By Albert C. J. Luo
Exact analytical suggestions to periodic motions in nonlinear dynamical platforms are virtually impossible. because the 18th century, one has widely used suggestions similar to perturbation ways to receive approximate analytical options of periodic motions in nonlinear structures. even if, the perturbation tools can't give you the sufficient accuracy of analytical ideas of periodic motions in nonlinear dynamical structures. So the bifurcation bushes of periodic motions to chaos can't be completed analytically. the writer has constructed an analytical strategy that's more beneficial to accomplish periodic motions and corresponding bifurcation bushes to chaos analytically.
Toward Analytical Chaos in Nonlinear Systems systematically provides a brand new method of analytically be certain periodic flows to chaos or quasi-periodic flows in nonlinear dynamical structures with/without time-delay. It covers the mathematical thought and contains examples of nonlinear structures with/without time-delay in engineering and physics. From the analytical ideas, the routes from periodic motions to chaos are constructed analytically instead of the unfinished numerical routes to chaos. The analytical options offered will offer a greater figuring out of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems.
- Presents the mathematical thought of analytical ideas of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems
- Covers nonlinear dynamical platforms and nonlinear vibration systems
- Presents actual, analytical ideas of solid and risky periodic flows for renowned nonlinear systems
- Includes entire pattern systems
- Discusses time-delayed, nonlinear platforms and time-delayed, nonlinear vibrational systems
- Includes actual international examples
Toward Analytical Chaos in Nonlinear Systems is a accomplished 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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