Scaling of the Lyapunov exponent in type-III intermittent chaos
Abstract
The scaling behaviour of the Lyapunov exponent near the transition to chaos via type-III intermittency is determined for a generic map. A critical exponent β expressing the scaling of the Lyapunov exponent as a function of both, the reinjection probability and the nonlinearity of the map is calculated. It is found that the critical exponent varies on the interval 0 < β < 1. This contrasts with earlier predictions for the scaling behaviour of the Lyapunov exponent in type-III intermittency.
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