Regular Returns
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\(a) ![\[fig:retmap2\] (a) Subinterval of the return map $R: \Sigma_+ \to \Sigma)+$ of Eqs. and (b) a refinement of the subinterval. Dashed black line is the line of fixed points $R(z) = z$. (c) Periodic orbit corresponding to fixed point of $R$ at $z \approx 0.05939079$. (d) Time series of the periodic orbit. The orbit is decomposed into red, gray, green, blue, magenta, and black segments (defined as in Sec. \[sec:maps\]). Parameter set: $\nu \approx 0.00870134$, $a = -0.3$, $b = -1$, $c = 1$.](3apng.png "fig:"){width="45.00000%"} (b) ![\[fig:retmap2\] (a) Subinterval of the return map $R: \Sigma_+ \to \Sigma)+$ of Eqs. and (b) a refinement of the subinterval. Dashed black line is the line of fixed points $R(z) = z$. (c) Periodic orbit corresponding to fixed point of $R$ at $z \approx 0.05939079$. (d) Time series of the periodic orbit. The orbit is decomposed into red, gray, green, blue, magenta, and black segments (defined as in Sec. \[sec:maps\]). Parameter set: $\nu \approx 0.00870134$, $a = -0.3$, $b = -1$, $c = 1$.](3bpng.png "fig:"){width="45.00000%"}\
(c) ![\[fig:retmap2\] (a) Subinterval of the return map $R: \Sigma_+ \to \Sigma)+$ of Eqs. and (b) a refinement of the subinterval. Dashed black line is 