湖南工业大学学报
湖南工業大學學報
호남공업대학학보
JOURNAL OF HUNAN UNIVERSITY OF TECHNOLOGY
2011年
4期
13-18
,共6页
玻色一爱因斯坦凝聚%斜光格子%Melnikov混沌%混沌控制
玻色一愛因斯坦凝聚%斜光格子%Melnikov混沌%混沌控製
파색일애인사탄응취%사광격자%Melnikov혼돈%혼돈공제
Bose-Einstein condensate%titled optical lattices%Melnikov chaos%control chaos
研究了斜光格子中玻色一爱因斯坦凝聚的混沌特征，利用直接微扰法获得了Gross-Pitaevskii方程的微扰解。理论解析表明：这个微扰解是混沌解，因为它满足Melnikov混沌判据，此结果意味该系统存在混沌行为，而相应的数值模拟结果印证了其理论结果。然而，系统的混沌可以通过调节系统参数或改变初始条件加以控制，由此表明，系统参数或初始条件在控制混沌中扮演了非常重要的角色。
研究瞭斜光格子中玻色一愛因斯坦凝聚的混沌特徵，利用直接微擾法穫得瞭Gross-Pitaevskii方程的微擾解。理論解析錶明：這箇微擾解是混沌解，因為它滿足Melnikov混沌判據，此結果意味該繫統存在混沌行為，而相應的數值模擬結果印證瞭其理論結果。然而，繫統的混沌可以通過調節繫統參數或改變初始條件加以控製，由此錶明，繫統參數或初始條件在控製混沌中扮縯瞭非常重要的角色。
연구료사광격자중파색일애인사탄응취적혼돈특정，이용직접미우법획득료Gross-Pitaevskii방정적미우해。이론해석표명：저개미우해시혼돈해，인위타만족Melnikov혼돈판거，차결과의미해계통존재혼돈행위，이상응적수치모의결과인증료기이론결과。연이，계통적혼돈가이통과조절계통삼수혹개변초시조건가이공제，유차표명，계통삼수혹초시조건재공제혼돈중분연료비상중요적각색。
The chaotic character of a Bose-Einstein condensate in titled optical lattices is investigated. A perturbation solution of the Gross-Pitaevskii equation is obtained by using the direct perturbation method. Theoretical analysis reveals that the perturbation solution is chaotic one because it satisfies the Melnikov chaos criterion, which indicates the system existing chaotic behavior. The corresponding numerical simulation results confirm the theoretical results. However, the chaos of the system can be controlled by adjusting the system parameters or changing the initial conditions, which shows the system parameters or the initial cond.itions play a very important role in control chaos.
