multiple coexisting attractors and hysteresis in the generalized ueda oscillator

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ID: 209111
2013
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Abstract
A periodically forced nonlinear oscillator called the generalized Ueda oscillator is proposed. The restoring force term of this equation consists of a nonlinear function sgn(x) 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.
Reference Key
sun2013mathematicalmultiple Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Kehui Sun;A Di-li Duo Li-kun;Yanqing Dong;Huihai Wang;Ke Zhong
Journal journal of power sources
Year 2013
DOI
10.1155/2013/256092
URL
http://dx.doi.org/10.1155/2013/256092
Keywords
civil engineering (general)mathematics engineering (general)

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