The global symmetry group of first order differential equations and the global rectification theorem

zbMath1467.34038arXiv2010.00201MaRDI QIDQ5858417

Gábor Horváth, Eszter Gselmann

Publication date: 13 April 2021

Full work available at URL: https://arxiv.org/abs/2010.00201

zbMATH Keywords

symmetrywreath productsymmetries of differential equationsdiffeomorphism groupglobal existence and uniqueness theoremglobal rectification

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Extensions, wreath products, and other compositions of groups (20E22) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Ordinary differential equations described by their Lie symmetry algebra
• Algebraic topology
• The role of symmetries in solving differential equations
• Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0
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