Academic Paper
Ken'ichi Fujimoto, Tomohiro Otsu, Hiroyuki Kitajima, Tetsushi Ueta, Control Technique of Maximum Local Lyapunov Exponent on Stable Periodic Solution in Continuous-Time Non-Autonomous Dynamical Systems, International Journal of Computing Communication and Instrumentation Engineering, Vol.3, No.2, 349-353, July 2016.
Abstract: We previously proposed a parametric controller to avoid undesirable bifurcations of stable fixed and periodic points in discrete-time dynamical systems. The parameter regulation is derived from an optimization problem on the maximum local Lyapunov exponent and a method of steepest descent. In this paper, on the basis of the ideas and a stroboscopic mapping that transforms the trajectory of a continuous-time periodic solution into a sequence of points, we propose a technique to control the maximum local Lyapunov exponent on stable periodic oscillations in continuous-time non-autonomous dynamical systems.