Oscar II's prize competition and the error in Poincaré's memoir on the three body problem

DOI10.1007/BF00374436zbMath0812.01010OpenAlexW1997589691MaRDI QIDQ1343716

June Barrow-Green

Publication date: 30 January 1995

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00374436

zbMATH Keywords

dynamical systemchaotic behaviorhomoclinic points

Mathematics Subject Classification ID

Three-body problems (70F07) History of mathematics in the 19th century (01A55)

Related Items

Interactions between mechanics and differential geometry in the \(19^{th}\) century ⋮ The solution of the \(n\)-body problem ⋮ Evolution of the general solution of the restricted problem covering symmetric and escape solutions ⋮ Book review of: G. Jeremy, Henri Poincaré. A scientific biography ⋮ Stability of trajectories from Poincaré to Birkhoff: approaching a qualitative definition ⋮ The Poincaré--Mittag-Leffler relationship. ⋮ Verification of chaotic behaviour in the planar restricted three body problem ⋮ The ``essential tension at work in qualitative analysis: A case study of the opposite points of view of Poincaré and Enriques on the relationships between analysis and geometry ⋮ Writing the history of dynamical systems and chaos: `Longue durée' and revolution, disciplines and cultures

Cites Work

• Unnamed Item
• On the foundation of Acta Mathematica
• Materials for the History of Mathematics in the Institut Mittag-Leffler