Equilibrium configurations for a system of N particles in the plane

Kathryn Glass

doi:10.1016/S0375-9601(97)00720-2

Equilibrium configurations for a system of N particles in the plane

Kathryn Glass^*

^*Corresponding author for this work

National Centre for Epidemiology and Population Health

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We bring together work on central configurations of the classical N-body problem and on asymptotic properties of a system of repelling particles. By introducing a parameter β, we consider configurations that occur in these problems to be special cases of a more general system. We describe an asymmetric configuration obtained in the eight-particle system and investigate a bifurcation occurring in the four-particle system.

Original language	English
Pages (from-to)	591-596
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	235
Issue number	6
DOIs	https://doi.org/10.1016/S0375-9601(97)00720-2
Publication status	Published - 24 Nov 1997

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10.1016/S0375-9601(97)00720-2

Cite this

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title = "Equilibrium configurations for a system of N particles in the plane",

abstract = "We bring together work on central configurations of the classical N-body problem and on asymptotic properties of a system of repelling particles. By introducing a parameter β, we consider configurations that occur in these problems to be special cases of a more general system. We describe an asymmetric configuration obtained in the eight-particle system and investigate a bifurcation occurring in the four-particle system.",

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AB - We bring together work on central configurations of the classical N-body problem and on asymptotic properties of a system of repelling particles. By introducing a parameter β, we consider configurations that occur in these problems to be special cases of a more general system. We describe an asymmetric configuration obtained in the eight-particle system and investigate a bifurcation occurring in the four-particle system.

KW - Bifurcation

KW - Central configurations

KW - N-body problem

KW - Particles

KW - Repulsive interactions

UR - https://www.scopus.com/pages/publications/0007082063

U2 - 10.1016/S0375-9601(97)00720-2

DO - 10.1016/S0375-9601(97)00720-2

M3 - Article

AN - SCOPUS:0007082063

SN - 0375-9601

VL - 235

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -

Equilibrium configurations for a system of N particles in the plane

Abstract

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