The Lyapunov exponents of generic zero divergence three-dimensional vector fields
2007 ◽
Vol 27
(5)
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pp. 1445-1472
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Keyword(s):
AbstractWe prove that for a C1-generic (dense Gδ) subset of all the conservative vector fields on three-dimensional compact manifolds without singularities, we have for Lebesgue almost every (a.e.) point p∈M that either the Lyapunov exponents at p are zero or X is an Anosov vector field. Then we prove that for a C1-dense subset of all the conservative vector fields on three-dimensional compact manifolds, we have for Lebesgue a.e. p∈M that either the Lyapunov exponents at p are zero or p belongs to a compact invariant set with dominated splitting for the linear Poincaré flow.
2007 ◽
Vol 27
(5)
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pp. 1399-1417
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2003 ◽
Vol 13
(03)
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pp. 553-570
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2009 ◽
Vol 30
(2)
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pp. 339-359
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Keyword(s):
2015 ◽
Vol 12
(10)
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pp. 1550111
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Keyword(s):
2017 ◽
Vol 27
(14)
◽
pp. 1750224
Keyword(s):