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Global Analysis of Nonlinear Time-Delayed Dynamical Systems

[+] Author Affiliations
Jian-Qiao Sun, Bo Song

University of California, Merced, CA

Jie Yang

China University of Geosciences, Wuhan, Hubei, China

Paper No. DETC2011-48069, pp. 631-635; 5 pages
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5478-5
  • Copyright © 2011 by ASME


Time-delayed dynamical systems are defined in an infinite dimensional state-space. When the system has multiple stable steady-state responses, the global analysis of the system such as finding the domains of attraction and boundary basin has to be done in the infinite dimensional state-space. This paper examines this issue and shows that there are rich opportunities for global analysis research of nonlinear time-delayed dynamical systems.

Copyright © 2011 by ASME
Topics: Dynamic systems



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