Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with ${\mathbb{Z}}_4$-symmetry

Efrosiniia Karatetskaia, Alexey Kazakov, Klim Safonov +1

We study bifurcations of a symmetric equilibrium state in systems of differential equations invariant with respect to a ${\mathbb{Z}}_4$-symmetry. We prove that if the equilibrium st…