| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758931 | Communications in Nonlinear Science and Numerical Simulation | 2010 | 5 Pages |
Abstract
The behaviour of the Lyapunov exponent near the transition to chaos via type-III intermittency is numerically determined for a generic map showing this transition. A critical exponent ββ 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<10<β<1. This extends earlier predictions for the scaling behaviour of the Lyapunov exponent in type-III intermittency.
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Authors
M.G. Cosenza, O. Alvarez-Llamoza, G.A. Ponce,