Rotating periodic solutions for asymptotically linear second-order Hamiltonian systems with resonance at infinity

2017 ◽  
Vol 40 (18) ◽  
pp. 7139-7150 ◽  
Author(s):  
Guanggang Liu ◽  
Yong Li ◽  
Xue Yang
2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Juhong Kuang

We deal with the quasi-periodic solutions of the following second-order Hamiltonian systemsx¨(t)=∇F(t,x(t)), wherex(t)=(x1(t),…,xN(t)), and we present a new approach via variational methods and Minmax method to obtain the existence of quasi-periodic solutions to the above equation.


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