Periodic Solutions of Symmetric Elliptic Singular Systems

2005 ◽  
Vol 5 (2) ◽  
Author(s):  
Flaviano Battelli ◽  
Michal Fečkan
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Singular Systems ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Restoring Force ◽  
Symmetry Properties ◽  
Perturbed Systems ◽  
Existence Of Periodic Solutions

AbstractWe show the existence of periodic solutions of certain singularly perturbed systems having symmetry properties. Our results apply to some singular systems arising in the study of Hamiltonian systems with a strong restoring force.

Periodic Solutions of Symmetric Elliptic Singular Systems: the Higher Codimension Case

2006 ◽  
Vol 6 (1) ◽  
Author(s):  
Flaviano Battelli ◽  
Michal Fečkan
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Singular Systems ◽  
Singularly Perturbed ◽  
Singularly Perturbed Systems ◽  
Restoring Force ◽  
Symmetry Properties ◽  
Perturbed Systems ◽  
Existence Of Periodic Solutions

AbstractWe show the existence of periodic solutions of certain singularly perturbed systems having symmetry properties. Our result applies to some singular systems arising in the study of Hamiltonian systems with a strong restoring force and extends to a higher codimension the result obtained in our previous paper [4].

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