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arxiv: 0810.3494 · v1 · submitted 2008-10-20 · 🧮 math-ph · math.MP

Nonlinear superpositions and Ermakov systems

classification 🧮 math-ph math.MP
keywords systemstheoryanalogousdealdifferentialequationsermakovermakov-like
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The theory of superposition rules for solutions of a Lie system of first-order differential equations is extended to deal with analogous systems of second-order and the theory is illustrated with the very rich example of Ermakov-like systems.

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