Category:    Electrical Engineering     Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems free ebook download

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Author(s): Siyuan Xing, Albert C. J. Luo Date: 2020-09-11 Format: pdf Language: English ISBN/ASIN: 1681739445 Pages: 87 OCR: Quality: ISBN13: Uploader: maveriks Upload Date: 4/7/2021 5:16:17 PM     To download click on link in the Links Table below                                                                        Description: Click to see full description In this book, the global sequential scenario of bifurcation trees of periodic motions to chaos in nonlinear dynamical systems is presented for a better understanding of global behaviors and motion transitions for one periodic motion to another one. A 1-dimensional (1-D), time-delayed, nonlinear dynamical system is considered as an example to show how to determine the global sequential scenarios of the bifurcation trees of periodic motions to chaos. All stable and unstable periodic motions on the bifurcation trees can be determined. Especially, the unstable periodic motions on the bifurcation trees cannot be achieved from the traditional analytical methods, and such unstable periodic motions and chaos can be obtained through a specific control strategy. The sequential periodic motions in such a 1-D time-delayed system are achieved semi-analytically, and the corresponding stability and bifurcations are determined by eigenvalue analysis. Each bifurcation tree of a specific periodic motion to chaos are presented in detail. The bifurcation tree appearance and vanishing are determined by the saddle-node bifurcation, and the cascaded period-doubled periodic solutions are determined by the period-doubling bifurcation. From finite Fourier series, harmonic amplitude and harmonic phases for periodic motions on the global bifurcation tree are obtained for frequency analysis. Numerical illustrations of periodic motions are given for complex periodic motions in global bifurcation trees. The rich dynamics of the 1-D, delayed, nonlinear dynamical system is presented. Such global sequential periodic motions to chaos exist in nonlinear dynamical systems. The frequency-amplitude analysis can be used for re-construction of analytical expression of periodic motions, which can be used for motion control in dynamical systems. Links Table     Title Link Password Size (MB) Thank to Inform Admin Del 2991503 Book https://nitroflare.com/view/3EC6276B6CF6...   0.00 maveriks X Title Link Password Size Reason Dead link New format   Those who downloaded this book also downloaded the following books: Comments New comment:

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