Konstantin Trifonov
pr. Gagarina 23, 603950 Nizhny Novgorod, Russia
Lobachevsky State University of Nizhny Novgorod
Publications:
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Gonchenko A. S., Gonchenko S. V., Trifonov K. N.
On Normal Forms of Reversible Systems with Lorenz Attractors and Repellers
2026, Vol. 22, no. 2, pp. 333-349
Abstract
We consider two-parameter families of three-dimensional systems, which are normal forms
for bifurcations of an equilibrium state with three zero eigenvalues in the class of systems that
are time-reversible and axially symmetric. We identify those normal forms in which bifurcations
can be observed, leading to the emergence of symmetrical “Lorenz attractor – Lorenz repeller”
pairs. We illustrate only four examples of such normal forms in which we describe bifurcation
scenarios leading to the emergence of different types of such pairs.
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