Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence

DOI10.1007/BF00397829zbMath0724.58057OpenAlexW2005152217MaRDI QIDQ757939

D. Kharzeev

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00397829

zbMATH Keywords

symmetrysecond-order ordinary differential equationsdifferential invariants

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Exterior differential systems (Cartan theory) (58A15) Pseudogroups and differentiable groupoids (58H05)

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Cites Work

• Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)