Two inverse problems for analytic potential systems Export

@article{citeulike:3495832, abstract = {In this paper, we solve a basic problem about the existence of an analytic potential with a prescribed period function. As an application, it is shown how to extend to the whole phase plane an arbitrary potential defined on a semiplane in order to get isochronicity.}, author = {Manosas, F.}, citeulike-article-id = {3495832}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jde.2008.01.010}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0022039608000259}, day = {04}, doi = {10.1016/j.jde.2008.01.010}, issn = {00220396}, journal = {Journal of Differential Equations}, keywords = {abelian\_integrals, complex\_analysis, integrability}, month = {March}, posted-at = {2008-11-08 08:55:18}, priority = {2}, title = {Two inverse problems for analytic potential systems}, url = {http://dx.doi.org/10.1016/j.jde.2008.01.010}, year = {2008} }

TY - JOUR ID - citeulike:3495832 L3 - citeulike-article-id:3495832 N2 - In this paper, we solve a basic problem about the existence of an analytic potential with a prescribed period function. As an application, it is shown how to extend to the whole phase plane an arbitrary potential defined on a semiplane in order to get isochronicity. JF - Journal of Differential Equations SN - 00220396 TI - Two inverse problems for analytic potential systems KW - abelian_integrals KW - complex_analysis KW - integrability AU - Manosas, F PY - 2008/03/04/ UR - http://dx.doi.org/10.1016/j.jde.2008.01.010 ER -