Nilpotence of orbits under monodromy and the length of Melnikov functions

Author:

Mardešić PavaoORCID,Novikov Dmitry,Ortiz-Bobadilla Laura,Pontigo-Herrera Jessie

Funder

UNAM DGAPA

Israel Science Foundation

Hrvatska Zaklada za Znanost

European Social Fund

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference11 articles.

1. Arnold’s Problems;Arnold,2004

2. Higher order Poincaré-Pontryagin functions and iterated path integrals;Gavrilov;Ann. Fac. Sci. Toulouse Math. (6),2005

3. The displacement map associated to polynomial unfoldings of planar Hamiltonian vector fields;Gavrilov;Amer. J. Math.,2005

4. Bounding the length of iterated integrals of the first non-zero Melnikov function;Mardešić;Mosc. Math. J.,2018

5. Infinite orbit depth and length of Melnikov functions;Mardešić;Ann. Inst. H. Poincaré Anal. Non Linéaire,2019

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