Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors
2017 ◽
Vol 27
(14)
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pp. 1750225
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Keyword(s):
The purpose of this paper is to apply Lagrangian Descriptors, a concept used to describe phase space structure, to autonomous Hamiltonian systems with two degrees of freedom in order to detect periodic solutions. We propose a method for Hamiltonian systems with saddle-center equilibrium and apply this approach to the classical Hénon–Heiles system. The method was successful in locating the unstable Lyapunov orbits in phase space.
2000 ◽
Vol 18
(2)
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pp. 153-162
Keyword(s):
1997 ◽
Vol 300
(1)
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pp. 59-66
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Keyword(s):
1998 ◽
Vol 5
(2)
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pp. 69-74
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Keyword(s):
Keyword(s):
1995 ◽
Vol 05
(02)
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pp. 545-549
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2020 ◽
Vol 501
(1)
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pp. 1511-1519
Keyword(s):
1973 ◽
Vol 39
(321)
◽
pp. 1461-1475
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