Dmitry Turaev

collaborators

3 papers

nlin.CD2024

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…

math.DS2024

Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with $Z_{4}$ -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 $Z_{4}$ -symmetry. We prove that if the equilibrium st…

nlin.CD2024

Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers $(- 1, i, - i)$

Efrosiniia Karatetskaia, Alexey Kazakov, Klim Safonov +1

We show that bifurcations of periodic orbits with multipliers $(- 1, i, - i)$ can lead to the birth of pseudohyperbolic (i.e., robustly chaotic) Lorenz-like attractors of three differe…

Robust chaos in a totally symmetric network of four phase oscillators

Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with Z4​-symmetry

Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers (−1,i,−i)

Analytic proof of the emergence of new type of Lorenz-like attractors from the triple instability in systems with $Z_{4}$ -symmetry

Multi-winged Lorenz attractors due to bifurcations of a periodic orbit with multipliers $(- 1, i, - i)$