes, layout and control
- Presents analytical recommendations to teach how to define the periodic motions to chaos in nonlinear dynamical systems
- Systematically discusses complicated nonlinear phenomena in engineering nonlinear systems
- Presents largely used nonlinear versions in engineering
Analytical Routes to Chaos in Nonlinear Engineering is a pragmatic reference for researchers and practitioners throughout engineering, arithmetic and physics disciplines, and is usually an invaluable resource of data for graduate and senior undergraduate scholars in those areas.
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Extra info for Analytical Routes to Chaos in Nonlinear Engineering
Analytical Routes to Chaos in Nonlinear Engineering by Albert C. J. Luo