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The symplectic matrix Riccati system and a discrete form of an equation of the Chazy XII classification. (English) Zbl 1115.34306

Summary: An example of a non-linear third order differential equation in the Chazy XII classification is shown to be equivalent to a symplectic Riccati system. This relationship is then used to obtain a discrete form of the above differential equation and both are linearisable.

MSC:

34A34 Nonlinear ordinary differential equations and systems
34M99 Ordinary differential equations in the complex domain
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