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Recent advances in the n-body problem

Organizer(s):
Name:	Affiliation:	Country:
Kuo-Chang Chen	National Tsing Hua University	Taiwan
Mitsuru Shibayama	Kyoto University	Japan
Guowei Yu	Nankai University	Peoples Rep of China

Introduction:

The n-body problem is a classic topic in mathematics and physics with long history. With developments of mathematical and computational tools, there are exciting progresses during the past two decades. These progresses include variational constructions, stability, chaotic phenomena, integrability, central configurations, among others. In this special session we aim at providing a forum for researchers in this field to share latest developments and exchange ideas.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Kuo-Chang Chen	National Tsing Hua University	On behavior of solutions near collision singularities
Marian Gidea	Yeshiva University	Melnikov Method for Non-Conservative Perturbations of the Restricted Three-Body Problem
Yuika Kajihara	Kyoto University	Braids, metallic ratios and periodic solutions of the 2n-body problem
Taiga Kurokawa	Kyoto University	Existence of transit orbits in the planar restricted 3-body problem via variational methods
Shoya Motonaga	Ritsumeikan University	Existence and nonexistence of first integrals near integral curves with finite time
Bo-Yu Pan	Department of Applied Mathematics, National Chung Hsing University, Taiwan	Distance estimates for action-minimizing solutions of the n-body problem
Masaya Saito	University of Nagasaki, Siebold	Longterm inspection of orbits of a highly inclined triples system: a hierarchy exchange process including the ZKL mechanism
Mitsuru Shibayama	Kyoto University	Variational Construction of Orbits Realizing Symbolic Sequences in the Planar Sitnikov Problem
Ya-Lun Tsai	National Chung Hsing University	Some results of the enumeration problems for point vortex equilibria
Zhifu Xie	The University of Southern Mississippi	Progress on four-body central configurations
Kazuyuki Yagasaki	Kyoto University	Nonintegrability of dynamical systems near degenerate equilibria