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Invariance for ordinary differential equations: Correction
1968
Mathematical Systems Theory
of the University of Illinois has pointed out that Method II can be blocked in a way not covered in lines 9 and 10 of page 227 (Math. Systems Theory 1 (1967), 225-228): if sgrp A consists entirely of permutations and resets, then T will be the ideal of resets and V the group of units; Method II will then produce a first component that is permutation-reset, and hence no simpler than the original automaton. To salvage the proof we eliminate the resets from this first component by modifying the
doi:10.1007/bf01703268
fatcat:2dou3bbcfvbdxeho7x3vqpmwsu