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 tricky to unravel, nonlinear platforms are as a rule 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 fascinating phenomena reminiscent of chaos and singularities are hidden via linearization and perturbation research. It follows that a few elements of the habit of a nonlinear method seem in general to be chaotic, unpredictable or counterintuitive. even supposing any such chaotic habit could resemble a random habit, it really is completely deterministic.

Analytical Routes to Chaos in Nonlinear Engineering discusses analytical ideas of periodic motions to chaos or quasi-periodic motions in nonlinear dynamical platforms in engineering and considers engineering purposes, layout, and keep an eye on. It systematically discusses complicated nonlinear phenomena in engineering nonlinear platforms, together with the periodically pressured Duffing oscillator, nonlinear self-excited structures, nonlinear parametric structures and nonlinear rotor platforms. Nonlinear versions utilized in engineering also are awarded and a short background of the subject is provided.

Key features:

  • Considers engineering purposes, layout and control
  • Presents analytical options to teach how to define the periodic motions to chaos in nonlinear dynamical systems
  • Systematically discusses advanced nonlinear phenomena in engineering nonlinear systems
  • Presents broadly used nonlinear types in engineering

Analytical Routes to Chaos in Nonlinear Engineering is a realistic reference for researchers and practitioners throughout engineering, arithmetic and physics disciplines, and can be an invaluable resource of knowledge for graduate and senior undergraduate scholars in those areas.

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