On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields Export

@article{citeulike:4951443, abstract = {We find an upper bound to the maximal number of limit cycles, which bifurcate from a hamiltonian two-saddle loop of an analytic vector field, under a one-parameter analytic deformation.}, archivePrefix = {arXiv}, author = {Gavrilov, Lubomir}, citeulike-article-id = {4951443}, citeulike-linkout-0 = {http://arxiv.org/abs/0906.4363}, citeulike-linkout-1 = {http://arxiv.org/pdf/0906.4363}, day = {23}, eprint = {0906.4363}, keywords = {abelian\_integrals, limit\_cycles, polynomial\_vector\_fields}, month = {Jun}, posted-at = {2009-06-25 07:04:03}, priority = {5}, title = {On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields}, url = {http://arxiv.org/abs/0906.4363}, year = {2009} }

TY - JOUR ID - citeulike:4951443 L3 - citeulike-article-id:4951443 N2 - We find an upper bound to the maximal number of limit cycles, which bifurcate from a hamiltonian two-saddle loop of an analytic vector field, under a one-parameter analytic deformation. TI - On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields KW - abelian_integrals KW - limit_cycles KW - polynomial_vector_fields AU - Gavrilov, Lubomir PY - 2009/Jun/23/ UR - http://arxiv.org/abs/0906.4363 ER -