Analytical Routes to Chaos in Nonlinear Engineering by Albert C. J. Luo

By Albert C. J. Luo

Nonlinear difficulties are of curiosity to engineers, physicists and mathematicians and lots of different scientists simply because such a lot structures are inherently nonlinear in nature. As nonlinear equations are tough to unravel, nonlinear structures are regularly approximated by way of linear equations. This works good as much as a few accuracy and a few variety for the enter values, yet a few attention-grabbing phenomena corresponding to chaos and singularities are hidden through linearization and perturbation research. It follows that a few elements of the habit of a nonlinear approach look often to be chaotic, unpredictable or counterintuitive. even though this sort of chaotic habit might resemble a random habit, it's totally deterministic.

Analytical Routes to Chaos in Nonlinear Engineering discusses analytical options of periodic motions to chaos or quasi-periodic motions in nonlinear dynamical platforms in engineering and considers engineering functions, layout, and keep watch over. It systematically discusses advanced nonlinear phenomena in engineering nonlinear structures, together with the periodically pressured Duffing oscillator, nonlinear self-excited platforms, nonlinear parametric structures and nonlinear rotor platforms. Nonlinear versions utilized in engineering also are awarded and a quick heritage of the subject is provided.

Key features:

  • Considers engineering functions, layout and control
  • Presents analytical thoughts to teach how to define the periodic motions to chaos in nonlinear dynamical systems
  • Systematically discusses advanced nonlinear phenomena in engineering nonlinear systems
  • Presents widely 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 can be an invaluable resource of data for graduate and senior undergraduate scholars in those areas.

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