Controlling chaos by a modified straight-line stabilization method
Graduate School, China Academy of Engineering Physics, PO Box 2101, Beijing 100088, PR China
2 Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, PO Box 8009-28, Beijing 100088, PR China
Corresponding author: a email@example.com
Published online: 15 July 2001
By adjusting external control signal, rather than some available parameters of the system, we modify the straight-line stabilization method for stabilizing an unstable periodic orbit in a neighborhood of an unstable fixed point formulated by Ling Yang et al., and derive a more simple analytical expression of the external control signal adjustment. Our technique solves the problem that the unstable fixed point is independent of the system parameters, for which the original straight-line stabilization method is not suitable. The method is valid for controlling dissipative chaos, Hamiltonian chaos and hyperchaos, and may be most useful for the systems in which it may be difficult to find an accessible system parameter in some cases. The method is robust under the presence of weak external noise.
PACS: 05.45.+a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Gg – Control of chaos, applications of chaos / 05.45.Pq – Numerical simulations of chaotic models
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001