Dmitry Turaev

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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…

math.DS2015

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…

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

Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model

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