Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system.

Khovanov, I. A. and Khovanova, N. A. and Anishchenko, V. S. and McClintock, Peter V. E. (2000) Sensitivity to initial conditions and Lyapunov exponent of a quasiperiodic system. Technical Physics, 45 (5). pp. 633-635. ISSN 1063-7842

Abstract

The dynamics of a quasiperiodic map is analysed both in the presence and in the absence of weak noise. it is shown that, in the presence of weak noise, a strange chaotic attractor with a negative Lyapunov exponent and sensitive dependence on initial conditions can exist in the system. This means that the type of motion of a fluctuating system cannot be classified only by the sign of the leading Lyapunov exponent.