scholarly journals Multiplicity results for a class of asymmetric weakly coupled systems of second-order ordinary differential equations

2005 ◽  
Vol 2005 (2) ◽  
pp. 702485 ◽  
Author(s):  
Francesca Dalbono ◽  
PJ McKenna
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Coupled Systems ◽  
Multiplicity Results ◽  
Weakly Coupled ◽  
Weakly Coupled Systems

scholarly journals Periodic perturbations of Hamiltonian systems

2016 ◽  
Vol 5 (4) ◽  
Author(s):  
Alessandro Fonda ◽  
Maurizio Garrione ◽  
Paolo Gidoni
Keyword(s):  
Fixed Point ◽  
Hamiltonian Systems ◽  
Coupled Systems ◽  
Multiplicity Results ◽  
Periodic Perturbations ◽  
Existence And Multiplicity ◽  
Weakly Coupled ◽  
Higher Dimensional ◽  
Dimensional Version ◽  
Weakly Coupled Systems

AbstractWe prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem. The first part of the paper deals with periodic perturbations of a completely integrable system, while in the second part we focus on some suitable global conditions, so to deal with weakly coupled systems.

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