On ordinary differential equations admitting a finite linear group of symmetries

DOI10.1006/jmaa.1997.5668zbMath0910.34043OpenAlexW2050073706MaRDI QIDQ1378691

Michael K. Kinyon, Sebastian Walcher

Publication date: 19 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5668

zbMATH Keywords

ordinary differential equationsfinite groupdiscrete symmetry

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Structure theory for Lie algebras and superalgebras (17B05) Lie algebras of linear algebraic groups (17B45)

Related Items (6)

Quadratic differential equations in $\mathbb {Z}_2$-graded algebras ⋮ Nahm algebras ⋮ Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations ⋮ Quadratic differential equations in the complex domain I ⋮ ASYMPTOTIC SCALING SYMMETRIES FOR NONLINEAR PDES ⋮ On the first integrals of Lotka-Volterra systems

Cites Work

• On sums of vector fields
• The geometry of spontaneous symmetry breaking
• Singularities and groups in bifurcation theory. Volume I
• Singularities and groups in bifurcation theory. Volume II
• Fonctions différentiables invariantes sous l'opération d'un groupe réductif
• Invariant theory
• Forced reflectional symmetry breaking of an O(2)-symmetric homoclinic cycle
• Algorithms in invariant theory
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