An extension of the Poincaré-Fermi theorem on the nonexistence of invariant manifolds in nearly integrable Hamiltonian systems

1982 ◽  
Vol 72 (2) ◽  
pp. 137-148 ◽  
Author(s):  
G. Benettin ◽  
G. Ferrari ◽  
L. Galgani ◽  
A. Giorgilli
Keyword(s):  
Hamiltonian Systems ◽  
Invariant Manifolds ◽  
Integrable Hamiltonian Systems ◽  
Nearly Integrable Hamiltonian Systems

Homoclinic orbits for invariant tori of nearly integrable Hamiltonian systems

2006 ◽  
Vol 73 (2) ◽  
pp. 217-220
Author(s):  
O. Yu. Koltsova ◽  
L. M. Lerman ◽  
A. Delshams ◽  
P. Gutiérrez
Keyword(s):  
Hamiltonian Systems ◽  
Invariant Tori ◽  
Homoclinic Orbits ◽  
Integrable Hamiltonian Systems ◽  
Nearly Integrable Hamiltonian Systems
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