Anomalous oscillations of average transient lifetimes near crises
Krzysztof Kacperski , Janusz Hołyst
AbstractIt is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. It is, however, only a rough trend; in some cases considerable oscillations can be superimposed on it. In this letter we report anomalous oscillations due to the intertwined structure of basins of attraction. We also present a simple geometrical model that gives an estimate of the period and amplitude of these oscillations. The results obtained within the model coincide with those yielded by computer simulations of a kicked spin model and the Henon map.
|Journal series||Applied Physics Letters, ISSN 0003-6951|
|Keywords in English||Nonlinear Sciences - Chaotic Dynamics|
|Publication indicators||: 2006 = 3.977 (2) - 2007=4.068 (5)|
|Citation count*||15 (2018-07-14)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.