Symmetries and invariants of the systems of two linear second-order ordinary differential equations

DOI10.1016/j.cnsns.2014.02.023zbMath1470.34101OpenAlexW2025179229MaRDI QIDQ2300270

Yulia Yurievna Bagderina

Publication date: 27 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.02.023

zbMATH Keywords

equivalenceinvariantsystem of linear equationsLie symmetry

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Linear ordinary differential equations and systems (34A30) Dynamics induced by flows and semiflows (37C10) Lie algebras of Lie groups (22E60)

Related Items (5)

Group classification and conservation laws of a class of hyperbolic equations ⋮ Differential invariants of a generalized variable-coefficient Gardner equation ⋮ Group classification and exact solutions of a class of nonlinear waves ⋮ Singular invariant structures for Lie algebras admitted by a system of second-order ODEs ⋮ Moving frames for Lie symmetries reduction of nonholonomic systems

Cites Work

• Unnamed Item
• Systems of second-order linear ODE's with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices
• Systems of second-order linear ODE's with constant coefficients and their symmetries
• Comment on ``Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients
• Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients
• Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients
• Linearization criteria for a system of second-order ordinary differential equations
• Complete group classification of systems of two linear second-order ordinary differential equations
• Symmetry breaking for a system of two linear second-order ordinary differential equations
• On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients
• Symmetries of differential equations. IV
• Symmetries of linear systems of second-order ordinary differential equations
• Lie point symmetries for systems of second order linear ordinary differential equations

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