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10.1098/rspa.2014.0838 http://scihub22266oqcxt.onion/10.1098/rspa.2014.0838 C4353043!4353043 !25792959     free     free     free Warning: file_get_contents(https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pubmed&id=25792959 &cmd=llinks): Failed to open stream: HTTP request failed! HTTP/1.1 429 Too Many Requests in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 215 Warning: imagejpeg(C:\Inetpub\vhosts\kidney.de\httpdocs\phplern\25792959 .jpg): Failed to open stream: No such file or directory in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 117       Proc+Math+Phys+Eng+Sci 2015 ; 471 (2175 ): 20140838 Nephropedia Template TP {{tp|p=25792959 |t=2015. On the energy partition in oscillations and waves |pdf=|usr=}}{{25792959 }} gab.com Text On the energy partition in oscillations and waves JO: Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=25792959 #FOAvip A class of generally nonlinear dynamical systems is considered, for which the Lagrangian is represented as a sum of homogeneous functions of the displacements and their derivatives. It is shown that an energy partition as a single relation follows directly from the Euler-Lagrange equation in its general form. The partition is defined solely by the homogeneity orders. If the potential energy is represented by a single homogeneous function, as well as the kinetic energy, the partition between these energies is defined uniquely. For a steady-state solitary wave, where the potential energy consists of two functions of different orders, the Derrick-Pohozaev identity is involved as an additional relation to obtain the partition. Finite discrete systems, finite continuous bodies, homogeneous and periodic-structure waveguides are considered. The general results are illustrated by examples of various types of oscillations and waves: linear and nonlinear, homogeneous and forced, steady-state and transient, periodic and non-periodic, parametric and resonant, regular and solitary. Twit Text FOAVip On the energy partition in oscillations and waves ????Proc Math Phys Eng Sci http://www.kidney.de/pget.php?&tw=1&pmid=25792959 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=25792959 #FOAvip English Wikipedia <ref>{{Cite pmid|25792959 }}</ref> On the energy partition in oscillations and waves #MMPMID25792959 Slepyan LI Proc Math Phys Eng Sci 2015[Mar]; 471 (2175 ): 20140838 PMID25792959 show ga A class of generally nonlinear dynamical systems is considered, for which the Lagrangian is represented as a sum of homogeneous functions of the displacements and their derivatives. It is shown that an energy partition as a single relation follows directly from the Euler-Lagrange equation in its general form. The partition is defined solely by the homogeneity orders. If the potential energy is represented by a single homogeneous function, as well as the kinetic energy, the partition between these energies is defined uniquely. For a steady-state solitary wave, where the potential energy consists of two functions of different orders, the Derrick-Pohozaev identity is involved as an additional relation to obtain the partition. Finite discrete systems, finite continuous bodies, homogeneous and periodic-structure waveguides are considered. The general results are illustrated by examples of various types of oscillations and waves: linear and nonlinear, homogeneous and forced, steady-state and transient, periodic and non-periodic, parametric and resonant, regular and solitary. äOn the energy partition in oscillations and waves (epmc).pdf DeepDyve Pubget Overpricing