Paar V, Pavin N
Department of Physics, Faculty of Science, University of Zagreb, Zagreb, Croatia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036222. doi: 10.1103/PhysRevE.68.036222. Epub 2003 Sep 30.
Maxima of mean transient time versus driving amplitude were found for weakly dissipated Duffing oscillator. In the neighborhood of peak of mean transient time an approximate power-law dependence was found. This behavior was compared with scaling in the vicinity of crisis point and interpreted as crossing of two neighboring crisis points which appears with decrease of driving amplitude. At this point chaotic attractor was destroyed and chaotic transient, exhibiting a maximum in the lifetime was borned. It was shown that the peak of mean lifetime has a regular behavior described by quadratic function.
对于弱耗散杜芬振子，发现了平均瞬态时间与驱动振幅的最大值。在平均瞬态时间峰值附近，发现了近似的幂律依赖关系。将这种行为与临界点附近的标度进行了比较，并解释为随着驱动振幅减小出现的两个相邻临界点的交叉。此时，混沌吸引子被破坏，产生了具有最大寿命的混沌瞬态。结果表明，平均寿命的峰值具有由二次函数描述的规则行为。
