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Classical Dynamics and Quasienergy Spectral Statistics for a Periodically Kicked Free Top(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2013年01期
Page:
48-53
Research Field:
物理学
Publishing date:

Info

Title:
Classical Dynamics and Quasienergy Spectral Statistics for a Periodically Kicked Free Top
Author(s):
Yang Shuangbo; Liu Dake
Jiangsu Key Laboratory for NSLSCS,School of Physics and Technology,Nanjing Normal University,Nanjing 210023,China
Keywords:
free top; quasienergy spectral statistics; phase space; pitchfork bifurcation.
PACS:
O413.1
DOI:
-
Abstract:
This paper studies the classical dynamics and quasienergy spectral statistics for a periodically kicked free top.It is found that at weak kicking strength(λ≤2.0),the motion in classical phase space is regular,the nearest neighbor spacing distribution for the quasienergy levels is approximately Poisson type; and at λ≥2.5,with the pitchfork bifurcation of the fixed points(π/2,0)and(π/2,π),the structure of the phase space becomes more and more complicate until becomes completely chaotic at λ≥6,and then the nearest neighbor spacing distribution for the energy levels changes from Poissonian to Wigner type gradually.We also calculated spectral rigidity,number variance,skewness,excess,and number average.

References:

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Last Update: 2013-03-31