ROBUST NONHYPERBOLIC DYNAMICS AND HETERODIMENSIONAL CYCLES

被引：63
作者：
DIAZ, LJ [1 ]
机构：
[1] PONTIFICIA UNIV CATOLICA RIO DE JANEIRO,DEPT MATEMAT,BR-22453 RIO JANEIRO,BRAZIL
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1995年 / 15卷
关键词：
D O I：
10.1017/S0143385700008385
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe an open set A of arcs of diffeomorphisms bifurcating through the creation of heterodimensional cycles for which every diffeomorphism after the bifurcation is nonhyperbolic or unstable. We also prove that generically in A the borning nonwandering set is transitive and local maximal for a full (Lebesgue) set of parameter values.
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页码：291 / 315
页数：25
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