کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759613 | 896485 | 2012 | 9 صفحه PDF | دانلود رایگان |
In this paper, a new concept of chaos synchronization, which is superior to generalized exponential synchronization, generalized virtual synchronization, and generalized complete synchronization, is firstly introduced and the chaos synchronization of a pair of Duffing–Holmes oscillators with parameter mismatchings, external excitations, and chaotic vibrations is investigated. Based on the time-domain approach with differential inequality, a feedback control is proposed to realize generalized synchronization (generalized exponential synchronization, respectively) for a pair of Duffing–Holmes oscillators without uncertainties (with uncertainties, respectively). In addition, not only the guaranteed exponential convergence rate can be arbitrarily pre-specified but also the critical time can be correctly estimated. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result.
► The concept of a novel synchronization has been introduced.
► A feedback control has been developed to realize generalized synchronization.
► The guaranteed critical time can be correctly estimated.
► The external disturbance and parameter mismatching can be conquered by the control.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 2, February 2012, Pages 496–504