\(x[t_] := Mod[xo + t/t1, 1]
		\)y[t_] := Mod[yo + t/t2, 1]

t1 = 5

t2 = 3

xo = 0.1

yo = 0

x[1]

y[1]

ParametricPlot[{x[t], y[t]}, {t, 0, 30}, PlotPoints -> 600]

t2 = 3.05467

ParametricPlot[{x[t], y[t]}, {t, 0, 1000}, PlotPoints -> 5000]