Non-existence of invariant circles

Hamiltonian Dynamical Systems ◽

10.1201/9781003069515-19 ◽

2020 ◽

pp. 395-403

Author(s):

John N. Mather

Keyword(s):

Invariant Circles

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Non-twist invariant circles in conformally symplectic systems

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.105695 ◽

2021 ◽

Vol 96 ◽

pp. 105695

Author(s):

Renato Calleja ◽

Marta Canadell ◽

Alex Haro

Keyword(s):

Invariant Circles

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Existence, nonexistence and universal breakdown of dissipative golden invariant tori. III. Invariant circles for mappings of the annulus

Nonlinearity ◽

10.1088/0951-7715/5/3/004 ◽

1992 ◽

Vol 5 (3) ◽

pp. 681-706 ◽

Cited By ~ 4

Author(s):

D A Rand

Keyword(s):

Invariant Tori ◽

Invariant Circles

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New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps

Nonlinearity ◽

10.1088/0951-7715/3/3/002 ◽

1990 ◽

Vol 3 (3) ◽

pp. 567-584 ◽

Cited By ~ 11

Author(s):

J Wilbrink

Keyword(s):

Fixed Point ◽

Invariant Circles

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Invariant circles and rotation bands in monotone twist maps

Communications in Mathematical Physics ◽

10.1007/bf01221397 ◽

1987 ◽

Vol 113 (1) ◽

pp. 67-77 ◽

Cited By ~ 6

Author(s):

Philip L. Boyland

Keyword(s):

Invariant Circles ◽

Twist Maps

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Invariant circles for the piecewise linear standard map

Communications in Mathematical Physics ◽

10.1007/bf01209394 ◽

1986 ◽

Vol 107 (2) ◽

pp. 241-262 ◽

Cited By ~ 47

Author(s):

Shaun Bullett

Keyword(s):

Piecewise Linear ◽

Standard Map ◽

Invariant Circles

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A bound for the existence of invariant circles in a class of two-dimensional dissipative maps

Physics Letters A ◽

10.1016/0375-9601(84)90018-5 ◽

1984 ◽

Vol 104 (9) ◽

pp. 441-443 ◽

Cited By ~ 4

Author(s):

Tomas Bohr

Keyword(s):

Two Dimensional ◽

Invariant Circles

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The Invariant Circles of a Bilinear Transformation

The Mathematical Gazette ◽

10.2307/3609770 ◽

1954 ◽

Vol 38 (323) ◽

pp. 26

Author(s):

M. P. Drazin

Keyword(s):

Bilinear Transformation ◽

Invariant Circles

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An exhaustive criterion for the non-existence of invariant circles for area-preserving twist maps

Communications in Mathematical Physics ◽

10.1007/bf01223588 ◽

1988 ◽

Vol 117 (2) ◽

pp. 177-189 ◽

Cited By ~ 11

Author(s):

J. Stark

Keyword(s):

Invariant Circles ◽

Twist Maps ◽

Area Preserving

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Motion/Pursuit Law on Invariant Circles (Visual Depth Perception 4)

Wolfram Demonstrations Project ◽

10.3840/08004228 ◽

2008 ◽

Keyword(s):

Depth Perception ◽

Visual Depth ◽

Invariant Circles

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A New Computable Criterion for the Non-Existence of Invariant Circles

Springer Proceedings in Physics - Fluctuations and Sensitivity in Nonequilibrium Systems ◽

10.1007/978-3-642-46508-6_33 ◽

1984 ◽

pp. 260-264

Author(s):

W. Chou

Keyword(s):

Invariant Circles

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