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Analytical Routes to Chaos in Nonlinear Engineering (Hardcover)
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Analytical Routes to Chaos in Nonlinear Engineering (Hardcover)
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Nonlinear problems are of interest to engineers, physicists and
mathematicians and many other scientists because most systems are
inherently nonlinear in nature. As nonlinear equations are
difficult to solve, nonlinear systems are commonly approximated by
linear equations. This works well up to some accuracy and some
range for the input values, but some interesting phenomena such as
chaos and singularities are hidden by linearization and
perturbation analysis. It follows that some aspects of the behavior
of a nonlinear system appear commonly to be chaotic, unpredictable
or counterintuitive. Although such a chaotic behavior may resemble
a random behavior, it is absolutely deterministic. Analytical
Routes to Chaos in Nonlinear Engineering discusses analytical
solutions of periodic motions to chaos or quasi-periodic motions in
nonlinear dynamical systems in engineering and considers
engineering applications, design, and control. It systematically
discusses complex nonlinear phenomena in engineering nonlinear
systems, including the periodically forced Duffing oscillator,
nonlinear self-excited systems, nonlinear parametric systems and
nonlinear rotor systems. Nonlinear models used in engineering are
also presented and a brief history of the topic is provided. Key
features: * Considers engineering applications, design and control
* Presents analytical techniques to show how to find the periodic
motions to chaos in nonlinear dynamical systems * Systematically
discusses complex nonlinear phenomena in engineering nonlinear
systems * Presents extensively used nonlinear models in engineering
Analytical Routes to Chaos in Nonlinear Engineering is a practical
reference for researchers and practitioners across engineering,
mathematics and physics disciplines, and is also a useful source of
information for graduate and senior undergraduate students in these
areas.
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