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…
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…