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Title
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Conjugate points for systems of second-order ordinary differential equations
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Author
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Abstract
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| We recall the notion of Jacobi fields, as it was extended to systems of second-order ordinary differential equations. Two points along a base integral curve are conjugate if there exists a nontrivial Jacobi field along that curve that vanishes on both points. Based on arguments that involve the eigendistributions of the Jacobi endomorphism, we discuss conjugate points for a certain generalization (to the current setting) of locally symmetric spaces. Next, we study conjugate points along relative equilibria of Lagrangian systems with a symmetry Lie group. We end the paper with some examples and applications. |
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Language
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English
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Source (journal)
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International journal of geometric methods in modern physics. - Singapore, s.a.
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International journal of geometric methods in modern physics
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Publication
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Singapore
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World scientific
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2020
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ISSN
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0219-8878
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DOI
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10.1142/S0219887820500127
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Volume/pages
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17
:1
(2020)
, 25 p.
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Article Reference
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2050012
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ISI
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000515161100012
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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