Entrained, Harmonic, Quasiperiodic and Chaotic Responses of the Self-Sustained Oscillation of Nitella to Sinusoidal Stimulation

Abstract

The response of the self-sustained oscillation of the Nitella internodal cell to the sinusoidal stimulation was investigated. The phase diagram was made up from power spectra and stroboscopic representation; there exist entrained, harmonic, quasiperiodic and chaotic oscillations. The stroboscopic mapping of the chaotic oscillation forms a strange attractor and the stroboscopic transition function admits period three. This indicates that there exists chaotic behavior assured by the Li-Yorke theorem.