4 papers
Robust chaos in a totally symmetric network of four phase oscillators
Efrosiniia Karatetskaia, Alexey Kazakov, Klim Safonov +1
We provide conditions on the coupling function such that a system of 4 globally coupled identical oscillators has chaotic attractors, a pair of Lorenz attractors or a 4-winged anal…
Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with -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 -symmetry. We prove that if the equilibrium st…
Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers
Efrosiniia Karatetskaia, Alexey Kazakov, Klim Safonov +1
We show that bifurcations of periodic orbits with multipliers can lead to the birth of pseudohyperbolic (i.e., robustly chaotic) Lorenz-like attractors of three differe…
Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model
I. I. Ovsyannikov, D. V. Turaev
We give an analytic (free of computer assistance) proof of the existence of a classical Lorenz attractor for an open set of parameter values of the Lorenz model in the form of Yudo…