Sensitivity to initial conditions and lyapunov exponent of a quasiperiodic system |
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Authors: | I. A. Khovanov N. A. Khovanova V. S. Anishchenko P. W. E. McClintock |
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Affiliation: | (1) Chernyshevsky State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia |
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Abstract: | The dynamics of a quasiperiodic map is analyzed 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 of trajectories on the initial conditions can exist in the system. This means that the types of motion of a fluctuating system cannot be classified only by the sign of the leading Lyapunov exponent. |
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