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