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Abstract: In
view of the chaotic motion happening in some parameter space of system
of a gear pair with clearance nonlinearity, the OGY(Ott-Grebogi-Yorke)
chaos control method is used to stabilize the unstable periodic orbits
which embedded in the chaotic attractor in two ways. Aiming at the
limitation of classical OGY method which can only apply to discrete
dynamical system, one is to make use of the motion equation and its
variational form to apply the OGY method directly in periodically
excited time-continuous system according to the theory of system
dynamics. For the situation that the motion equation is not available,
another method is to construct time series of system’s stroboscopic
section data, from which the unstable periodic orbits and necessary
information for estimating the parameter perturbation can be determined.
The control effects of the two methods are compared through numerical
simulation.
Key
words: Gear
system Nonlinear dynamics Chaos control Ott-Grebogi-Yorke method
CLC No: TH113
国家自然科学基金资助项目(50075070).
Received 20041214, received in revised form 20050401
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