论文信息 - Determinacy of degenerate equilibria with linear part x'=y, y'= 0 using ?

Determinacy of degenerate equilibria with linear part x'=y, y'= 0 using ?

A MACSYMA program is presented which implements Takens's method for proving determinacy of a flow in the neighborhood of an equilibrium point by successive blowup transformations. The program is applied to nonlinear systems with linear part x'= y, y'= 0, and an examination of the pattern of the results reveals an infinite sequence of determinacy theorems. The results are applied to the behavior of van der Pol's equation at infinity.

Robert W. Rand

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