- 08-35 Giampaolo Cicogna
- Reduction of systems of first-order differential equations via Lambda-symmetries
Feb 25, 08
(auto. generated ps),
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Abstract. The notion of lambda-symmetries, originally introduced by C. Muriel and J.L. Romero,
is extended to the case of systems of first-order ODE's (and of dynamical systems in particular).
It is shown that the existence of a symmetry of this type produces a reduction of
the differential equations, restricting the presence of the variables
involved in the problem. The results are compared with the case of standard
(i.e. exact) Lie-point symmetries and are also illustrated by some examples.