In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps. Astakhov, Vladimir, Shabunin, Alexey, Klimshin, Alexander, Anishchenko, Vadim (2002) Discrete Dynamics in Nature and Society
Invariance of Poincaré-Lyapunov polynomials under the group of rotations. Joyal, Pierre (1998) Electronic Journal of Differential Equations (EJDE) [electronic only]
Invariant curves from symmetry Michal Fečkan (1993) Mathematica Bohemica We show that certain symmetries of maps imply the existence of their invariant curves.