Amplitude Control of Limit Cycle in Chua System
The control of amplitude of limit cycle emerging from the Hopf bifurcation in Chua system under a nonlinear feedback controller is investigated in this paper, Explicit nonlinear control formulae and amplitude approximations in terms of control gains derived from the center manifold theory and normal form reduction present a convenient approach to obtain an effective analytical control and predict the amplitude of limit cycles in Chua system. The calculating simulations indicate that the approximate solutions are in good agreement with the numerical solutions.
Liangchi Zhang, Chunliang Zhang and Zichen Chen
F. L. Xu and S. H. Liu, "Amplitude Control of Limit Cycle in Chua System", Advanced Materials Research, Vols. 328-330, pp. 2079-2085, 2011