By Albert C. J. Luo
Exact analytical options to periodic motions in nonlinear dynamical structures are virtually impossible. because the 18th century, one has broadly used concepts equivalent to perturbation how you can receive approximate analytical suggestions of periodic motions in nonlinear platforms. notwithstanding, the perturbation equipment can't give you the adequate accuracy of analytical options of periodic motions in nonlinear dynamical structures. So the bifurcation timber of periodic motions to chaos can't be completed analytically. the writer has constructed an analytical approach that's more beneficial to accomplish periodic motions and corresponding bifurcation bushes to chaos analytically.
Toward Analytical Chaos in Nonlinear Systems systematically offers a brand new method of analytically be certain periodic flows to chaos or quasi-periodic flows in nonlinear dynamical platforms with/without time-delay. It covers the mathematical conception and contains examples of nonlinear structures with/without time-delay in engineering and physics. From the analytical options, the routes from periodic motions to chaos are built analytically instead of the unfinished numerical routes to chaos. The analytical thoughts provided will offer a greater figuring out of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems.
- Presents the mathematical concept of analytical options of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems
- Covers nonlinear dynamical structures and nonlinear vibration systems
- Presents actual, analytical ideas of good and volatile periodic flows for well known nonlinear systems
- Includes whole pattern systems
- Discusses time-delayed, nonlinear platforms and time-delayed, nonlinear vibrational systems
- Includes genuine global examples
Toward Analytical Chaos in Nonlinear Systems is a entire 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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Toward Analytical Chaos in Nonlinear Systems by Albert C. J. Luo