Geodesic
Periodic Solutions For ẋ = Ax + G(x, t) + ∊p(t)
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 575-577

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We wish to establish the existence of a periodic solution to 1 where x, g and p are n-vectors, A is an n × n constant matrix, and ∊ is a small scalar parameter. We assume that g and p are locally Lipschitz in x and continuous and T-periodic in t, and that the origin is a point of asymptotically stable equilibrium, when ∊ = 0. 
Ponzo, Peter J. Periodic Solutions For ẋ = Ax + G(x, t) + ∊p(t). Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 575-577. doi: 10.4153/CMB-1971-105-4
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     author = {Ponzo, Peter J.},
     title = {Periodic {Solutions} {For} ẋ = {Ax} + {G(x,} t) + \ensuremath{\in}p(t)},
     journal = {Canadian mathematical bulletin},
     pages = {575--577},
     year = {1971},
     volume = {14},
     number = {4},
     doi = {10.4153/CMB-1971-105-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-105-4/}
}
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