Sequential Bifurcation Trees to Chaos in Nonlinear Time-Delay Systems
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 analy…
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Produktdetails
Weitere Autoren: Xing, Siyuan
- ISBN: 978-3-031-79668-5
- EAN: 9783031796685
- Produktnummer: 39048047
- Verlag: Springer International Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2020
- Seitenangabe: 88 S.
- Masse: H23.5 cm x B19.1 cm x D0.5 cm 183 g
- Abbildungen: Paperback
- Gewicht: 183
Über den Autor
Dr. Xing is an assistant professor at California Polytechnic State University. He received a B.S. from Sichuan University in 2013, an M.S. from Southern Illinois University Edwardsville in 2016, and a Ph.D. from Southern Illinois University Carbondale, in 2019. His research interests are in the area of nonlinear dynamics and time-delay systems. Dr. Xing has published 3 book chapters, 13 peer-review journal papers, and 8 conference papers on nonlinear dynamics.Professor Albert C.J. Luo has worked at Southern Illinois University Edwardsville. For over 30 years, Dr. Luos contributions on nonlinear dynamical systems and mechanics lie in: (i) the local singularity theory for discontinuous dynamical systems; (ii) dynamical systems synchronization; (iii) analytical solutions of periodic and chaotic motions in nonlinear dynamical systems; (iv) the theory for stochastic and resonant layer in nonlinear Hamiltonian systems; and (v) the full nonlinear theory for a deformable body. Such contributions have been scattered into 20 monographs and over 300 peer-reviewed journal and conference papers. Dr. Luo has served as an editor for the journal Communications in Nonlinear Science and Numerical Simulation, and book series on Nonlinear Physical Science (HEP) and Nonlinear Systems and Complexity (Springer). Dr. Luo was an editorial member for IMeCh E Part K Journal of Multibody Dynamics and Journal of Vibration and Control; and has also organized over 30 international symposiums and conferences on dynamics and control.
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