中科院数学与系统科学研究院
数学研究所
学术报告
动力系统研讨班
报告人：孙善忠 教授（首都师范大学）
题 目：On the uniqueness of convex central configurations in the planar 4-body problem
时 间：2023.06.29（星期四）14:00-15:00
地 点：数学院南楼N913
摘 要：Central configurations are solutions to an algebraic system derived from the Newton system of equations in the N-body problem and responsible for some dynamical behavior. There is a conjecture about the uniqueness of convex central configuration in the planar 4-body problem. We confirmed the conjecture for a closed domain of masses in the mass space. Our proof is computer-assisted, and is a combination of the interval analysis and implicit function theorem. The talk is based on the recent joint work with Zhifu XIE and Peng YOU.