Symmetry breaking for a system of two linear second-order ordinary differential equations
From MaRDI portal
Publication:1577394
DOI10.1023/A:1008390431287zbMath0961.34023OpenAlexW1607783778MaRDI QIDQ1577394
Publication date: 16 May 2001
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1008390431287
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items
Complex Methods for Lie Symmetry Analysis, \(W\)-symmetries of jump-diffusion Itô stochastic differential equations, Characterization of canonical classes for systems of linear ODEs, First integrals for a generalized coupled Lane-Emden system, Linearizability of systems of ordinary differential equations obtained by complex symmetry analysis, Classification of ordinary differential equations by conditional linearizability and symmetry, Systems of second-order linear ODE's with constant coefficients and their symmetries. II. The case of non-diagonal coefficient matrices, Complete group classification of systems of two linear second-order ordinary differential equations, On group classification of normal systems of linear second-order ordinary differential equations, Algebraic linearization criteria for systems of ordinary differential equations, Linearization: geometric, complex, and conditional, Noether, partial Noether operators and first integrals for a linear system, Complete group classification of systems of two nonlinear second-order ordinary differential equations of the form \(\mathbf y=\mathbf F(\mathbf y)\), On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients, Two-dimensional systems that arise from the Noether classification of Lagrangians on the line, Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations, Symmetry breaking of systems of linear second-order ordinary differential equations with constant coefficients, Application of group analysis to classification of systems of three second-order ordinary differential equations, Noetherian first integrals, On certain types of point symmetries of systems of second-order ordinary differential equations, Symmetries and invariants of the systems of two linear second-order ordinary differential equations, Reduction of Order for Systems of Ordinary Differential Equations, Complex Lie symmetries for scalar second-order ordinary differential equations, Conditional linearizability criteria for a system of third-order ordinary differential equations, Invariant Linearization Criteria for Systems of Cubically Nonlinear Second-Order Ordinary Differential Equations, Linearization from complex Lie point transformations, Complete group classification of systems of two linear second‐order ordinary differential equations: the algebraic approach