PERIODIC ORBITS IN THE NEWTON–LEIPNIK SYSTEM
2002 ◽
Vol 12
(03)
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pp. 511-523
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Keyword(s):
This paper considers an autonomous nonlinear system of differential equations derived in [Leipnik, 1979]. A criterion for the existence of closed orbits in similar systems is presented. Numerical results are made rigorous by the use of interval analytic techniques in establishing the existence of a periodic solution which is not asymptotically stable. The limitations of the method of locating orbits are considered when a promising candidate for a closed orbit is shown not to intersect itself.
2019 ◽
Vol 19
(12)
◽
pp. 1950160
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2007 ◽
Vol 40
(1)
◽
pp. 36-45
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2016 ◽
Vol 09
(05)
◽
pp. 1650071
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2002 ◽
Vol 7
(2)
◽
pp. 295
Keyword(s):
1958 ◽
Vol 11
(4)
◽
pp. 385-398
◽