Symplectic diffeomorphisms and the flux homomorphism

1984 ◽  
Vol 77 (2) ◽  
pp. 353-366 ◽  
Author(s):  
Dusa McDuff
Keyword(s):  
Symplectic Diffeomorphisms ◽  
Flux Homomorphism

scholarly journals C1-Genericity of symplectic diffeomorphisms and lower bounds for topological entropy

2017 ◽  
Vol 32 (4) ◽  
pp. 461-489 ◽  
Author(s):  
Thiago Catalan ◽  
Vanderlei Horita
Keyword(s):  
Topological Entropy ◽  
Lower Bounds ◽  
Symplectic Diffeomorphisms

scholarly journals A cocycle on the group of symplectic diffeomorphisms

2011 ◽  
Vol 11 (1) ◽  
Author(s):  
Światosław R. Gal ◽  
Jarek Kędra
Keyword(s):  
Symplectic Diffeomorphisms

scholarly journals ACrclosing lemma for a class of symplectic diffeomorphisms

Nonlinearity ◽  
2006 ◽  
Vol 19 (2) ◽  
pp. 511-516 ◽  
Author(s):  
Zhihong Xia ◽  
Hua Zhang
Keyword(s):  
Symplectic Diffeomorphisms

scholarly journals Symplectic diffeomorphisms with inverse shadowing

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Manseob Lee
Keyword(s):  
Symplectic Diffeomorphisms ◽  
Inverse Shadowing

scholarly journals On the generic existence of homoclinic points

1987 ◽  
Vol 7 (4) ◽  
pp. 567-595 ◽  
Author(s):  
Fernando Oliveira
Keyword(s):  
Periodic Point ◽  
Invariant Manifolds ◽  
Compact Manifolds ◽  
Homoclinic Points ◽  
Symplectic Diffeomorphisms ◽  
Generic Existence ◽  
Area Preserving ◽  
Orientable Surfaces

AbstractThis work is concerned with the generic existence of homoclinic points for area preserving diffeomorphisms of compact orientable surfaces. We give a shorter proof of Pixton's theorem that shows that, Cr-generically, an area preserving diffeomorphism of the two sphere has the property that every hyperbolic periodic point has transverse homoclinic points. Then, we extend Pixton's result to the torus and investigate certain generic aspects of the accumulation of the invariant manifolds all over themselves in the case of symplectic diffeomorphisms of compact manifolds.

scholarly journals Relative flux homomorphism in symplectic geometry

2004 ◽  
Vol 133 (4) ◽  
pp. 1223-1230
Author(s):  
Yildiray Ozan
Keyword(s):  
Symplectic Geometry ◽  
Flux Homomorphism

SYMPLECTIC DIFFEOMORPHISMS WITH ORBITAL SHADOWING

2012 ◽  
Vol 25 (4) ◽  
pp. 739-745 ◽  
Author(s):  
Keonhee Lee ◽  
Manseob Lee
Keyword(s):  
Symplectic Diffeomorphisms ◽  
Orbital Shadowing
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