Quadratic systems having a parabola as an integral curve
1989 ◽
Vol 112
(1-2)
◽
pp. 113-134
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Keyword(s):
SynopsisThe class of quadratic systems having a parabola composed of integral curves is examined. Canonical forms are found for the members of this class, and conditions are obtained, using the Bendixson's Criterion and the Poincaré–Bendixson Theorem, for the existence or non-existence of limit cycles, in the case where there is a limit cycle “inside” the parabola (that is, in the convex component of its compliment).
1991 ◽
Vol 44
(3)
◽
pp. 511-526
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Keyword(s):
1995 ◽
Vol 52
(3)
◽
pp. 461-474
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2011 ◽
Vol 21
(02)
◽
pp. 425-429
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Keyword(s):
Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop
2016 ◽
Vol 26
(12)
◽
pp. 1650204
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Keyword(s):
2013 ◽
Vol 18
(5)
◽
pp. 708-716
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Keyword(s):
2007 ◽
Vol 17
(03)
◽
pp. 953-963
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Keyword(s):
2008 ◽
Vol 18
(10)
◽
pp. 3013-3027
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Keyword(s):
2016 ◽
Vol 26
(09)
◽
pp. 1650149
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Keyword(s):
1984 ◽
Vol 98
(3-4)
◽
pp. 215-239
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2007 ◽
Vol 62
(7-8)
◽
pp. 396-398
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