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The variant weak linking theorem is as follows.
The variant weak linking theorem is the following.
Thus, a variant generalized weak linking theorem is also given in this section.
We shall use the following variant weak linking theorem to prove our result.
By using a variant and generalized weak linking theorem, the existence of the nontrivial time homoclinic solutions for the system will be obtained.
In the present paper, our main purpose is to study the existence of the periodic orbits for system (1.1) via the linking and weak linking theory.
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