Toward Analytical Chaos in Nonlinear Systems

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Toward Analytical Chaos in Nonlinear Systems - Luo, Albert C. J.
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Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of analytical solutions of periodic motions in nonlinear dynamical systems. So the bifurcation trees of periodic motions to chaos cannot be achieved analytically. The author has ...

Toward Analytical Chaos in Nonlinear Systems 2014, John Wiley & Sons Inc, New York

ISBN-13: 9781118658611

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