Aspects of Poincaré's program for dynamical systems and mathematical physics

DOI10.1007/S10440-012-9700-8zbMath1277.01009OpenAlexW2156840993MaRDI QIDQ384082

Ferdinand Verhulst

Publication date: 25 November 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9700-8

zbMATH Keywords

dynamical systemsrelativitycharacteristic exponentsrotating fluidsHenri Poincaré

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of dynamical systems and ergodic theory (37-03)

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Cites Work

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• The mathematical development of the classical ellipsoids
• Henri Poincaré
• Hamiltonian systems in \(1:2:\omega\)-resonance (\(\omega=5\) or 6)
• Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance
• Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella?
• Averaging methods in nonlinear dynamical systems

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