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Conjecture on symmetric invariant sets at the values $\varepsilon_n$
Symmetric invariant-set conjecture. At every $\varepsilon_n$ , new symmetric invariant sets appear; these sets are contained in $\mathcal{S}$ and are symmetric. The conjecture is mo…
opencoupled-maps dynamical-systems invariant-sets
05
Conjecture on the second asymmetric invariant set $\mathcal{A}_2$
Second asymmetric-set conjecture. There exists such a polyhedron $P_3$ for which $\mathcal{A}_2$ is symmetric with respect to $S_1,S_2$ and $S_4$ , asymmetric with respect to…
opencoupled-maps dynamical-systems invariant-sets
03
Connectedness conjecture for uni-Julia sets of coupled logistic-map networks
Connectedness conjecture. For any of the three models described, and for any equi-parameter $c\in\mathbb{C}$ , the uni-J set is connected only if $c$ is in the equi-M set of the net…
opencomplex-dynamics coupled-maps dynamical-systems
07

Conjecture on symmetric invariant sets at the values εn\varepsilon_nεn​