Ground State Homoclinic Solutions for Damped Vibration Systems with Periodicity
Differential Equations and Dynamical SystemsHomoclinic solutions play an important role in the study of global bifurcations and complex behavior of dynamical systems in different fields of research. In this paper, the author is concerned with the following periodic damped vibration system \[ \ddot{u}+q(t)\dot{u}-L(t)u+\nabla W(t,u)=0, \] where \(L\in C(\mathbb{R}, \mathbb{R}^{N^2})\) is a ...
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