Higher Order Hamiltonian Systems with Generalized Legendre Transformation

Result code in IS VaVaI
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Result on the web
<a href="http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=59&SID=E1ls42tXmkDQk24sVaF&page=1&doc=1" target="_blank" >http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=59&SID=E1ls42tXmkDQk24sVaF&page=1&doc=1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math6090163" target="_blank" >10.3390/math6090163</a>

Result language
angličtina
Original language name
Higher Order Hamiltonian Systems with Generalized Legendre Transformation
Original language description
The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found. The generalized Legendre transformation and geometrical correspondence between solutions of the Hamilton equations and the Euler–Lagrange equations are studied. The theory is illustrated on examples of Hamiltonian systems satisfying the following conditions: (a) the Hamiltonian systemis strongly regular and the Legendre transformation exists; (b) the Hamiltonian systems strongly regular and the Legendre transformation does not exist; (c) the Legendre transformation exists and the Hamiltonian system is not regular but satisfies a weaker condition.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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