SMETANOVÁ, Dana. Higher Order Hamiltonian Systems with Generalized Legendre Transformation. Mathematics. BASEL, SWITZERLAND: MDPI,, 2018, roč. 6, č. 9, s. nestránkováno, 15 s. ISSN 2227-7390. Dostupné z: https://dx.doi.org/10.3390/math6090163. |
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@article{49261, author = {Smetanová, Dana}, article_location = {BASEL, SWITZERLAND}, article_number = {9}, doi = {http://dx.doi.org/10.3390/math6090163}, keywords = {Hamilton equations; Lagrangian; regular and strongly regular systems}, language = {eng}, issn = {2227-7390}, journal = {Mathematics}, title = {Higher Order Hamiltonian Systems with Generalized Legendre Transformation}, url = {http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=59&SID=E1ls42tXmkDQk24sVaF&page=1&doc=1}, volume = {6}, year = {2018} }
TY - JOUR ID - 49261 AU - Smetanová, Dana PY - 2018 TI - Higher Order Hamiltonian Systems with Generalized Legendre Transformation JF - Mathematics VL - 6 IS - 9 SP - nestránkováno EP - nestránkováno PB - MDPI, SN - 22277390 KW - Hamilton equations KW - Lagrangian KW - regular and strongly regular systems UR - http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=59&SID=E1ls42tXmkDQk24sVaF&page=1&doc=1 L2 - http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=59&SID=E1ls42tXmkDQk24sVaF&page=1&doc=1 N2 - 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. ER -
SMETANOVÁ, Dana. Higher Order Hamiltonian Systems with Generalized Legendre Transformation. \textit{Mathematics}. BASEL, SWITZERLAND: MDPI,, 2018, roč.~6, č.~9, s.~nestránkováno, 15 s. ISSN~2227-7390. Dostupné z: https://dx.doi.org/10.3390/math6090163.
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