Versions of the closing lemma for certain dynamical systems on tori

2003 ◽  
Vol 4 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Samuil Aranson ◽  
Mikhail Malkin ◽  
Vladislav Medvedev ◽  
Evgeny Zhuzhoma
Keyword(s):  
Dynamical Systems ◽  
Closing Lemma

Strengthening theC t -closing lemma for dynamical systems and foliations on the torus

1997 ◽  
Vol 61 (3) ◽  
pp. 265-271
Author(s):  
S. Kh. Aranson ◽  
E. V. Zhuzhoma ◽  
V. S. Medvedev
Keyword(s):  
Dynamical Systems ◽  
Closing Lemma

scholarly journals The C1 Closing Lemma, including Hamiltonians

1983 ◽  
Vol 3 (2) ◽  
pp. 261-313 ◽  
Author(s):  
Charles C. Pugh ◽  
Clark Robinson
Keyword(s):  
Dynamical Systems ◽  
Vector Fields ◽  
Hamiltonian Vector ◽  
Closing Lemma ◽  
Hamiltonian Vector Fields

AbstractAn Axiom of Lift for classes of dynamical systems is formulated. It is shown to imply the Closing Lemma. The Lift Axiom is then verified for dynamical systems ranging from C1 diffeomorphisms to C1 Hamiltonian vector fields.

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