Algorithms for controlling chaotic motion: application for the BVP oscillator

Abstract

The BVP oscillator is a biologically and physically important dynamical system exhibiting chaotic motion, phaselocking phenomenon and so on. In this paper we investigate the controlling of chaos in this system both when periodic and constant currents are present. We use the various control algorithms and investigate their effectiveness. In particular we study the controlling by the following mechanisms: (i) adaptive control algorithm; (ii) weak periodic perturbations; (iii) Ott-Grebogi-Yorke method; (iv) weak feedback control and (v) addition of noise. Also, we show the suppression of chaos by numerical models.