Alexey Kazakov

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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.DS2021

Leonid Shilnikov and mathematical theory of dynamical chaos

Alexey Kazakov, Sergey Gonchenko, Dmitry Turaev +1

This Focus Issue Global Bifurcations, Chaos, and Hyperchaos Theory and Applications is dedicated to the 85th anniversary of the great mathematician, one of the founding fathers of…

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

Leonid Shilnikov and mathematical theory of dynamical chaos

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