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Invariant Linearization Criteria for Systems of Cubically Nonlinear Second-Order Ordinary Differential Equations
Invariant linearization criteria for square systems of second-order quadratically nonlinear ordinary differential equations (ODEs) that can be represented as geodesic equations are extended to square systems of ODEs cubically nonlinear in the first derivatives.It is shown that there are two branches for the linearization problem via point transformations for an …