Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles
Sign Up to like & getrecommendations! Published in 2021 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-021-09517-9
Abstract: This paper presents a methodology to study non-twist invariant circles and their bifurcations for area preserving maps, which is supported on the theoretical framework developed in Gonzalez-Enriquez et al. (Mem. Amer. Math. Soc. 227:vi+115, 2014).… read more here.
Keywords: methodology; non twist; invariant circles; computation ... See more keywords
Birkhoff averages and rotational invariant circles for area-preserving maps
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132569
Abstract: Abstract Rotational invariant circles of area-preserving maps are an important and well-studied example of KAM tori. John Greene conjectured that the locally most robust rotational circles have rotation numbers that are noble, i.e., have continued… read more here.
Keywords: area preserving; preserving maps; invariant circles; rotational invariant ... See more keywords