Existence of periodic orbits of autonomous ordinary differential equations
1980 ◽
Vol 85
(1-2)
◽
pp. 153-172
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Keyword(s):
SynopsisThe Poincaré-Bendixson theorem, concerning the existence of periodic orbits of plane autonomous systems, is extended to higher order systems under certain conditions. Under similar conditions, a complementary theorem on the existence of recurrent orbits is also proved. For the feedback control equation, these conditions are reduced to a form which can be easily verified in practice.
1979 ◽
Vol 83
(1-2)
◽
pp. 63-79
◽
Keyword(s):
2021 ◽
Vol 29
(1)
◽
pp. 63-72
2007 ◽
Vol 463
(2087)
◽
pp. 2929-2944
◽
2000 ◽
Vol 30
(2)
◽
pp. 435-446
◽
2012 ◽
Vol 8
(1)
◽
pp. 77-81
◽
Keyword(s):