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Hamiltonian Dynamics and Celestial Mechanics

Organizer(s):
Name:	Affiliation:	Country:
Zhifu Xie	The University of Southern Mississippi	USA
Marian Gidea	Yeshiva University	USA
Ernesto Perez-Chavela	Instituto Tecnologico Autonomo de Mexico	Mexico

Introduction:

This special session will concentrate on the latest developments in the fields of Hamiltonian Dynamics and Celestial Mechanics.The study of the N-body problem, which laid the foundations for the birth of dynamical systems, continues to attract researchers from a wide range of fields such as variational calculus, algebraic and symplectic geometry, ergodic theory, topology, numerical analysis, and KAM theory. This session will include topics related to central configurations, the N-body problem in spaces of constant curvature, new periodic solutions, regularization of collisions, index theory and symplectic invariants, stability and instability of solutions, and applications to spacecraft orbital design. Leaders in the field, experts in different areas of dynamical systems, as well as young researchers, will have the opportunity to build an active and stimulating framework to exchange ideas, identify new research directions, and initiate new collaborations. If the schedule permits, we anticipate ending the session with a discussion on open problems.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Cheng Chen	Sichuan University	Weak Compactness Criterion in $W^{k,1}$ with an Existence Theorem of Minimizers
Kuo-Chang Chen	National Tsing Hua University	On finiteness of central configurations by symbolic computations
Anna Maria Cherubini	University of Salento	Exploration of billiards with Keplerian potential
Elena Fantino	Khalifa University of Science and Technology	An efficient approach to the design of low-energy transfers in n-body systems
Marian Gidea	Yeshiva University	Geometric properties of normally hyperbolic invariant manifolds for conformally symplectic systems
Fengying Li	Southwestern University of Finance and Economics	A generalized mountain pass lemma with a closed subset for locally Lipschitz functionals
Yangshanshan Liu	Chern Institute of Mathematics at Nankai University	On the uniqueness of the planar 5-body central configuration with a trapezoidal convex hull
Agustin Moreno	Heidelberg University	The symplectic geometry of the restricted three-body problem
Shoya Motonaga	Ritsumeikan University	Real-analytic nonintegrability of nearly integrable systems and Melnokov method
Pablo Roldan	Universitat Politecnica de Catalunya	Semi-analytical exploration of drift trajectories near $L_1$ in the Spatial RTBP
Otto van Koert	Seoul National University, Department of Mathematics	Computational symplectic topology and the restricted three-body problem
Zhifu Xie	The University of Southern Mississippi	Investigation of Bifurcations of Central Configurations
Jinxin Xue	Tsinghua University	Global dynamics of the N-body problem.
Kazuyuki Yagasaki	Kyoto University	Nonintegrability of the restricted three-body problem
Guowei Yu	Chern Institute of Math, Nankai University	A symplectic dynamics approach to the spatial isosceles three-body problem
Jianlu ZHANG	Academy of Mathematics and Systems Science	Selection principle of generalized Hamilton-Jacobi equations