A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM

被引：0
作者：
FOMENKO, AT
SISHANG, KT
机构：
来源：
MATHEMATICS OF THE USSR-IZVESTIYA | 1990年 / 54卷 / 03期
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new topological invariant is constructed which classifies integrable Hamiltonian systems with two degrees of freedom (admitting a Bott integral). A criterion for the equivalence of Bott systems is proved: such systems are topologically equivalent if and only if their topological invariants coincide. The topological invariant is effectively calculated for specific integrable Hamiltonian systems in physics and mechanics.
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页码：567 / 596
页数：30
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