scholarly journals On the Behavior of Periodic Solutions of Planar Autonomous Hamiltonian Systems with Multivalued Periodic Perturbations

2011 ◽  
pp. 129-144
Author(s):  
Oleg Makarenkov ◽  
Luisa Malaguti ◽  
Paolo Nistri
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Periodic Perturbations

scholarly journals A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems

2021 ◽  
Author(s):  
Christian Fabry ◽  
Alessandro Fonda
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems ◽  
Systematic Approach ◽  
General Setting ◽  
Differential Systems ◽  
Periodic Perturbations ◽  
Existence And Multiplicity

AbstractIn the first part of the paper we consider periodic perturbations of some planar Hamiltonian systems. In a general setting, we detect conditions ensuring the existence and multiplicity of periodic solutions. In the second part, the same ideas are used to deal with some more general planar differential systems.

Three periodic solutions for -Hamiltonian systems

2011 ◽  
Vol 74 (5) ◽  
pp. 1596-1606 ◽  
Author(s):  
Chun Li ◽  
Zeng-Qi Ou ◽  
Chun-Lei Tang
Keyword(s):  
Periodic Solutions ◽  
Hamiltonian Systems
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