Open AccessCONTROLLING OF THE INSTABILITY OF-CHAOTIC MOTION IN AN ION CLOUD
Author(s) -
Hai Wang,
YuanWen Duan,
Xiwen Zhu,
Lei Shi,
Xueli Luo,
He Chun-Shan
Publication year - 1997
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.46.2117
Subject(s) - instability , chaotic , attractor , physics , motion (physics) , ion , mechanics , stability (learning theory) , field (mathematics) , statistical physics , classical mechanics , computer science , mathematical analysis , quantum mechanics , mathematics , artificial intelligence , machine learning , pure mathematics
Interaction between the detecting field and the ion cloud in an actual Paul trap is described by the Duffing equation.For small damping,the unstable periodic solutions embedded in chaotic attractor and their stability conditions are obtained.Theoretical analysis reveals that the instability of chaotic motion can be controlled by adjusting the control parameters to fit the conditions.Excellent agreement is found between the analytical results and experimental data.