一类两种群随机生态系统的稳定性

利用构造广义二次三项式作为随机李雅普诺夫函数的方法讨论了两种群随机Volterra生态系统的全局渐近稳定性，并对一类特殊情形给出了全局渐近稳定性的充分判据，推广了常微系统已有结果．     

GENERALIZED BIHARMONIC OPERATOR AND ITS APPLICATION TO THE BENDING OF ELASTIC THIN PLATES

ＧＥＮＥＲＡＬＩＺＥＤＢＩＨＡＲＭＯＮＩＣＯＰＥＲＡＴＯＲＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮＴＯＴＨＥＢＥＮＤＩＮＧＯＦＥＬＡＳＴＩＣＴＨＩＮＰＬＡＴＥＳＹｕＺｈｏｎｅｔｔ－ｚｈｉ（俞中直）（Ｄｅｐｔ．ｏｆＥｎｇ．Ｍｅｃｈａｎｉｃｓ,ＤａｌｉａｎＵｎ...     

Elliptic Function Waves of Spinor Bose-Einstein Condensates in an Optical Lattice

An improved nonlinear Schrodinger equation different from usual one of spinor Bose-Einstein condensates （BECs） in an optical lattice are obtained by taking into account a nonlinear term in the equation of motion for probability amplitude of spins carefully. The elliptic function wave solutions of the model are found under specific boundary condition, for example, the two ends of the atomic chain are fixed. In the case of limit the elliptic function wave solutions are reduced into spin-wave-like or solitons.