Making a discrete dynamical system chaotic : Theoretical results and numerical simulations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 3437-3442 |
Journal / Publication | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
Volume | 13 |
Issue number | 11 |
Publication status | Published - Nov 2003 |
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Abstract
In this paper, we study state-feedback controller design for controlling the Lyapunov exponents of an n-dimensional dynamical system. We examine some theoretical results and perform numerical simulations for systems with and without noise influence. The controlled Lyapunov exponents are asymptotically normally distributed if the system has noisy inputs. Computer simulations on finite samples are all consistent with the theoretical results.
Research Area(s)
- Chaotification, Feedback control, Lyapunov exponents, Random perturbation
Citation Format(s)
Making a discrete dynamical system chaotic : Theoretical results and numerical simulations. / Lai, Dejian; Chen, Guanrong.
In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 13, No. 11, 11.2003, p. 3437-3442.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review