English

Scaling of the Lyapunov exponent in type-III intermittent chaos

Chaotic Dynamics 2007-10-02 v1

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\beta 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 < \beta < 1. This contrasts with earlier predictions for the scaling behaviour of the Lyapunov exponent in type-III intermittency.

Keywords

Cite

@article{arxiv.0710.0184,
  title  = {Scaling of the Lyapunov exponent in type-III intermittent chaos},
  author = {M. G. Cosenza and O. Alvarez-Llamoza and G. A. Ponce},
  journal= {arXiv preprint arXiv:0710.0184},
  year   = {2007}
}

Comments

4 pages, 5 Figs, Submitted to IJBC