Non-existence of invariant circles
1984 ◽
Vol 4
(2)
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pp. 301-309
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Keyword(s):
AbstractThe dynamical system associated to the difference equationhas been studied numerically by several authors. On the basis of numerical evidence, they conclude that there exists a numberk0≈ 0.97 such that there are homotopically non-trivial invariant circles for |k|≤k0and there are none for |k|>k0. In this note, we give a simple rigorous proof that there are none for |k|>.
1917 ◽
Vol 36
◽
pp. 40-60
1920 ◽
Vol 39
◽
pp. 58-62
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Keyword(s):
1949 ◽
Vol 45
(2)
◽
pp. 194-206
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1967 ◽
Vol 7
(2)
◽
pp. 141-144
Keyword(s):
1984 ◽
Vol 25
(4)
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pp. 451-462
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1985 ◽
Vol 26
(4)
◽
pp. 430-451
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1985 ◽
Vol 27
(2)
◽
pp. 145-166
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1992 ◽
Vol 121
(1-2)
◽
pp. 169-183
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