Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications
2013
Session Number:A4L-C
Session:
Number:158
Controlling Method to Avoid Bifurcations of Periodic Points Using Maximum Lyapunov Exponent
Ken'ichi Fujimoto, Tomohiro Otsu, Tetsuya Yoshinaga, Tetsushi Ueta, Hiroyuki Kitajima, Kazuyuki Aihara,
pp.158-161
Publication Date:
Online ISSN:2188-5079
[1] G. Chen, J. L. Moiola, and H. O. Wang, “Bifurcation Control: Theories, Methods, and Applications”, Int. J. Bifurcation Chaos, vol.10, pp.511-548, 2000.
[2] A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, “Determining Lyapunov exponents from a time series”, Physica D, vol.16, pp.285-317, 1985.
[3] G. Chen and D. Lai, “Feedback control of Lyapunov exponents for discrete-time dynamical systems”, Int. J. Bifurcation Chaos, vol.6, pp.1341-1349, 1996.
[4] H. Kawakami, “Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters”, IEEE Trans. Circuits Syst., vol.31, pp.248-260, 1984.