科研之友
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摘要
A novel class of N-body problems is identified, with N an arbitrary positive integer (N >= 2). These models are characterized by Newtonian ("accelerations equal forces") equations of motion describing N equal point-particles moving in the complex z-plane. These highly nonlinear equations feature N arbitrary coupling constants, yet they can be solved by algebraic operations and if all the N coupling constants are real and rational the corresponding N-body problem is isochronous: its generic solutions are all completely periodic with an overall period T independent of the initial data (but many solutions feature subperiods T/p with p integer). It is moreover shown that these models are Hamiltonian. Published by AIP Publishing.
- 出版日期2016-7
