305 citations · 859 across the 25 of their papers we have counts for
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math-ph2012
How Scaling Symmetry Solves a Second-Order Differential Equation
Sidney Bludman, Andres Guzman, Dallas C. Kennedy
While not generally a conservation law, any symmetry of the equations of motion implies a useful reduction of any second-order equationto a first-order equation between invariants,…
math-ph2011
Scaling Symmetry and Integrable Spherical Hydrostatics
Sidney Bludman, Dallas C. Kennedy
Any symmetry reduces a second-order differential equation to a first integral: variational symmetries of the action (exemplified by central field dynamics) lead to conservation law…
math-ph2011
Applications of Classical Scaling Symmetry
Sidney Bludman
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservati…