Geodesic
Time-reversibility and ivariants of some $3$-dim systems
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2023), pp. 16-28

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We study time-reversibility and invariants of the group of transformations $x\to x, ~y\to \alpha y, ~z \to \alpha ^{-1}z$ for three-dimensional polynomial systems with $0:1:-1$ resonant singular point at the origin. An algorithm to find the Zariski closure of the set of time-reversible systems in the space of parameters is proposed. The interconnection of time-reversibility and invariants of the group mentioned above is discussed. 
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     title = {Time-reversibility and ivariants of some $3$-dim systems},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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Tatjana Petek; Valery G. Romanovski. Time-reversibility and ivariants of some $3$-dim systems. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2023), pp. 16-28. http://geodesic.mathdoc.fr/item/BASM_2023_1_a2/