Estimates on Invariant Tori Near an Elliptic Equilibrium Point of a Hamiltonian System Export

@misc{citeulike:1164994, abstract = {We give a precise statement for KAM theorem in a neighbourhood of an elliptic equilibrium point of a Hamiltonian system. If the frequencies of the elliptic point are nonresonant up to a certain order K 4, and a nondegeneracy condition is fulfilled, we get an estimate for the measure of the complement of the KAM tori in a neighbourhood of given radius. Moreover, if the frequencies satisfy a Diophantine condition, with exponent {\o} , we show that in a neighbourhood of radius r the measure of the...}, author = {Delshams, A. and Guti'errez, P.}, citeulike-article-id = {1164994}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.5792}, keywords = {hamiltoniansys, math}, posted-at = {2007-03-15 01:36:49}, priority = {2}, title = {Estimates on Invariant Tori Near an Elliptic Equilibrium Point of a Hamiltonian System}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.5792}, year = {1996} }

TY - GEN ID - citeulike:1164994 L3 - citeulike-article-id:1164994 N2 - We give a precise statement for KAM theorem in a neighbourhood of an elliptic equilibrium point of a Hamiltonian system. If the frequencies of the elliptic point are nonresonant up to a certain order K 4, and a nondegeneracy condition is fulfilled, we get an estimate for the measure of the complement of the KAM tori in a neighbourhood of given radius. Moreover, if the frequencies satisfy a Diophantine condition, with exponent ø , we show that in a neighbourhood of radius r the measure of the... TI - Estimates on Invariant Tori Near an Elliptic Equilibrium Point of a Hamiltonian System KW - hamiltoniansys KW - math AU - Delshams, A AU - Guti'errez, P PY - 1996/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.5792 ER -