Open AccessWave function fractal dimensions for the periodically kicked free top
Author(s) -
Jie Zhou,
Yang Shuang-Bo
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.220507
Subject(s) - fractal , fractal dimension , chaotic , fractal dimension on networks , phase space , fractal landscape , physics , dimension (graph theory) , function (biology) , correlation dimension , fractal derivative , phase (matter) , mathematical analysis , space (punctuation) , motion (physics) , statistical physics , classical mechanics , mathematics , fractal analysis , quantum mechanics , pure mathematics , computer science , artificial intelligence , evolutionary biology , biology , operating system
In this paper we study the fractal dimensions of wave function for the periodically kicked free top. We find that when kicking strength coefficient is less than or equal to 1 (≤ 1), the motion in classical phase space is regular, the fractal dimension is about 1, and as kicking strength increases, the motion in classical phase space becomes chaotic and the fractal dimension also increases. And we also find that when kicking strength is greater than or equal to 6 (≥ 6), the phase space becomes completely chaotic, the fractal dimension reaches its maximum value 1.5 and will keep this value.