TY - JOUR
T1 - Making a discrete dynamical system chaotic
T2 - Theoretical results and numerical simulations
AU - Lai, Dejian
AU - Chen, Guanrong
PY - 2003/11
Y1 - 2003/11
N2 - 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.
AB - 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.
KW - Chaotification
KW - Feedback control
KW - Lyapunov exponents
KW - Random perturbation
UR - http://www.scopus.com/inward/record.url?scp=1442335934&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-1442335934&origin=recordpage
U2 - 10.1142/S0218127403008648
DO - 10.1142/S0218127403008648
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 13
SP - 3437
EP - 3442
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 11
ER -