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Mathematical Problems in Engineering
Volume 2013, Article ID 256092, 7 pages
Research Article

Multiple Coexisting Attractors and Hysteresis in the Generalized Ueda Oscillator

1School of Physics Science and Technology, Xinjiang University, Urumqi 830046, China
2School of Physics and Electronics, Central South University, Changsha 410083, China

Received 27 August 2013; Accepted 11 November 2013

Academic Editor: Hai Yu

Copyright © 2013 Kehui Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A periodically forced nonlinear oscillator called the generalized Ueda oscillator is proposed. The restoring force term of this equation consists of a nonlinear function and an absolute function with a variant power. Dynamics is investigated by detailed numerical analysis as well as dynamic simulation, including the largest Lyapunov exponent, phase diagrams, and bifurcation diagrams. Multiple coexisting attractors and complex hysteresis phenomenon are observed. The results show that this system has rich dynamical behaviors, and it has a promising application in the fields of science and engineering.