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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva

Zhurnal SVMO, 2020, Volume 22, Number 4, Pages 434–441 (Mi svmo781)

Morse-Bott energy function for surface $\Omega$-stable flows
A. E. Kolobyanina, V. E. Kruglov

References

1. A. A. Andronov, L. S. Pontryagin, “Gough systems”, Dokl. AN SSSR, 14:5 (1937), 247–250 (in Russ.)
2. S. Smale, “On gradient dynamical systems”, Annals of Mathematics, 74 (1961), 199–206  crossref  mathscinet  zmath
3. K. R. Meyer, “Energy function for Morse-Smale”, American Journal of Mathematics,, 90:4 (1968), 1031–1040  crossref  mathscinet  zmath
4. A. A. Bosova, V. E. Kruglov, O. V. Pochinka, “Energy funtion for $\Omega$-stable flow with a saddle connection on a surface”, Tavricheskiy vestnik informatiki i matematiki, 4:37 \year 2017, 51–58 (in Russ.)
5. A. E. Kolobyanina, V. E. Kruglov, “Energy function for $\Omega$-stable flows without limit cycles on surfaces”, SVMO, 21:4 (2019), 460–468 (in Russ.)  mathnet


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