index iteration
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Index Iteration Theory for Brake Orbit Type Solutions and Applications

Analysis in Theory and Applications ◽

10.4208/ata.2021.pr80.05 ◽

2021 ◽

Vol 37 (2) ◽

pp. 129-156

Author(s):

global sci

Keyword(s):

Iteration Theory ◽

Orbit Type ◽

Index Iteration

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Index iteration theories for periodic orbits: Old and new

Nonlinear Analysis ◽

10.1016/j.na.2020.111999 ◽

2020 ◽

Vol 201 ◽

pp. 111999

Author(s):

Huagui Duan ◽

Yiming Long ◽

Chaofeng Zhu

Keyword(s):

Periodic Orbits ◽

Index Iteration

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EQUIVARIANT SYMPLECTIC HOMOLOGY AND MULTIPLE CLOSED REEB ORBITS

International Journal of Mathematics ◽

10.1142/s0129167x13500961 ◽

2013 ◽

Vol 24 (13) ◽

pp. 1350096 ◽

Cited By ~ 4

Author(s):

JUNGSOO KANG

Keyword(s):

Contact Manifolds ◽

Symplectic Homology ◽

Iteration Formula ◽

Index Iteration

We study the existence of multiple closed Reeb orbits on some contact manifolds by means of S1-equivariant symplectic homology and the index iteration formula. We prove that a certain class of contact manifolds which admits displaceable exact contact embeddings, a certain class of prequantization bundles, and Brieskorn spheres have multiple closed Reeb orbits.

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